ABCF->ab-angle angle
Time bar (total: 13.5s)
| 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)
| 702.0ms | 5 517× | 0 | valid |
| 594.0ms | 1 079× | 1 | valid |
| 582.0ms | 1 615× | 2 | valid |
| 17.0ms | 44× | 3 | valid |
| 0.0ms | 1× | 4 | valid |
ival-mult: 443.0ms (27.8% of total)ival-pow2: 242.0ms (15.2% of total)ival-div: 224.0ms (14.1% of total)ival-sub: 179.0ms (11.3% of total)adjust: 145.0ms (9.1% of total)ival-atan: 133.0ms (8.4% of total)ival-sqrt: 114.0ms (7.2% of total)ival-add: 62.0ms (3.9% of total)ival-pi: 30.0ms (1.9% of total)exact: 10.0ms (0.6% of total)ival-true: 6.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 1× | egg-herbie |
| 4 768× | accelerator-lowering-fma.f32 |
| 4 768× | accelerator-lowering-fma.f64 |
| 1 636× | div-sub |
| 1 004× | *-lowering-*.f32 |
| 1 004× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 219 |
| 1 | 194 | 195 |
| 2 | 561 | 193 |
| 3 | 1780 | 191 |
| 4 | 5521 | 191 |
| 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))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 137 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 50 | 0 | - | 0 | - | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| 20 | 0 | - | 1 | (-1.431073579858935e-57 -1.2864338494903477e-186 -4.839379569562349e-132) | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 2 | 0 | - | 2 | (2.1058389206481798e+102 -9.618992352023569e-86 5.941151221592814e+229) | (*.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 | - | 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 | 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 | 137 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 66 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 102 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 137 | |
-.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 | 50 | 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 | 19 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 132 | 0 |
| - | 43 | 81 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 132 | 0 | 0 |
| - | 43 | 0 | 81 |
| number | freq |
|---|---|
| 0 | 81 |
| 1 | 144 |
| 2 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 336× | 0 | valid |
| 49.0ms | 98× | 2 | valid |
| 21.0ms | 78× | 1 | valid |
Compiled 332 to 80 computations (75.9% saved)
ival-pow2: 24.0ms (27.9% of total)ival-sub: 11.0ms (12.8% of total)ival-mult: 11.0ms (12.8% of total)ival-div: 10.0ms (11.6% of total)adjust: 10.0ms (11.6% of total)ival-sqrt: 6.0ms (7% of total)ival-atan: 6.0ms (7% of total)ival-add: 4.0ms (4.7% of total)ival-pi: 2.0ms (2.3% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.1% | (*.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))) |
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 | 99.8% | (*.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 | 93.2% | (*.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)))))) |
| ✓ | accuracy | 81.8% | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| ✓ | accuracy | 50.2% | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 25.0ms | 168× | 0 | valid |
| 18.0ms | 49× | 2 | valid |
| 10.0ms | 39× | 1 | valid |
Compiled 140 to 21 computations (85% saved)
ival-div: 7.0ms (19.3% of total)ival-pow2: 7.0ms (19.3% of total)ival-sub: 5.0ms (13.8% of total)ival-mult: 5.0ms (13.8% of total)adjust: 4.0ms (11% of total)ival-sqrt: 3.0ms (8.3% of total)ival-atan: 3.0ms (8.3% of total)ival-add: 2.0ms (5.5% of total)ival-pi: 1.0ms (2.8% 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 (* 180 (/ (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 (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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 (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | A | @ | 0 | (pow (- A C) 2) |
| 1.0ms | B | @ | 0 | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 1.0ms | A | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | C | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | C | @ | -inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 1× | batch-egg-rewrite |
| 4 914× | accelerator-lowering-fma.f32 |
| 4 914× | accelerator-lowering-fma.f64 |
| 4 236× | *-lowering-*.f32 |
| 4 236× | *-lowering-*.f64 |
| 3 400× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 82 |
| 1 | 125 | 78 |
| 2 | 1016 | 78 |
| 0 | 8530 | 56 |
| 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)))) |
(* 180 (/ (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)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 C A)) #s(literal 2 binary64))) |
(fma.f64 A (-.f64 A C) (*.f64 C (-.f64 C A))) |
(fma.f64 C (-.f64 C A) (*.f64 A (-.f64 A C))) |
(fma.f64 (-.f64 A C) A (neg.f64 (*.f64 (-.f64 A C) C))) |
(fma.f64 (-.f64 A C) (neg.f64 C) (*.f64 (-.f64 A C) A)) |
(fma.f64 (-.f64 C A) C (neg.f64 (*.f64 (-.f64 C A) A))) |
(fma.f64 (-.f64 C A) (neg.f64 A) (*.f64 (-.f64 C A) C)) |
(fma.f64 (neg.f64 C) (-.f64 A C) (*.f64 A (-.f64 A C))) |
(fma.f64 (neg.f64 A) (-.f64 C A) (*.f64 C (-.f64 C A))) |
(/.f64 (-.f64 A C) (/.f64 #s(literal 1 binary64) (-.f64 A C))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (fma.f64 A (+.f64 A C) (*.f64 C C))) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (fma.f64 A (+.f64 A C) (*.f64 C C))) (*.f64 (-.f64 A C) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (+.f64 A C)) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (*.f64 (-.f64 C A) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A C) (fma.f64 A (+.f64 A C) (*.f64 C C))) (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (*.f64 (-.f64 C A) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (-.f64 C A)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (-.f64 C A)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (fma.f64 A A (*.f64 C (+.f64 A C)))) (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (+.f64 A C)) (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (-.f64 A C) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A C) (fma.f64 A A (*.f64 C (+.f64 A C)))) (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (*.f64 (-.f64 A C) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))))) |
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(*.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 (*.f64 C (*.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)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (*.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))))) |
(*.f64 (*.f64 (+.f64 C (+.f64 A (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 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(neg.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)) (PI.f64))) #s(literal 180 binary64))) |
(neg.f64 (*.f64 #s(literal 180 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 (*.f64 #s(literal 180 binary64) (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)))) |
(neg.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal -180 binary64)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.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 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 1/180 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.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 180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (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 #s(literal 180 binary64) (/.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 180 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) (neg.f64 (*.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 1/180 binary64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (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 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal -180 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (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 #s(literal 180 binary64) (/.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 #s(literal -180 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 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal -180 binary64))) (PI.f64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (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 #s(literal 180 binary64) (/.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 (/.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 1/180 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 180 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 #s(literal 180 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 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.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) (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 180 binary64)) |
(*.f64 (*.f64 #s(literal 180 binary64) (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)) #s(literal -180 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 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 (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 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 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (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)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (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)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 180 binary64) (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 #s(literal 180 binary64) (/.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 #s(literal -180 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 180 binary64) (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 (/.f64 #s(literal 180 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 180 binary64) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (neg.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 180 binary64) (neg.f64 (sqrt.f64 (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))) (sqrt.f64 (PI.f64)))) |
(*.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))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.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))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (neg.f64 (PI.f64)))) |
(*.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))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (neg.f64 (cbrt.f64 (PI.f64))))) |
| 1× | egg-herbie |
| 8 978× | accelerator-lowering-fma.f32 |
| 8 978× | accelerator-lowering-fma.f64 |
| 5 834× | *-lowering-*.f32 |
| 5 834× | *-lowering-*.f64 |
| 3 320× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 653 | 4303 |
| 1 | 2037 | 4108 |
| 2 | 6286 | 4068 |
| 0 | 8196 | 3537 |
| 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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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 (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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))) |
| 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 #s(literal 2 binary64) C (*.f64 C (/.f64 C (neg.f64 A)))) A))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (*.f64 C (/.f64 C (neg.f64 A)))) 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 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) (fma.f64 A (/.f64 A (*.f64 C C)) #s(literal 1 binary64))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) (fma.f64 A (/.f64 A (*.f64 C 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 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (*.f64 A A) C)) C))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (*.f64 A A) C)) C))) |
(/ (- (* 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))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A 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)))) |
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 (- A C) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 A C) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) B) (-.f64 A C)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 C A) (/.f64 (fma.f64 (-.f64 A C) (*.f64 (-.f64 A C) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) #s(literal -1/8 binary64)) (*.f64 B B))) B)) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 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))))))))) |
(fma.f64 C (fma.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B)) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 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))))))))) |
(fma.f64 C (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B))))) (/.f64 C B))) (fma.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
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(* -1 (/ (+ A (* -1 A)) B)) |
#s(literal 0 binary64) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)) |
(+ (* -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))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 A A)))) (*.f64 B (*.f64 C (*.f64 C C)))) #s(literal 0 binary64))) |
(* 2 (/ C B)) |
(*.f64 #s(literal 2 binary64) (/.f64 C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 A (*.f64 B C)) (/.f64 #s(literal -2 binary64) B)) (neg.f64 C)) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(*.f64 C (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 B C) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) C) (/.f64 #s(literal 2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(*.f64 C (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (/.f64 A C) B) C) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) C) (/.f64 #s(literal 2 binary64) B))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) 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))))) |
(fma.f64 (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (/.f64 A B) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(- (+ (* 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))))) |
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(- (+ (* 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))))) |
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(* -2 (/ A B)) |
(/.f64 (*.f64 #s(literal -2 binary64) A) B) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (+.f64 (/.f64 C (*.f64 B A)) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) 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))))) |
(*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (/.f64 (*.f64 B C) (*.f64 A (*.f64 A A)))) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
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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 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)) |
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(+ (pow B 2) (pow C 2)) |
(fma.f64 B B (*.f64 C C)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(fma.f64 B B (*.f64 C (fma.f64 #s(literal -2 binary64) A C))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(fma.f64 B B (fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(fma.f64 B B (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 B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(*.f64 (*.f64 A A) (+.f64 #s(literal 1 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (fma.f64 C (/.f64 C (*.f64 A A)) (*.f64 #s(literal -2 binary64) (/.f64 C A)))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(*.f64 (*.f64 A A) (+.f64 #s(literal 1 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (fma.f64 C (/.f64 C (*.f64 A A)) (*.f64 #s(literal -2 binary64) (/.f64 C 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 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) C) (/.f64 (fma.f64 B B (*.f64 C C)) A)) A))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) C) (/.f64 (fma.f64 B B (*.f64 C C)) A)) A))) |
