
Time bar (total: 12.5s)
| 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)
| 723.0ms | 5 491× | 0 | valid |
| 631.0ms | 1 628× | 2 | valid |
| 294.0ms | 1 094× | 1 | valid |
| 21.0ms | 43× | 3 | valid |
ival-pow2: 243.0ms (18.5% of total)ival-div: 192.0ms (14.6% of total)ival-mult: 190.0ms (14.4% of total)ival-sub: 183.0ms (13.9% of total)adjust: 162.0ms (12.3% of total)ival-sqrt: 140.0ms (10.6% of total)ival-atan: 94.0ms (7.1% of total)ival-add: 64.0ms (4.9% of total)ival-pi: 30.0ms (2.3% of total)exact: 9.0ms (0.7% of total)ival-true: 6.0ms (0.5% 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 |
|---|---|---|---|---|---|
| 165 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 42 | 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))))) |
| 21 | 0 | - | 1 | (-1.0076405897325194e+55 -1.706494262102021e-129 1.0401228486449092e-129) | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 1 | 0 | - | 1 | (-7.534307253686225e-209 1.9655440726694807e-119 1.1568315748129277e+197) | (*.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 | 164 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 69 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 123 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 164 | |
-.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 | 42 | 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 |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | uflow-rescue | 1 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | underflow | 71 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | underflow | 12 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | underflow | 1 | |
*.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*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 145 | 0 |
| - | 49 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 145 | 0 | 0 |
| - | 49 | 0 | 62 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 161 |
| 2 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 328× | 0 | valid |
| 54.0ms | 118× | 2 | valid |
| 24.0ms | 64× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 332 to 80 computations (75.9% saved)
adjust: 16.0ms (17.3% of total)ival-div: 16.0ms (17.3% of total)ival-pow2: 15.0ms (16.2% of total)ival-sub: 13.0ms (14.1% of total)ival-mult: 11.0ms (11.9% of total)ival-sqrt: 7.0ms (7.6% of total)ival-atan: 7.0ms (7.6% of total)ival-add: 4.0ms (4.3% of total)ival-pi: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-true: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.2% | (*.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))) |
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 (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 | 92.6% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| ✓ | accuracy | 84.9% | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| ✓ | accuracy | 40.2% | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 24.0ms | 59× | 2 | valid |
| 22.0ms | 164× | 0 | valid |
| 11.0ms | 32× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 140 to 21 computations (85% saved)
ival-div: 8.0ms (20.1% of total)ival-pow2: 7.0ms (17.6% of total)ival-sub: 6.0ms (15% of total)ival-mult: 5.0ms (12.5% of total)adjust: 4.0ms (10% of total)ival-sqrt: 3.0ms (7.5% of total)ival-atan: 3.0ms (7.5% of total)ival-add: 2.0ms (5% of total)ival-pi: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow B 2)> |
#<alt (pow (- A C) 2)> |
#<alt (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))> |
#<alt (+ (pow (- A C) 2) (pow B 2))> |
#<alt (sqrt (+ (pow (- A C) 2) (pow B 2)))> |
#<alt (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))> |
#<alt (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))> |
| Outputs |
|---|
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow C 2)> |
#<alt (+ (* -2 (* A C)) (pow C 2))> |
#<alt (+ (* A (+ A (* -2 C))) (pow C 2))> |
#<alt (+ (* A (+ A (* -2 C))) (pow C 2))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2)))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2)))))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A))))> |
#<alt (pow A 2)> |
#<alt (+ (* -2 (* A C)) (pow A 2))> |
#<alt (+ (* C (+ C (* -2 A))) (pow A 2))> |
#<alt (+ (* C (+ C (* -2 A))) (pow A 2))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2)))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2)))))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C))))> |
#<alt (/ (- (* 2 C) (* 2 A)) B)> |
#<alt (/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B)> |
#<alt (/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B)> |
#<alt (/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B)> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B)))> |
#<alt 1> |
#<alt (- (+ 1 (/ C B)) (/ A B))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B)))> |
#<alt (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (* -1 (/ (+ A (* -1 A)) B))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C)))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3)))))))> |
#<alt (* 2 (/ C B))> |
#<alt (* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B)))))> |
#<alt (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)> |
#<alt (- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (* -2 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A))> |
#<alt (+ (pow B 2) (pow C 2))> |
#<alt (+ (* -2 (* A C)) (+ (pow B 2) (pow C 2)))> |
#<alt (+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2)))> |
#<alt (+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2)))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2))))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2))))))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A))))> |
#<alt (+ (pow A 2) (pow B 2))> |
#<alt (+ (* -2 (* A C)) (+ (pow A 2) (pow B 2)))> |
#<alt (+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2)))> |
#<alt (+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2)))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2))))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2))))))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C))))> |
#<alt (pow (- A C) 2)> |
#<alt (+ (pow B 2) (pow (- A C) 2))> |
#<alt (+ (pow B 2) (pow (- A C) 2))> |
#<alt (+ (pow B 2) (pow (- A C) 2))> |
#<alt (pow B 2)> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (pow B 2)> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (sqrt (+ (pow B 2) (pow C 2)))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))))))))> |
#<alt A> |
#<alt (* A (+ 1 (* -1 (/ C A))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* -1 A)> |
#<alt (* -1 (* A (+ 1 (* -1 (/ C A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A)))))> |
#<alt (sqrt (+ (pow A 2) (pow B 2)))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))))))))> |
#<alt C> |
#<alt (* C (+ 1 (* -1 (/ A C))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C)))))> |
#<alt (- A C)> |
#<alt (- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C)> |
#<alt (- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C)> |
#<alt (- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))))> |
#<alt (* -1 (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (* -1 (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
#<alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C))))))> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* 2 (/ A C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2)))> |
#<alt (- C (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (* -2 A)> |
#<alt (* A (- (/ C A) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* 1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (- (* 2 C) (* 2 A))> |
#<alt (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1)))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | A | @ | -inf | (+ (pow (- A C) 2) (pow B 2)) |
| 1.0ms | A | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | B | @ | 0 | (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) |
| 1.0ms | C | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | B | @ | inf | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1× | batch-egg-rewrite |
| 5 346× | accelerator-lowering-fma.f32 |
| 5 346× | accelerator-lowering-fma.f64 |
| 4 142× | *-lowering-*.f32 |
| 4 142× | *-lowering-*.f64 |
| 3 234× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 80 |
| 1 | 120 | 76 |
| 2 | 983 | 76 |
| 0 | 8632 | 54 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow B 2) |
(pow (- A C) 2) |
(* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
(+ (pow (- A C) 2) (pow B 2)) |
(sqrt (+ (pow (- A C) 2) (pow B 2))) |
(- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 B))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 B)) #s(literal 1 binary64))) |
(/.f64 B (/.f64 #s(literal 1 binary64) B)) |
(pow.f64 B #s(literal 2 binary64)) |
(pow.f64 (*.f64 B B) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 B)) |
(*.f64 B B) |
(*.f64 (*.f64 B B) #s(literal 1 binary64)) |
(+.f64 (*.f64 C (-.f64 C A)) (*.f64 A (-.f64 A C))) |
(+.f64 (*.f64 A (-.f64 A C)) (*.f64 C (-.f64 C A))) |
(+.f64 (*.f64 (-.f64 C A) C) (neg.f64 (*.f64 (-.f64 C A) A))) |
(+.f64 (neg.f64 (*.f64 (-.f