(+ (pow A 2) (pow B 2)) |
(fma.f64 A A (*.f64 B B)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(fma.f64 B B (*.f64 A (fma.f64 C #s(literal -2 binary64) A))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(fma.f64 B B (fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(fma.f64 B B (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)) (/ (pow B 2) (pow C 2)))))) |
(*.f64 C (*.f64 C (+.f64 #s(literal 1 binary64) (fma.f64 B (/.f64 B (*.f64 C C)) (fma.f64 A (/.f64 A (*.f64 C C)) (/.f64 (*.f64 #s(literal -2 binary64) A) C)))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(*.f64 C (*.f64 C (+.f64 #s(literal 1 binary64) (fma.f64 B (/.f64 B (*.f64 C C)) (fma.f64 A (/.f64 A (*.f64 C C)) (/.f64 (*.f64 #s(literal -2 binary64) A) C)))))) |
(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) (pow B 2)) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (fma.f64 A A (*.f64 B B)) C)) C))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (fma.f64 A A (*.f64 B B)) C)) C))) |
(pow (- A C) 2) |
(*.f64 (-.f64 A C) (-.f64 A C)) |
(+ (pow B 2) (pow (- A C) 2)) |
(fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))) |
(+ (pow B 2) (pow (- A C) 2)) |
(fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))) |
(+ (pow B 2) (pow (- A C) 2)) |
(fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))) |
(pow B 2) |
(*.f64 B B) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(*.f64 (*.f64 B B) (fma.f64 (-.f64 A C) (/.f64 (-.f64 A C) (*.f64 B B)) #s(literal 1 binary64))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(*.f64 (*.f64 B B) (fma.f64 (-.f64 A C) (/.f64 (-.f64 A C) (*.f64 B B)) #s(literal 1 binary64))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(*.f64 (*.f64 B B) (fma.f64 (-.f64 A C) (/.f64 (-.f64 A C) (*.f64 B B)) #s(literal 1 binary64))) |
(pow B 2) |
(*.f64 B B) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(*.f64 (*.f64 B B) (fma.f64 (-.f64 A C) (/.f64 (-.f64 A C) (*.f64 B B)) #s(literal 1 binary64))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(*.f64 (*.f64 B B) (fma.f64 (-.f64 A C) (/.f64 (-.f64 A C) (*.f64 B B)) #s(literal 1 binary64))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(*.f64 (*.f64 B B) (fma.f64 (-.f64 A C) (/.f64 (-.f64 A C) (*.f64 B B)) #s(literal 1 binary64))) |
(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))))))) |
(-.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (*.f64 (*.f64 C A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)) (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)))))))))) |
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A |
(* A (+ 1 (* -1 (/ C A)))) |
(-.f64 A (*.f64 A (/.f64 C A))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 A (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.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 (*.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))))) |
(fma.f64 A (/.f64 C A) (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) A) (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 B B (*.f64 C (/.f64 (*.f64 B B) A))) A) C) A) (neg.f64 A)) |
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 C (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 A (/.f64 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 A (/.f64 A (fma.f64 A A (*.f64 B B))))) (neg.f64 A)) (*.f64 (*.f64 C (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C A)) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 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)))) |
(-.f64 C (*.f64 C (/.f64 A C))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
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(* -1 C) |
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(- A C) |
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(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
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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) |
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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))))) |
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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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(- (* 2 C) (* 2 A)) |
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(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
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(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)) |
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(* -1 B) |
(neg.f64 B) |
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(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
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B |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
Compiled 27 962 to 4 028 computations (85.6% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 635 | 18 | 653 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 636 | 18 | 654 |
| Status | Accuracy | Program |
|---|---|---|
| 54.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) | |
| ▶ | 24.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
| 30.8% | (*.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))) | |
| 22.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C)) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal -1/8 binary64))) (*.f64 B A))) A)) (neg.f64 A))) (PI.f64))) | |
| 45.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) | |
| 46.3% | (*.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))) | |
| 29.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) | |
| 33.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A)) (PI.f64))) | |
| ▶ | 21.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
| 48.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) | |
| 45.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) | |
| ▶ | 25.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) (PI.f64))) |
| ▶ | 75.5% | (*.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))) |
| 45.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (neg.f64 B)))) (PI.f64))) | |
| 18.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) | |
| 20.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) | |
| 12.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) | |
| ▶ | 23.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 630 to 470 computations (25.4% 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 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) (PI.f64))) |
| ✓ | cost-diff | 1344 | (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A)) |
| ✓ | cost-diff | 0 | (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | cost-diff | 64 | (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) A) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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) |
| 4 584× | accelerator-lowering-fma.f32 |
| 4 584× | accelerator-lowering-fma.f64 |
| 2 914× | *-lowering-*.f32 |
| 2 914× | *-lowering-*.f64 |
| 1 784× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 296 |
| 1 | 86 | 280 |
| 2 | 169 | 264 |
| 3 | 405 | 264 |
| 4 | 993 | 264 |
| 5 | 3203 | 264 |
| 6 | 5455 | 264 |
| 0 | 8212 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 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 (/ (* -2 A) B)) (PI))) |
180 |
(/ (atan (/ (* -2 A) B)) (PI)) |
(atan (/ (* -2 A) B)) |
(/ (* -2 A) B) |
(* -2 A) |
-2 |
A |
B |
(PI) |
(* 180 (/ (atan (+ (* B (/ -1/2 C)) 0)) (PI))) |
180 |
(/ (atan (+ (* B (/ -1/2 C)) 0)) (PI)) |
(atan (+ (* B (/ -1/2 C)) 0)) |
(+ (* B (/ -1/2 C)) 0) |
B |
(/ -1/2 C) |
-1/2 |
C |
0 |
(PI) |
(* 180 (/ (atan (* (/ 1 B) (/ (* (* B B) 1/2) A))) (PI))) |
180 |
(/ (atan (* (/ 1 B) (/ (* (* B B) 1/2) A))) (PI)) |
(atan (* (/ 1 B) (/ (* (* B B) 1/2) A))) |
(* (/ 1 B) (/ (* (* B B) 1/2) A)) |
(/ 1 B) |
1 |
B |
(/ (* (* B B) 1/2) A) |
(* (* B B) 1/2) |
(* B B) |
1/2 |
A |
(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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) |
(* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
(/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) |
(- C A) |
(-.f64 C A) |
C |
A |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) |
(PI) |
(PI.f64) |
(* 180 (/ (atan -1) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (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 (/ (* -2 A) B)) (PI))) |
(*.f64 (atan.f64 (*.f64 A (/.f64 #s(literal -2 binary64) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (/ (* -2 A) B)) (PI)) |
(/.f64 (atan.f64 (*.f64 A (/.f64 #s(literal -2 binary64) B))) (PI.f64)) |
(atan (/ (* -2 A) B)) |
(atan.f64 (*.f64 A (/.f64 #s(literal -2 binary64) B))) |
(/ (* -2 A) B) |
(*.f64 A (/.f64 #s(literal -2 binary64) B)) |
(* -2 A) |
(-.f64 (neg.f64 A) A) |
-2 |
#s(literal -2 binary64) |
A |
B |
(PI) |
(PI.f64) |
(* 180 (/ (atan (+ (* B (/ -1/2 C)) 0)) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (+ (* B (/ -1/2 C)) 0)) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(atan (+ (* B (/ -1/2 C)) 0)) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(+ (* B (/ -1/2 C)) 0) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
B |
(/ -1/2 C) |
(/.f64 #s(literal -1/2 binary64) C) |
-1/2 |
#s(literal -1/2 binary64) |
C |
0 |
#s(literal 0 binary64) |
(PI) |
(PI.f64) |
(* 180 (/ (atan (* (/ 1 B) (/ (* (* B 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 (* (/ 1 B) (/ (* (* B B) 1/2) A))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
(atan (* (/ 1 B) (/ (* (* B B) 1/2) A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(* (/ 1 B) (/ (* (* B B) 1/2) A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
1 |
#s(literal 1 binary64) |
B |
(/ (* (* B B) 1/2) A) |
(/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A) |
(* (* B B) 1/2) |
(*.f64 B (*.f64 B #s(literal 1/2 binary64))) |
(* B B) |
(*.f64 B B) |
1/2 |
#s(literal 1/2 binary64) |
A |
(PI) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) (PI.f64))) |
| ✓ | accuracy | 87.7% | (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
| ✓ | accuracy | 77.6% | (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A)) |
| ✓ | accuracy | 100.0% | (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | accuracy | 99.7% | (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64)) |
| ✓ | accuracy | 99.6% | (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.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 | 93.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 81.8% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 59.0ms | 168× | 0 | valid |
| 38.0ms | 49× | 2 | valid |
| 19.0ms | 39× | 1 | valid |
Compiled 260 to 42 computations (83.8% saved)
ival-mult: 23.0ms (30.9% of total)ival-div: 22.0ms (29.5% of total)ival-atan: 8.0ms (10.7% of total)adjust: 7.0ms (9.4% of total)ival-hypot: 7.0ms (9.4% of total)ival-sub: 4.0ms (5.4% of total)ival-pi: 1.0ms (1.3% of total)ival-add: 1.0ms (1.3% of total)exact: 1.0ms (1.3% 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 (/ (* -2 A) B)) (PI)))> |
#<alt (/ (atan (/ (* -2 A) B)) (PI))> |
#<alt (atan (/ (* -2 A) B))> |
#<alt (/ (* -2 A) B)> |
#<alt (+ (* B (/ -1/2 C)) 0)> |
#<alt (* 180 (/ (atan (+ (* B (/ -1/2 C)) 0)) (PI)))> |
#<alt (/ (atan (+ (* B (/ -1/2 C)) 0)) (PI))> |
#<alt (atan (+ (* B (/ -1/2 C)) 0))> |
#<alt (* (/ 1 B) (/ (* (* B B) 1/2) A))> |
#<alt (* 180 (/ (atan (* (/ 1 B) (/ (* (* B B) 1/2) A))) (PI)))> |
#<alt (/ (atan (* (/ 1 B) (/ (* (* B B) 1/2) A))) (PI))> |
#<alt (atan (* (/ 1 B) (/ (* (* B B) 1/2) A)))> |
#<alt (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))> |
#<alt (/ (* (* B B) 1/2) A)> |
| 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))> |
#<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))> |
#<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))> |
#<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 (* -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 (- 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))> |
#<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 (* -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))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
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#<alt (* 1/2 (/ (pow B 2) A))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | B | @ | -inf | (/ (* -2 A) B) |
| 6.0ms | B | @ | inf | (* 180 (/ (atan (+ (* B (/ -1/2 C)) 0)) (PI))) |
| 3.0ms | C | @ | 0 | (sqrt (+ (* (- C A) (- C A)) (* B B))) |
| 2.0ms | A | @ | 0 | (/ (* (* B B) 1/2) A) |
| 1.0ms | A | @ | inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))) |
| 1× | batch-egg-rewrite |
| 5 062× | /-lowering-/.f32 |
| 5 062× | /-lowering-/.f64 |
| 4 786× | *-lowering-*.f32 |
| 4 786× | *-lowering-*.f64 |
| 3 014× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 217 |
| 1 | 207 | 203 |
| 2 | 1609 | 187 |
| 0 | 8481 | 162 |
| 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 (/ (* -2 A) B)) (PI))) |
(/ (atan (/ (* -2 A) B)) (PI)) |
(atan (/ (* -2 A) B)) |
(/ (* -2 A) B) |
(+ (* B (/ -1/2 C)) 0) |
(* 180 (/ (atan (+ (* B (/ -1/2 C)) 0)) (PI))) |
(/ (atan (+ (* B (/ -1/2 C)) 0)) (PI)) |
(atan (+ (* B (/ -1/2 C)) 0)) |
(* (/ 1 B) (/ (* (* B B) 1/2) A)) |
(* 180 (/ (atan (* (/ 1 B) (/ (* (* B B) 1/2) A))) (PI))) |
(/ (atan (* (/ 1 B) (/ (* (* B B) 1/2) A))) (PI)) |
(atan (* (/ 1 B) (/ (* (* B B) 1/2) A))) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(/ (* (* B B) 1/2) A) |
| 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 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) (/.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 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) (-.f64 C A)) (*.f64 B 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 (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 (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 (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 #s(literal 1 binary64) (sqrt.f64 (*.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))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 (*.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(-.f64 (/.f64 C B) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(-.f64 (/.f64 C B) (/.f64 (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) (/.f64 (/.f64 (*.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)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) (/.f64 (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(fma.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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) (/.f64 (*.f64 B (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 B) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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) (/.f64 (*.f64 (neg.f64 B) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) (*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (neg.f64 B)) (*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) (*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (neg.f64 B)) (*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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) (/.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 B) (*.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 B) (*.f64 #s(literal -1 binary64) (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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) B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (/.f64 #s(literal 1 binary64) B)))) |
(/.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 (/.f64 B (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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 B (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 B (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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 (neg.f64 B) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 (neg.f64 B) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
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(/.f64 (fma.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (+.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (-.f64 C A))))) |
(/.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) #s(literal 3 binary64))) (fma.f64 (-.f64 C A) (-.f64 C A) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (*.f64 (-.f64 C A) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (*.f64 (-.f64 C A) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) #s(literal 3 binary64))) (fma.f64 C C (fma.f64 (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (*.f64 C (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.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 3 binary64)) (pow.f64 (/.f64 (*.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)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.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 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (fma.f64 (/.f64 (*.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)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (*.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)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (*.f64 (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (*.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)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (fma.f64 (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (*.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(*.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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) (fma.f64 (-.f64 C A) (-.f64 C A) (-.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (-.f64 C A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))))) |
(*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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) (neg.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))))) |
(*.f64 (-.f64 (*.f64 C C) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (/.f64 #s(literal 1 binary64) (+.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 B (*.f64 B #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 A)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A))) |
(neg.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) A)) |
(/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B (*.f64 B #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 A (*.f64 B (*.f64 B #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 A) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 A (*.f64 B (*.f64 B #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (neg.f64 A)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/2 binary64))) (neg.f64 A)) |
(/.f64 (neg.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 A))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 A))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (neg.f64 A)))) |
(pow.f64 (/.f64 A (*.f64 B (*.f64 B #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 B (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(*.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) A)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) A)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 A (*.f64 B (*.f64 B #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (*.f64 B B)) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)) |
(*.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) A)) |
(*.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 A))) |
(*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 B (*.f64 B #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) A) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) A) (*.f64 B B)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 A))) |
(*.f64 (neg.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) A)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 B B)) (/.f64 #s(literal 1/2 binary64) A)) |
(*.f64 (/.f64 B #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 B #s(literal 1/2 binary64))) A)) |
(*.f64 (/.f64 (*.f64 B B) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) A)) |
(*.f64 (/.f64 (neg.f64 (*.f64 B B)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) A)) |
| 1× | egg-herbie |
| 7 990× | accelerator-lowering-fma.f32 |
| 7 990× | accelerator-lowering-fma.f64 |
| 6 038× | *-lowering-*.f32 |
| 6 038× | *-lowering-*.f64 |
| 2 870× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 6637 |
| 1 | 1856 | 6400 |
| 2 | 5728 | 6258 |
| 0 | 8299 | 5609 |
| 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)) |
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(* 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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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 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 (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(* 180 (/ (atan (* -2 (/ A B))) (PI))) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(/ (atan (* -2 (/ A B))) (PI)) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(atan (* -2 (/ A B))) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(* 180 (/ (atan (neg (* 1/2 (/ B C)))) (PI))) |
(* 180 (/ (atan (neg (* 1/2 (/ B C)))) (PI))) |
(* 180 (/ (atan (neg (* 1/2 (/ B C)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (neg (* 1/2 (/ B C)))) (PI)) |
(/ (atan (neg (* 1/2 (/ B C)))) (PI)) |
(/ (atan (neg (* 1/2 (/ B C)))) (PI)) |
(/ (atan (neg (* 1/2 (/ B C)))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (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))) |
(/ (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 (+ 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))) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* 1/2 (/ (pow B 2) A)) |
| 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))))))) |
(-.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) (*.f64 (*.f64 A C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 A A (*.f64 B B))) #s(literal 1 binary64)) (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) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 A A (*.f64 B B))) #s(literal 1 binary64)) (neg.f64 A)) (*.f64 (*.f64 A (*.f64 (*.f64 C (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 A A (*.f64 B B))) #s(literal 1 binary64))) (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 #s(literal 1/2 binary64) C))) (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))))))) |
(*.f64 C (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 C C)) (/.f64 (*.f64 A (*.f64 B B)) (*.f64 C (*.f64 C C)))) (-.f64 #s(literal 1 binary64) (/.f64 A C)))) |
(* -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))))) |
(fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B)) C) A) C) (neg.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (*.f64 A (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) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)) (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) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)) (neg.f64 C)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 A C) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)))) (*.f64 (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)))))) A))) (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))))) |
(fma.f64 A (/.f64 C A) (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) A) (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A)) A) C) A) (neg.f64 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 B (*.f64 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 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (*.f64 B #s(literal 1/2 binary64)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 (*.f64 B B) (*.f64 B B)))) 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 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B 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))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 (*.f64 B B) (*.f64 B B))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* 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 B #s(literal -1/2 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 1/2 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)) (*.f64 (*.f64 B B) (*.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 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B 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))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 (*.f64 B B) (*.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 B (*.f64 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)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.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 (*.f64 (-.f64 C A) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) 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))) |
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(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
Compiled 41 247 to 5 708 computations (86.2% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 767 | 19 | 1 786 |
| Fresh | 5 | 8 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 774 | 30 | 1 804 |
| Status | Accuracy | Program |
|---|---|---|
| 54.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) | |
| 29.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) | |
| ▶ | 24.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| 28.6% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) | |
| 24.7% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))))) | |
| 28.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) | |
| 28.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) | |
| 28.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) | |
| 29.0% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) | |
| 24.7% | (*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) | |
| ▶ | 29.0% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1 binary64))) |
| ▶ | 45.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
| 46.3% | (*.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))) | |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (*.f64 A B))) (PI.f64))) | |
| ✓ | 21.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
| 24.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 C #s(literal -2 binary64)) B))) (PI.f64))) | |
| 48.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) | |
| 45.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) | |
| ▶ | 74.5% | (*.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)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
| 74.5% | (*.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)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| ✓ | 75.5% | (*.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))) |
| 45.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (neg.f64 B)))) (PI.f64))) | |
| 18.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 C (/.f64 #s(literal 2 binary64) B))) (PI.f64))) | |
| 38.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) | |
| 29.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) | |
| 20.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) | |
| ▶ | 12.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 23.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 29.0% | (*.f64 #s(literal 180 binary64) (*.f64 (/.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))))) | |
| 24.7% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))))) |
Compiled 917 to 720 computations (21.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | (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 B #s(literal 1/2 binary64)) A)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| ✓ | 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 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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) |
| 5 280× | accelerator-lowering-fma.f32 |
| 5 280× | accelerator-lowering-fma.f64 |
| 1 608× | *-lowering-*.f32 |
| 1 608× | *-lowering-*.f64 |
| 1 060× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 348 |
| 1 | 93 | 340 |
| 2 | 177 | 340 |
| 3 | 350 | 340 |
| 4 | 780 | 340 |
| 5 | 1580 | 340 |
| 6 | 2581 | 340 |
| 7 | 4148 | 340 |
| 8 | 5218 | 340 |
| 9 | 5596 | 340 |
| 10 | 5695 | 340 |
| 11 | 5733 | 340 |
| 12 | 5759 | 340 |
| 13 | 6119 | 340 |
| 14 | 6287 | 340 |
| 15 | 6291 | 340 |
| 16 | 6291 | 340 |
| 17 | 6379 | 340 |
| 18 | 6938 | 340 |
| 0 | 6938 | 267 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))) |
180 |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (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))) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(* (PI) (sqrt (PI))) |
(PI) |
(sqrt (PI)) |
(sqrt (sqrt (PI))) |
(* 180 (/ (atan 0) (PI))) |
180 |
(/ (atan 0) (PI)) |
(atan 0) |
0 |
(PI) |
(/ (* 180 (atan (/ (* B -1/2) C))) (PI)) |
(* 180 (atan (/ (* B -1/2) C))) |
180 |
(atan (/ (* B -1/2) C)) |
(/ (* B -1/2) C) |
(* B -1/2) |
B |
-1/2 |
C |
(PI) |
(* (/ 180 (PI)) (* (atan (/ (* B 1/2) A)) 1)) |
(/ 180 (PI)) |
180 |
(PI) |
(* (atan (/ (* B 1/2) A)) 1) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
B |
1/2 |
A |
1 |
(* 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) |
| Outputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (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))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
180 |
#s(literal 180 binary64) |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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))) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(* (PI) (sqrt (PI))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI) |
(PI.f64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(sqrt (sqrt (PI))) |
(sqrt.f64 (sqrt.f64 (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) C))) (PI)) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (atan (/ (* B -1/2) C))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
180 |
#s(literal 180 binary64) |
(atan (/ (* B -1/2) C)) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(/ (* B -1/2) C) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* B -1/2) |
(*.f64 B #s(literal -1/2 binary64)) |
B |
-1/2 |
#s(literal -1/2 binary64) |
C |
(PI) |
(PI.f64) |
(* (/ 180 (PI)) (* (atan (/ (* B 1/2) A)) 1)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(* (atan (/ (* B 1/2) A)) 1) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (/ (* B 1/2) A)) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(/ (* B 1/2) A) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* B 1/2) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
1/2 |
#s(literal 1/2 binary64) |
A |
1 |
#s(literal 1 binary64) |
(* 180 (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (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 B B (*.f64 C C)))) B)) (PI.f64)) |
(atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(/ (- C (sqrt (+ (* B B) (* C C)))) B) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
(- C (sqrt (+ (* B B) (* C C)))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt (+ (* B B) (* C C))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(+ (* B B) (* C C)) |
(fma.f64 B B (*.f64 C C)) |
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 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64)) |
| ✓ | accuracy | 96.1% | (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
| ✓ | accuracy | 87.1% | (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
| ✓ | accuracy | 60.3% | (sqrt.f64 (fma.f64 B B (*.f64 C C))) |
| ✓ | accuracy | 100.0% | (*.f64 B #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
| ✓ | 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 | 98.4% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 93.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 81.8% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 55.0ms | 160× | 0 | valid |
| 49.0ms | 49× | 2 | valid |
| 28.0ms | 46× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 305 to 47 computations (84.6% saved)
ival-div: 29.0ms (29.5% of total)ival-mult: 24.0ms (24.4% of total)ival-sqrt: 11.0ms (11.2% of total)ival-atan: 11.0ms (11.2% of total)ival-hypot: 8.0ms (8.1% of total)adjust: 7.0ms (7.1% of total)ival-sub: 6.0ms (6.1% of total)ival-add: 2.0ms (2% of total)ival-pi: 1.0ms (1% of total)exact: 1.0ms (1% 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)))))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))))> |
#<alt (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))> |
#<alt (* 180 (/ (atan 0) (PI)))> |
#<alt (/ (atan 0) (PI))> |
#<alt (atan 0)> |
#<alt (PI)> |
#<alt (/ (* 180 (atan (/ (* B -1/2) C))) (PI))> |
#<alt (* 180 (atan (/ (* B -1/2) C)))> |
#<alt (atan (/ (* B -1/2) C))> |
#<alt (/ (* B -1/2) C)> |
#<alt (* (atan (/ (* B 1/2) A)) 1)> |
#<alt (* (/ 180 (PI)) (* (atan (/ (* B 1/2) A)) 1))> |
#<alt (/ 180 (PI))> |
#<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 (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))> |
#<alt (sqrt (PI))> |
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))> |
#<alt (atan (/ (* B 1/2) A))> |
#<alt (* B 1/2)> |
#<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))> |
#<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))> |
#<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))> |
#<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 (* -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 (- 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))> |
#<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 (* -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))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
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#<alt B> |
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#<alt B> |
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#<alt (* 2 C)> |
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#<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)))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | C | @ | -inf | (* 180 (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI))) |
| 1.0ms | B | @ | inf | (sqrt (+ (* B B) (* C C))) |
| 1.0ms | B | @ | inf | (* 180 (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI))) |
| 1.0ms | B | @ | -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 |
| 4 660× | *-lowering-*.f32 |
| 4 660× | *-lowering-*.f64 |
| 4 030× | /-lowering-/.f32 |
| 4 030× | /-lowering-/.f64 |
| 3 096× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 248 |
| 1 | 229 | 228 |
| 2 | 1683 | 228 |
| 0 | 8193 | 173 |
| 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)))))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))) |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
(* 180 (/ (atan 0) (PI))) |
(/ (atan 0) (PI)) |
(atan 0) |
(PI) |
(/ (* 180 (atan (/ (* B -1/2) C))) (PI)) |
(* 180 (atan (/ (* B -1/2) C))) |
(atan (/ (* B -1/2) C)) |
(/ (* B -1/2) C) |
(* (atan (/ (* B 1/2) A)) 1) |
(* (/ 180 (PI)) (* (atan (/ (* B 1/2) A)) 1)) |
(/ 180 (PI)) |
(* 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) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(sqrt (PI)) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(atan (/ (* B 1/2) A)) |
(* B 1/2) |
(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 (-.f64 C A))) 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)) (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 (-.f64 C A) (-.f64 C A))) (*.f64 (-.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 (-.f64 C A) (-.f64 C A))) (*.f64 (-.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 (-.f64 C A) (-.f64 C A))) (*.f64 (-.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 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B 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 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 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 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 (-.f64 C A) (-.f64 C A))) (*.f64 (-.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 (-.f64 C A) (-.f64 C A))) (*.f64 (-.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))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 (*.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(-.f64 (/.f64 C B) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(-.f64 (/.f64 C B) (/.f64 (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) (/.f64 (/.f64 (*.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)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) (/.f64 (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(fma.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(/.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 (/.f64 B (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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 B (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 B (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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 (neg.f64 B) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 (neg.f64 B) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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))))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (neg.f64 B))) |
(/.f64 (neg.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (neg.f64 B)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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)))))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 (*.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) #s(literal -1 binary64)) (neg.f64 B)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (neg.f64 B)) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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) B)) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (/.f64 #s(literal 1 binary64) B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.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))))))) (neg.f64 (*.f64 B (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (neg.f64 (*.f64 B (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
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(*.f64 B #s(literal 1/2 binary64)) |
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(*.f64 #s(literal -1 binary64) (*.f64 B #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 B) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 C C (*.f64 B B))))) |
(hypot.f64 C B) |
(hypot.f64 C (exp.f64 (log.f64 B))) |
(hypot.f64 B C) |
(hypot.f64 B (exp.f64 (log.f64 C))) |
(hypot.f64 (exp.f64 (log.f64 B)) C) |
(hypot.f64 (exp.f64 (log.f64 B)) (exp.f64 (log.f64 C))) |
(hypot.f64 (exp.f64 (log.f64 C)) B) |
(hypot.f64 (exp.f64 (log.f64 C)) (exp.f64 (log.f64 B))) |
(fabs.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(sqrt.f64 (fma.f64 C C (*.f64 B B))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B)) (*.f64 B (*.f64 B (*.f64 B B)))) (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 C C) (*.f64 (*.f64 C C) (*.f64 C C))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 B C) (-.f64 B C)) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (+.f64 B C) (-.f64 B C)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 C C) (*.f64 (*.f64 C C) (*.f64 C C))))) (sqrt.f64 (fma.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B)) (*.f64 B (*.f64 B (*.f64 B B)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 C C) (*.f64 (*.f64 C C) (*.f64 C C))))) (sqrt.f64 (fma.f64 C (*.f64 C (*.f64 C C)) (-.f64 (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 B (*.f64 B (*.f64 C C))))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (+.f64 B C) (-.f64 B C)))) (sqrt.f64 (*.f64 (+.f64 B C) (-.f64 B C)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 C C) (*.f64 (*.f64 C C) (*.f64 C C)))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B)) (*.f64 B (*.f64 B (*.f64 B B))))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (+.f64 B C) (-.f64 B C))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 B C) (-.f64 B C))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 C C) (*.f64 C C)) (*.f64 B (*.f64 B (*.f64 B B))))) (sqrt.f64 (-.f64 (*.f64 C C) (*.f64 B B)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 C C) (*.f64 (*.f64 C C) (*.f64 C C)))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B)) (*.f64 B (*.f64 B (*.f64 B B))))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (+.f64 B C) (-.f64 B C))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 B C) (-.f64 B C))))) |
(pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 C C) (*.f64 (*.f64 C C) (*.f64 C C))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B)) (*.f64 B (*.f64 B (*.f64 B B))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 C C) (*.f64 (*.f64 C C) (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B)) (*.f64 B (*.f64 B (*.f64 B B))))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (+.f64 B C) (-.f64 B C)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 B C) (-.f64 B C))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (+.f64 B C) (-.f64 B C)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 B C) (-.f64 B C))))) |
(*.f64 (pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (sqrt.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(+.f64 C (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))) C) |
(-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(-.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))))) (/.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)))))) |
(-.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)))))) |
(-.f64 (/.f64 (*.f64 C C) (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (/.f64 (fma.f64 C C (*.f64 B B)) (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 C C (*.f64 B B))) C) |
(/.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 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 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) (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)))) (-.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) (neg.f64 (/.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (-.f64 (*.f64 C C) (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))))) (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))))) (fma.f64 C C (-.f64 (fma.f64 C C (*.f64 B B)) (*.f64 C (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))))))) |
(/.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(/.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 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 (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 (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (neg.f64 (fma.f64 C C (-.f64 (fma.f64 C C (*.f64 B B)) (*.f64 C (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 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))))) (*.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 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (*.f64 (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (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 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (*.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (fma.f64 C C (*.f64 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)))))) |
(/.f64 (neg.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 (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 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))))) (neg.f64 (neg.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))))) |
(/.f64 (fma.f64 (fma.f64 C C (*.f64 B B)) (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (*.f64 C (*.f64 C C))) (+.f64 (fma.f64 C C (*.f64 B B)) (-.f64 (*.f64 C C) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))) C)))) |
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (fma.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))))) (/.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))))) (fma.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))))) (/.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))))) (*.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))))) (/.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))))))))) |
(/.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 (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)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (-.f64 (*.f64 C C) (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)))))) |
| 1× | egg-herbie |
| 9 082× | accelerator-lowering-fma.f32 |
| 9 082× | accelerator-lowering-fma.f64 |
| 6 462× | *-lowering-*.f32 |
| 6 462× | *-lowering-*.f64 |
| 4 122× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 849 | 7781 |
| 1 | 2558 | 7583 |
| 2 | 7755 | 7583 |
| 0 | 8012 | 6497 |
| 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))))))))) |
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(/ (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)) |
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(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
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(/ (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)) |
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(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
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(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
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(* 180 (atan (* -1/2 (/ B C)))) |
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(* 180 (atan (* -1/2 (/ B C)))) |
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(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (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))) |
(* 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))) |
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(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
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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)) |
(/ (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) |
(* -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))) |
(* -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))) |
(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) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 (neg.f64 C) 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 (*.f64 (*.f64 (*.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))))))) (*.f64 #s(literal 1/2 binary64) C))) (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 (*.f64 B B) (/.f64 A (*.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 (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 #s(literal 1/2 binary64) (/.f64 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (*.f64 (neg.f64 C) A) (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 (-.f64 (*.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 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))))) |
(*.f64 A (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A))) 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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.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 1/2 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 #s(literal 1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(neg.f64 (fma.f64 B (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B))) B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A))) (neg.f64 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))))) |
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(* (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 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 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)))) |
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(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
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B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 A C) B) (neg.f64 B))) |
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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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(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
(* 1/2 B) |
(*.f64 B #s(literal 1/2 binary64)) |
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 B #s(literal 1/2 binary64)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 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)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 C #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* 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 -1/8 binary64) (/.f64 (pow.f64 C #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) (*.f64 B B)) (/.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 (fma.f64 (/.f64 (*.f64 C C) (*.f64 B B)) (*.f64 B #s(literal 1/2 binary64)) 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 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) (*.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)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 C #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) (*.f64 B B)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 C #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B)) |
B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) 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))))) |
(*.f64 C (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) #s(literal 1 binary64))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) (/.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 C #s(literal 4 binary64)))) C) |
(* 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 1/2 binary64) (/.f64 (*.f64 B B) (*.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))) (/.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)))))) |
(neg.f64 (*.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))))))) |
(*.f64 (neg.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)) #s(literal 1 binary64)))) |
(* -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)))))))) |
(neg.f64 (fma.f64 C (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) (*.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))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 C #s(literal 6 binary64))))) C)) |
(* -1 B) |
(neg.f64 B) |
(- C B) |
(-.f64 C B) |
(- (* C (+ 1 (* -1/2 (/ C B)))) B) |
(-.f64 (fma.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) C) B) C) B) |
(- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B) |
(-.f64 (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)) C) B) |
(* -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 B (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/8 binary64)) (*.f64 C C)))) C) |
(/ (- (* 1/2 (/ (+ (* 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 #s(literal 1/16 binary64) (/.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 C #s(literal 4 binary64))) (fma.f64 B (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/8 binary64)) (*.f64 C C))))) 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 1/2 binary64) (/.f64 (*.f64 B B) (*.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 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 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 C #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (/.f64 C B)) (fma.f64 C (*.f64 #s(literal -1/2 binary64) (/.f64 C (*.f64 B B))) #s(literal -1 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 46 270 to 5 866 computations (87.3% saved)
34 alts after pruning (27 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 719 | 12 | 1 731 |
| Fresh | 7 | 15 | 22 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 727 | 34 | 1 761 |
| Status | Accuracy | Program |
|---|---|---|
| 28.9% | (/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| ▶ | 45.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
| 29.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) | |
| ✓ | 24.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| 24.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 C (*.f64 B #s(literal -1/2 binary64)))))) (PI.f64)) | |
| 29.0% | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 28.6% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) | |
| 24.7% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))))) | |
| 28.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) | |
| 28.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) | |
| 29.0% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) | |
| 24.7% | (*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) | |
| 29.0% | (*.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)))) | |
| ▶ | 24.7% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 33.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) C) B) C) B) B)) (PI.f64))) | |
| ✓ | 45.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
| 18.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B)) (PI.f64))) | |
| 33.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 B)) B)) (PI.f64))) | |
| 36.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) | |
| 46.3% | (*.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))) | |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (*.f64 A B))) (PI.f64))) | |
| 17.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| ✓ | 21.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
| ▶ | 48.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
| 45.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) | |
| 33.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) | |
| ✓ | 74.5% | (*.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)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
| ▶ | 74.5% | (*.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)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
| ✓ | 75.5% | (*.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))) |
| 38.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) | |
| 29.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) | |
| ▶ | 20.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
| ✓ | 12.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 23.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 955 to 752 computations (21.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
| ✓ | cost-diff | 0 | (*.f64 B #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (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 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | cost-diff | 1600 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
| ✓ | cost-diff | 4928 | (hypot.f64 (-.f64 C A) B) |
| 5 376× | accelerator-lowering-fma.f32 |
| 5 376× | accelerator-lowering-fma.f64 |
| 1 434× | *-lowering-*.f32 |
| 1 434× | *-lowering-*.f64 |
| 1 092× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 319 |
| 1 | 85 | 311 |
| 2 | 176 | 311 |
| 3 | 378 | 311 |
| 4 | 844 | 311 |
| 5 | 1644 | 311 |
| 6 | 2660 | 311 |
| 7 | 3996 | 311 |
| 8 | 4878 | 311 |
| 9 | 5198 | 311 |
| 10 | 5281 | 311 |
| 11 | 5328 | 311 |
| 12 | 5373 | 311 |
| 13 | 5675 | 311 |
| 14 | 5781 | 311 |
| 15 | 5783 | 311 |
| 16 | 5783 | 311 |
| 17 | 5824 | 311 |
| 18 | 6080 | 311 |
| 19 | 6120 | 311 |
| 20 | 6124 | 311 |
| 21 | 6124 | 311 |
| 22 | 6124 | 311 |
| 0 | 6124 | 238 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (PI)) (sqrt (PI))))) |
180 |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (PI)) (sqrt (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))) |
(* (sqrt (PI)) (sqrt (PI))) |
(sqrt (PI)) |
(PI) |
(* 180 (/ (atan 1) (PI))) |
180 |
(/ (atan 1) (PI)) |
(atan 1) |
1 |
(PI) |
(* (atan (/ (* B -1/2) C)) (/ 180 (PI))) |
(atan (/ (* B -1/2) C)) |
(/ (* B -1/2) C) |
(* B -1/2) |
B |
-1/2 |
C |
(/ 180 (PI)) |
180 |
(PI) |
(* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
180 |
(/ (atan (+ (/ (- C A) B) -1)) (PI)) |
(atan (+ (/ (- C A) B) -1)) |
(+ (/ (- C A) B) -1) |
(/ (- C A) B) |
(- C A) |
C |
A |
B |
-1 |
(PI) |
(/ (* 180 (atan (/ (- C (sqrt (+ (* C C) (* B B)))) B))) (PI)) |
(* 180 (atan (/ (- C (sqrt (+ (* C C) (* B B)))) B))) |
180 |
(atan (/ (- C (sqrt (+ (* C C) (* B B)))) B)) |
(/ (- C (sqrt (+ (* C C) (* B B)))) B) |
(- C (sqrt (+ (* C C) (* B B)))) |
C |
(sqrt (+ (* C C) (* B B))) |
(+ (* C C) (* B B)) |
(* B B) |
B |
(PI) |
| Outputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (PI)) (sqrt (PI))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (PI)) (sqrt (PI)))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) 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 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) |
(* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) 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 B B (*.f64 (-.f64 C A) (-.f64 C A))))) |
(- C A) |
(-.f64 C A) |
C |
A |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) |
(* (sqrt (PI)) (sqrt (PI))) |
(PI.f64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(* 180 (/ (atan 1) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (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) |
(* (atan (/ (* B -1/2) C)) (/ 180 (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan (/ (* B -1/2) C)) |
(atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) |
(/ (* B -1/2) C) |
(*.f64 B (/.f64 #s(literal -1/2 binary64) C)) |
(* B -1/2) |
(*.f64 B #s(literal -1/2 binary64)) |
B |
-1/2 |
#s(literal -1/2 binary64) |
C |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 C A) B)))) |
180 |
#s(literal 180 binary64) |
(/ (atan (+ (/ (- C A) B) -1)) (PI)) |
(/.f64 (atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
(atan (+ (/ (- C A) B) -1)) |
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 C A) B))) |
(+ (/ (- C A) B) -1) |
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 C A) B)) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(- C A) |
(-.f64 C A) |
C |
A |
B |
-1 |
#s(literal -1 binary64) |
(PI) |
(PI.f64) |
(/ (* 180 (atan (/ (- C (sqrt (+ (* C C) (* B B)))) B))) (PI)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (* C C) (* B B)))) B))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) |
180 |
#s(literal 180 binary64) |
(atan (/ (- C (sqrt (+ (* C C) (* B B)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(/ (- C (sqrt (+ (* C C) (* B B)))) B) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
(- C (sqrt (+ (* C C) (* B B)))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt (+ (* C C) (* B B))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(+ (* C C) (* B B)) |
(fma.f64 B B (*.f64 C C)) |
(* B B) |
(*.f64 B B) |
B |
(PI) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) |
| ✓ | accuracy | 96.1% | (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B) |
| ✓ | accuracy | 87.1% | (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
| ✓ | accuracy | 60.3% | (sqrt.f64 (fma.f64 C C (*.f64 B B))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 B #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | accuracy | 99.7% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (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 | 98.4% | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 93.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 81.8% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 87.0ms | 49× | 2 | valid |
| 58.0ms | 46× | 1 | valid |
| 46.0ms | 160× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 284 to 42 computations (85.2% saved)
ival-mult: 51.0ms (37.7% of total)adjust: 31.0ms (22.9% of total)ival-div: 20.0ms (14.8% of total)ival-atan: 11.0ms (8.1% of total)ival-hypot: 8.0ms (5.9% of total)ival-sub: 6.0ms (4.4% of total)ival-sqrt: 4.0ms (3% of total)ival-add: 3.0ms (2.2% of total)ival-pi: 1.0ms (0.7% of total)exact: 1.0ms (0.7% 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 (* (sqrt (PI)) (sqrt (PI)))> |
#<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)))))) (* (sqrt (PI)) (sqrt (PI)))))> |
#<alt (* 180 (/ (atan 1) (PI)))> |
#<alt (/ (atan 1) (PI))> |
#<alt (atan 1)> |
#<alt (PI)> |
#<alt (* (atan (/ (* B -1/2) C)) (/ 180 (PI)))> |
#<alt (atan (/ (* B -1/2) C))> |
#<alt (/ (* B -1/2) C)> |
#<alt (* B -1/2)> |
#<alt (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI)))> |
#<alt (/ (atan (+ (/ (- C A) B) -1)) (PI))> |
#<alt (atan (+ (/ (- C A) B) -1))> |
#<alt (+ (/ (- C A) B) -1)> |
#<alt (/ (* 180 (atan (/ (- C (sqrt (+ (* C C) (* B B)))) B))) (PI))> |
#<alt (* 180 (atan (/ (- C (sqrt (+ (* C C) (* B B)))) B)))> |
#<alt (atan (/ (- C (sqrt (+ (* C C) (* B B)))) B))> |
#<alt (/ (- C (sqrt (+ (* C C) (* B B)))) B)> |
#<alt (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))> |
#<alt (sqrt (PI))> |
#<alt (sqrt (+ (* C C) (* B B)))> |
#<alt (- C (sqrt (+ (* C C) (* B 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 (* -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 (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* -1/2 B)> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))> |
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#<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 | |
|---|---|---|---|---|
| 1.0ms | C | @ | -inf | (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
| 1.0ms | A | @ | -inf | (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
| 1.0ms | A | @ | inf | (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
| 1.0ms | B | @ | -inf | (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
| 1.0ms | C | @ | 0 | (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
| 1× | batch-egg-rewrite |
| 4 752× | *-lowering-*.f32 |
| 4 752× | *-lowering-*.f64 |
| 4 458× | /-lowering-/.f32 |
| 4 458× | /-lowering-/.f64 |
| 3 364× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 217 |
| 1 | 226 | 213 |
| 2 | 1800 | 213 |
| 0 | 8728 | 163 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(* (sqrt (PI)) (sqrt (PI))) |
(* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (sqrt (PI)) (sqrt (PI))))) |
(* 180 (/ (atan 1) (PI))) |
(/ (atan 1) (PI)) |
(atan 1) |
(PI) |
(* (atan (/ (* B -1/2) C)) (/ 180 (PI))) |
(atan (/ (* B -1/2) C)) |
(/ (* B -1/2) C) |
(* B -1/2) |
(* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
(/ (atan (+ (/ (- C A) B) -1)) (PI)) |
(atan (+ (/ (- C A) B) -1)) |
(+ (/ (- C A) B) -1) |
(/ (* 180 (atan (/ (- C (sqrt (+ (* C C) (* B B)))) B))) (PI)) |
(* 180 (atan (/ (- C (sqrt (+ (* C C) (* B B)))) B))) |
(atan (/ (- C (sqrt (+ (* C C) (* B B)))) B)) |
(/ (- C (sqrt (+ (* C C) (* B B)))) B) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(sqrt (PI)) |
(sqrt (+ (* C C) (* B B))) |
(- C (sqrt (+ (* C C) (* B 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 (-.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 (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 (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 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) (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 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 C A)) (*.f64 (-.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 C A)) (*.f64 (-.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 C A)) (*.f64 (-.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 C A)) (*.f64 (-.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 C A)) (*.f64 (-.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)))))))) |
(*.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))))) |
(PI.f64) |
(log.f64 (exp.f64 (PI.f64))) |
(exp.f64 (log.f64 (PI.f64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64))) |
(fabs.f64 (PI.f64)) |
(fabs.f64 (neg.f64 (PI.f64))) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) |
(pow.f64 (E.f64) (log.f64 (PI.f64))) |
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) |
(*.f64 (PI.f64) #s(literal 1 binary64)) |
(*.f64 (PI.f64) (log.f64 (E.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 1 binary64) (PI.f64)) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(+.f64 (/.f64 (-.f64 C A) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 (/.f64 (-.f64 C A) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) B)) |
(-.f64 (/.f64 C B) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(-.f64 (/.f64 C B) (/.f64 (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) (/.f64 (/.f64 (*.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)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) (/.f64 (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(fma.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C A)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C A)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
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(+.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) C) |
(-.f64 C (sqrt.f64 (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 (*.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 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (/.f64 (fma.f64 B B (*.f64 C C)) (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) |
(/.f64 #s(literal 1 binary64) (/.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 (*.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) (/.f64 (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (*.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 (/.f64 (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 (*.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))))) (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))))) (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 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(/.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (-.f64 C (neg.f64 (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)))))) (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 (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (neg.f64 (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 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) |
(/.f64 (-.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 (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (*.f64 (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 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (fma.f64 B B (*.f64 C C)))) (*.f64 (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (neg.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))))))) (neg.f64 (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 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) (neg.f64 (neg.f64 (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) |
(/.f64 (fma.f64 (fma.f64 B B (*.f64 C C)) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (*.f64 C (*.f64 C C))) (+.f64 (fma.f64 B B (*.f64 C C)) (-.f64 (*.f64 C C) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) C)))) |
(pow.f64 (/.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 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 (*.f64 C C) (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 C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
| 1× | egg-herbie |
| 9 266× | accelerator-lowering-fma.f32 |
| 9 266× | accelerator-lowering-fma.f64 |
| 6 632× | *-lowering-*.f32 |
| 6 632× | *-lowering-*.f64 |
| 4 250× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 884 | 8002 |
| 1 | 2665 | 7568 |
| 0 | 8031 | 6659 |
| 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))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* -1/2 B) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) |
(atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) |
(atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) |
(atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(* -1 (+ 1 (/ A B))) |
(- (/ C B) (+ 1 (/ A B))) |
(- (/ C B) (+ 1 (/ A B))) |
(- (/ C B) (+ 1 (/ A B))) |
(/ C B) |
(* C (+ (* -1 (/ (+ 1 (/ A B)) C)) (/ 1 B))) |
(* C (+ (* -1 (/ (+ 1 (/ A B)) C)) (/ 1 B))) |
(* C (+ (* -1 (/ (+ 1 (/ A B)) C)) (/ 1 B))) |
(/ C B) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) 1) C)) (/ 1 B)))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) 1) C)) (/ 1 B)))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) 1) C)) (/ 1 B)))) |
(- (/ C B) 1) |
(- (+ (* -1 (/ A B)) (/ C B)) 1) |
(- (+ (* -1 (/ A B)) (/ C B)) 1) |
(- (+ (* -1 (/ A B)) (/ C B)) 1) |
(* -1 (/ A B)) |
(* A (- (/ C (* A B)) (+ (/ 1 A) (/ 1 B)))) |
(* A (- (/ C (* A B)) (+ (/ 1 A) (/ 1 B)))) |
(* A (- (/ C (* A B)) (+ (/ 1 A) (/ 1 B)))) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ (- (/ C B) 1) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (- (/ C B) 1) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (- (/ C B) 1) A)) (/ 1 B)))) |
(/ (- C A) B) |
(/ (- (+ C (* -1 B)) A) B) |
(/ (- (+ C (* -1 B)) A) B) |
(/ (- (+ C (* -1 B)) A) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (/ C B) (+ 1 (/ A B))) |
(- (/ C B) (+ 1 (/ A B))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (/ C B) (+ 1 (/ A B))) |
(- (/ C B) (+ 1 (/ A 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))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B)))) |
(* 180 (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B)))) |
(* 180 (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B)))) |
(* 180 (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B)))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))) |
(* 180 (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))) |
(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) |
(* -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))) |
(* -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))) |
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)))))))) |
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)))))))) |
(* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 (neg.f64 C) 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 A C) (*.f64 (-.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 (neg.f64 A) 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 B (/.f64 B (*.f64 C C)) (/.f64 (*.f64 A (*.f64 B B)) (*.f64 C (*.f64 C C)))) (/.f64 (neg.f64 A) C)) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 C (/.f64 (neg.f64 A) 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 (neg.f64 (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) 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 (*.f64 (*.f64 A C) (*.f64 (-.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)))))))) (*.f64 #s(literal 1/2 binary64) A))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
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)))))) |
(fma.f64 A (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 A A)) (/.f64 C 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 (-.f64 (*.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 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 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) |
(fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.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 #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 (/.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)) |
(* -1/2 (/ 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 #s(literal -1 binary64) (/.f64 (-.f64 C A) B)) |
(- (+ (* -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 #s(literal -1 binary64) (/.f64 (-.f64 C 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))) |
(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 #s(literal -1 binary64) (/.f64 (-.f64 C A) B)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (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)) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 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))))))))) |
(-.f64 (*.f64 C (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) B)) (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 (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(-.f64 (*.f64 C (fma.f64 A (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) B) (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) B) (*.f64 (*.f64 (*.f64 A C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))) (/.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)))))) B))) (/.f64 #s(literal 1 binary64) B)))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(/.f64 #s(literal 0 binary64) B) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) C) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -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))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 A (*.f64 A (*.f64 B B)))) (*.f64 B (*.f64 C (*.f64 C C)))) (/.f64 #s(literal 0 binary64) B))) |
(* 2 (/ C B)) |
(/.f64 (*.f64 #s(literal 2 binary64) C) B) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(neg.f64 (*.f64 C (fma.f64 A (/.f64 #s(literal 2 binary64) (*.f64 B C)) (/.f64 #s(literal -2 binary64) B)))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 B C) (*.f64 A (/.f64 #s(literal -2 binary64) B))) (neg.f64 C)) (/.f64 #s(literal -2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
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(neg.f64 (fma.f64 B (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 C A)) (neg.f64 B)) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 (-.f64 C (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 B B)) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A))) B)) A) (neg.f64 B)) (neg.f64 B))) |
B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) 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 C (/.f64 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))))) |
(*.f64 C (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) #s(literal 1 binary64))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (pow.f64 C #s(literal 4 binary64)))) C) |
(* 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 1/2 binary64) (/.f64 (*.f64 B B) (*.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))) (/.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)))))) |
(neg.f64 (*.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))))))) |
(neg.f64 (fma.f64 C (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (pow.f64 C #s(literal 4 binary64)))) C)) |
(* -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)))))))) |
(neg.f64 (fma.f64 C (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) (*.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))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 C #s(literal 6 binary64))))) C)) |
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)))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 C #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* 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 -1/8 binary64) (/.f64 (pow.f64 C #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) (*.f64 B B)) (/.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)))))) |
(*.f64 B (neg.f64 (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))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) (*.f64 B 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 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 C #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) (*.f64 B B)) (/.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) |
(- C B) |
(-.f64 C B) |
(- (* C (+ 1 (* -1/2 (/ C B)))) B) |
(-.f64 (fma.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) C) B) C) B) |
(- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B) |
(-.f64 (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)) C) B) |
(* -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 #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) |
(/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/.f64 (+.f64 (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))) (*.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 #s(literal -1/8 binary64) (/.f64 (pow.f64 B #s(literal 4 binary64)) (*.f64 C C)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 C #s(literal 4 binary64))) (*.f64 (*.f64 B B) #s(literal 1/2 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 (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)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (*.f64 C C)))) |
(* -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 (pow.f64 B #s(literal 6 binary64)) #s(literal -1/16 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 (*.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 (*.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 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 C #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (/.f64 C B)) (fma.f64 (/.f64 C (*.f64 B B)) (*.f64 #s(literal -1/2 binary64) C) #s(literal -1 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 #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)) (neg.f64 B)) (neg.f64 B))) |
Compiled 41 236 to 5 481 computations (86.7% saved)
38 alts after pruning (29 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 616 | 12 | 1 628 |
| Fresh | 5 | 17 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 1 624 | 38 | 1 662 |
| Status | Accuracy | Program |
|---|---|---|
| 47.7% | (/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) | |
| 28.9% | (/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| 33.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (fma.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) C) B) C) B) B))) (PI.f64)) | |
| 18.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B))) (PI.f64)) | |
| 29.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) | |
| ✓ | 24.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| 24.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 C (*.f64 B #s(literal -1/2 binary64)))))) (PI.f64)) | |
| 48.4% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) | |
| 33.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) | |
| 36.4% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 C B)))) (PI.f64)) | |
| 29.0% | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 28.6% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) | |
| 24.7% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))))) | |
| 28.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) | |
| 28.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) | |
| 29.0% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) | |
| 24.7% | (*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) | |
| ✓ | 24.7% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | 45.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
| 18.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B)) (PI.f64))) | |
| 33.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 B)) B)) (PI.f64))) | |
| 46.3% | (*.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))) | |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (*.f64 A B))) (PI.f64))) | |
| 17.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) | |
| 21.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) | |
| 29.9% | (*.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))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| 38.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) | |
| 45.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| 45.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) | |
| ✓ | 74.5% | (*.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)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
| ✓ | 74.5% | (*.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)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
| ✓ | 75.5% | (*.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))) |
| 38.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| 38.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) | |
| 29.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) | |
| ✓ | 20.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
| ✓ | 12.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 23.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 1 453 to 764 computations (47.4% 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 C B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 C (/.f64 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 B)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) |
(/.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 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) 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 (-.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 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))))) |
(*.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 (PI.f64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (*.f64 A B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 C #s(literal -2 binary64)) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 C (*.f64 B #s(literal -1/2 binary64)))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) C) B) C) B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (fma.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) C) B) C) B) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B 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 #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 #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 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (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 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.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 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.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 (-.f64 C A) B)) (-.f64 A C)) B))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C)) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal -1/8 binary64))) (*.f64 B A))) A)) (neg.f64 A))) (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 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (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)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (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 #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 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (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))) |
7 calls:
| 34.0ms | C |
| 29.0ms | (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))))))) |
| 28.0ms | (/.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)) |
| 26.0ms | A |
| 17.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 2 | A |
| 75.5% | 1 | B |
| 81.3% | 2 | C |
| 89.1% | 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))) |
| 89.1% | 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)) |
| 89.1% | 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))))))) |
| 89.1% | 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 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 C B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 C (/.f64 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 B)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) |
(/.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 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) 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 (-.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 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))))) |
(*.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 (PI.f64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (*.f64 A B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 C #s(literal -2 binary64)) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 C (*.f64 B #s(literal -1/2 binary64)))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) C) B) C) B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (fma.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) C) B) C) B) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B 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 #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 #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 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (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 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.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 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.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 (-.f64 C A) B)) (-.f64 A C)) B))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C)) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal -1/8 binary64))) (*.f64 B A))) A)) (neg.f64 A))) (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
6 calls:
| 23.0ms | A |
| 20.0ms | (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))))))) |
| 15.0ms | C |
| 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)))))) |
| 12.0ms | (*.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 |
|---|---|---|
| 67.3% | 2 | C |
| 71.0% | 2 | A |
| 81.3% | 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))) |
| 81.3% | 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)) |
| 81.3% | 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))))))) |
| 81.3% | 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 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 C B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 C (/.f64 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 B)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) |
(/.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 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) 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 (-.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 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(/.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
5 calls:
| 43.0ms | B |
| 26.0ms | (*.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)))))) |
| 7.0ms | (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))))))) |
| 7.0ms | (*.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))) |
| 7.0ms | (/.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 |
|---|---|---|
| 68.0% | 3 | B |
| 74.6% | 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))) |
| 74.6% | 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)) |
| 74.6% | 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))))))) |
| 74.6% | 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 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 C B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 C (/.f64 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 B)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) |
(/.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 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) 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 (-.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 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
4 calls:
| 26.0ms | (/.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)) |
| 7.0ms | (*.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)))))) |
| 7.0ms | (*.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 | (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 |
|---|---|---|
| 74.6% | 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))) |
| 74.6% | 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)) |
| 74.6% | 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))))))) |
| 74.6% | 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 C B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 C (/.f64 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 B)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) |
(/.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 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B))) (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 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
5 calls:
| 17.0ms | (/.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)) |
| 7.0ms | A |
| 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))))))) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 4 | A |
| 69.1% | 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))) |
| 69.1% | 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)) |
| 69.1% | 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))))))) |
| 69.1% | 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 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 C B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 C (/.f64 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 B)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) |
(/.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 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (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 B) 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 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) |
7 calls:
| 20.0ms | (*.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))) |
| 13.0ms | A |
| 7.0ms | C |
| 7.0ms | B |
| 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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 4 | A |
| 61.4% | 4 | B |
| 61.5% | 4 | C |
| 63.8% | 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))) |
| 63.8% | 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)) |
| 63.8% | 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))))))) |
| 63.8% | 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 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 C B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 C (/.f64 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 B)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (neg.f64 C)) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 180 binary64)) |
| 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 (-.f64 C B) 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 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) |
1 calls:
| 6.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 4 | 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 C B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 C (/.f64 #s(literal 2 binary64) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) |
(*.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 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) |
1 calls:
| 5.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 4 | 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 C B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) |
7 calls:
| 27.0ms | A |
| 22.0ms | C |
| 4.0ms | 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 #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 |
|---|---|---|
| 57.0% | 2 | B |
| 50.2% | 3 | C |
| 56.8% | 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))) |
| 56.8% | 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)) |
| 56.8% | 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))))))) |
| 56.8% | 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)))))) |
| 56.1% | 4 | A |
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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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 #s(literal -1 binary64) (/.f64 A 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 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 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) |
1 calls:
| 4.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 2 | 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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 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))) |
6 calls:
| 3.0ms | (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))))))) |
| 3.0ms | B |
| 3.0ms | A |
| 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)))))) |
| 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 |
|---|---|---|
| 48.6% | 3 | A |
| 48.9% | 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))) |
| 48.9% | 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)) |
| 48.9% | 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))))))) |
| 48.9% | 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)))))) |
| 50.9% | 2 | B |
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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (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 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
1 calls:
| 2.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 4 | 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))) |
| 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))) |
7 calls:
| 37.0ms | (*.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)))))) |
| 2.0ms | A |
| 2.0ms | B |
| 2.0ms | C |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.3% | 4 | A |
| 44.4% | 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))) |
| 44.4% | 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)) |
| 44.4% | 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))))))) |
| 44.4% | 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)))))) |
| 26.8% | 2 | C |
| 47.9% | 3 | B |
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))) |
| 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))) |
5 calls:
| 38.0ms | (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 | B |
| 1.0ms | (/.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)) |
| 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 | (*.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 |
|---|---|---|
| 30.4% | 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))) |
| 30.4% | 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)) |
| 30.4% | 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))))))) |
| 30.4% | 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)))))) |
| 31.4% | 2 | B |
Compiled 97 to 68 computations (29.9% 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 | A |
| 1.0ms | B |
| 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 (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 |
|---|---|---|
| 23.4% | 1 | C |
| 23.4% | 1 | A |
| 23.4% | 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))) |
| 23.4% | 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)) |
| 23.4% | 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))))))) |
| 23.4% | 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)))))) |
| 23.4% | 1 | B |
Compiled 105 to 74 computations (29.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.9999999999999999 |
| 0.0ms | -0.4082363092306311 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.9999999999999999 |
| 0.0ms | -0.998148448326151 | -0.4082363092306311 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.9999999999999999 |
| 0.0ms | -0.998148448326151 | -0.4082363092306311 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.9999999999999999 |
| 0.0ms | -0.998148448326151 | -0.4082363092306311 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.9999999999999999 |
| 0.0ms | -0.998148448326151 | -0.4082363092306311 |
Compiled 29 to 25 computations (13.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 8162.05800643544 | 5057306699.862711 |
| 35.0ms | -2.523659378392396e-271 | -3.2697393524560987e-279 |
| 40.0ms | -2.3287453552053963e-101 | -1.28248752295467e-105 |
| 49.0ms | 44× | 2 | valid |
| 34.0ms | 318× | 0 | valid |
| 11.0ms | 49× | 1 | valid |
| 2.0ms | 5× | 3 | valid |
Compiled 757 to 631 computations (16.6% saved)
ival-sqrt: 26.0ms (31.1% of total)ival-div: 21.0ms (25.1% of total)ival-pow2: 9.0ms (10.8% of total)ival-sub: 7.0ms (8.4% of total)ival-mult: 6.0ms (7.2% of total)adjust: 5.0ms (6% of total)ival-atan: 4.0ms (4.8% of total)ival-add: 2.0ms (2.4% of total)ival-pi: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 66.0ms | 8162.05800643544 | 5057306699.862711 |
| 22.0ms | -2.523659378392396e-271 | -3.2697393524560987e-279 |
| 46.0ms | -2.3287453552053963e-101 | -1.28248752295467e-105 |
| 93.0ms | 268× | 0 | valid |
| 18.0ms | 50× | 1 | valid |
| 11.0ms | 34× | 2 | valid |
Compiled 645 to 539 computations (16.4% saved)
ival-pow2: 31.0ms (43.8% of total)ival-sub: 13.0ms (18.4% of total)ival-div: 6.0ms (8.5% of total)ival-mult: 5.0ms (7.1% of total)ival-sqrt: 4.0ms (5.7% of total)ival-atan: 4.0ms (5.7% of total)adjust: 3.0ms (4.2% of total)ival-add: 2.0ms (2.8% of total)ival-pi: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 8162.05800643544 | 5057306699.862711 |
| 3.0ms | -2.523659378392396e-271 | -3.2697393524560987e-279 |
| 80.0ms | -2.3287453552053963e-101 | -1.28248752295467e-105 |
| 50.0ms | 223× | 0 | valid |
| 37.0ms | 37× | 1 | valid |
| 35.0ms | 27× | 2 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 533 to 447 computations (16.1% saved)
ival-sub: 57.0ms (50.4% of total)ival-sqrt: 31.0ms (27.4% of total)ival-pow2: 7.0ms (6.2% of total)ival-div: 5.0ms (4.4% of total)ival-mult: 4.0ms (3.5% of total)adjust: 3.0ms (2.7% of total)ival-atan: 3.0ms (2.7% of total)ival-add: 2.0ms (1.8% of total)ival-pi: 1.0ms (0.9% 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 |
|---|---|---|
| 61.0ms | 8.238834403576987e-147 | 1.3583034891004654e-139 |
| 29.0ms | 11× | 1 | valid |
| 18.0ms | 57× | 2 | valid |
| 8.0ms | 74× | 0 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 281 to 240 computations (14.6% saved)
ival-sqrt: 29.0ms (57.6% of total)ival-sub: 4.0ms (7.9% of total)adjust: 4.0ms (7.9% of total)ival-pow2: 4.0ms (7.9% of total)ival-div: 3.0ms (6% of total)ival-mult: 3.0ms (6% of total)ival-atan: 2.0ms (4% of total)ival-add: 1.0ms (2% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 8.238834403576987e-147 | 1.3583034891004654e-139 |
| 25.0ms | 54× | 2 | valid |
| 9.0ms | 79× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 281 to 240 computations (14.6% saved)
ival-mult: 11.0ms (35.7% of total)ival-pow2: 4.0ms (13% of total)ival-sub: 3.0ms (9.7% of total)ival-div: 3.0ms (9.7% of total)adjust: 3.0ms (9.7% of total)ival-sqrt: 2.0ms (6.5% of total)ival-atan: 2.0ms (6.5% of total)ival-add: 1.0ms (3.2% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 8.238834403576987e-147 | 1.3583034891004654e-139 |
| 19.0ms | 59× | 2 | valid |
| 12.0ms | 77× | 0 | valid |
| 2.0ms | 8× | 1 | valid |
Compiled 245 to 222 computations (9.4% saved)
ival-pow2: 8.0ms (28.9% of total)ival-sub: 4.0ms (14.5% of total)ival-div: 3.0ms (10.8% of total)adjust: 3.0ms (10.8% of total)ival-mult: 3.0ms (10.8% of total)ival-sqrt: 2.0ms (7.2% of total)ival-pi: 1.0ms (3.6% of total)ival-add: 1.0ms (3.6% of total)ival-atan: 1.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 8.238834403576987e-147 | 1.3583034891004654e-139 |
| 19.0ms | -6.284191237745117e-257 | -1.683801812977713e-257 |
| 29.0ms | -1.3757917067225744e-71 | -8.68656787697601e-73 |
| 49.0ms | 120× | 2 | valid |
| 19.0ms | 175× | 0 | valid |
| 5.0ms | 22× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 457 to 424 computations (7.2% saved)
ival-pow2: 17.0ms (27.2% of total)adjust: 10.0ms (16% of total)ival-sub: 8.0ms (12.8% of total)ival-div: 7.0ms (11.2% of total)ival-mult: 7.0ms (11.2% of total)ival-sqrt: 5.0ms (8% of total)ival-add: 3.0ms (4.8% of total)ival-atan: 3.0ms (4.8% of total)ival-pi: 1.0ms (1.6% 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 | 1.3583034891004654e-139 | 3.791363649065562e-135 |
| 30.0ms | -1.3757917067225744e-71 | -8.68656787697601e-73 |
| 35.0ms | 84× | 2 | valid |
| 20.0ms | 123× | 0 | valid |
| 4.0ms | 16× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 309 to 304 computations (1.6% saved)
ival-pow2: 7.0ms (19.8% of total)ival-sub: 5.0ms (14.1% of total)ival-div: 5.0ms (14.1% of total)adjust: 5.0ms (14.1% of total)ival-mult: 5.0ms (14.1% of total)ival-sqrt: 3.0ms (8.5% of total)ival-add: 2.0ms (5.7% of total)ival-atan: 2.0ms (5.7% of total)ival-pi: 1.0ms (2.8% 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 | 1.3583034891004654e-139 | 3.791363649065562e-135 |
| 17.0ms | 45× | 2 | valid |
| 8.0ms | 74× | 0 | valid |
| 2.0ms | 9× | 1 | valid |
Compiled 189 to 184 computations (2.6% saved)
ival-pow2: 5.0ms (22.5% of total)ival-sub: 4.0ms (18% of total)ival-div: 3.0ms (13.5% of total)adjust: 3.0ms (13.5% of total)ival-mult: 3.0ms (13.5% of total)ival-sqrt: 2.0ms (9% of total)ival-add: 1.0ms (4.5% of total)ival-atan: 1.0ms (4.5% 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)| 1× | egg-herbie |
| 54× | *-commutative_binary64 |
| 32× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 687 |
| 1 | 190 | 687 |
| 2 | 210 | 687 |
| 3 | 222 | 687 |
| 4 | 228 | 687 |
| 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 -3602879701896397/9007199254740992 binary64)) (*.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))) (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 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (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))))) |
(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) #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 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (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 (*.f64 #s(literal 180 binary64) (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 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 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 (-.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 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 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 #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 0 binary64)) (/.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.f64 A #s(literal -906246142517073/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) (if (<=.f64 A #s(literal -2714342820967219/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (if (<=.f64 A #s(literal 10000 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 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))))) |
(if (<=.f64 A #s(literal -6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 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 -7796251209119999/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (if (<=.f64 A #s(literal 48000 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 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))))) |
(if (<=.f64 A #s(literal -906246142517073/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) (if (<=.f64 A #s(literal -7613526571406249/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (if (<=.f64 A #s(literal 25000 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 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))))) |
(if (<=.f64 B #s(literal 7732508084371119/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))) |
(if (<=.f64 B #s(literal 5483051187099521/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 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 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))) |
(if (<=.f64 B #s(literal 3754186220383927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768 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 -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal -8385090798185279/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 56291340813071/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (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 -4058157609103859/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 6939588088739821/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 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 7709489559716993/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 -3602879701896397/9007199254740992 binary64)) (*.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))) (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 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (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))))) |
(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) #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 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (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 (*.f64 #s(literal 180 binary64) (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 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 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 (-.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 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 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 #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 0 binary64)) (/.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.f64 A #s(literal -906246142517073/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) (if (<=.f64 A #s(literal -2714342820967219/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (if (<=.f64 A #s(literal 10000 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 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))))) |
(if (<=.f64 A #s(literal -6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 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 -7796251209119999/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (if (<=.f64 A #s(literal 48000 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 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))))) |
(if (<=.f64 A #s(literal -906246142517073/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (PI.f64))) (if (<=.f64 A #s(literal -7613526571406249/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (if (<=.f64 A #s(literal 25000 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 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))))) |
(if (<=.f64 B #s(literal 7732508084371119/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))) |
(if (<=.f64 B #s(literal 5483051187099521/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 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 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64)))) |
(if (<=.f64 B #s(literal 3754186220383927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768 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 -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal -8385090798185279/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 56291340813071/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (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 -4058157609103859/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 6939588088739821/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 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 7709489559716993/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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))) |
| 9 266× | accelerator-lowering-fma.f32 |
| 9 266× | accelerator-lowering-fma.f64 |
| 9 082× | accelerator-lowering-fma.f32 |
| 9 082× | accelerator-lowering-fma.f64 |
| 8 978× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 849 | 7781 |
| 1 | 2558 | 7583 |
| 2 | 7755 | 7583 |
| 0 | 8012 | 6497 |
| 0 | 42 | 217 |
| 1 | 226 | 213 |
| 2 | 1800 | 213 |
| 0 | 8728 | 163 |
| 0 | 653 | 4303 |
| 1 | 2037 | 4108 |
| 2 | 6286 | 4068 |
| 0 | 8196 | 3537 |
| 0 | 606 | 6637 |
| 1 | 1856 | 6400 |
| 2 | 5728 | 6258 |
| 0 | 8299 | 5609 |
| 0 | 19 | 82 |
| 1 | 125 | 78 |
| 2 | 1016 | 78 |
| 0 | 8530 | 56 |
| 0 | 47 | 248 |
| 1 | 229 | 228 |
| 2 | 1683 | 228 |
| 0 | 8193 | 173 |
| 0 | 42 | 217 |
| 1 | 207 | 203 |
| 2 | 1609 | 187 |
| 0 | 8481 | 162 |
| 0 | 884 | 8002 |
| 1 | 2665 | 7568 |
| 0 | 8031 | 6659 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 657 to 917 computations (44.7% saved)
Compiled 1 466 to 334 computations (77.2% saved)
Loading profile data...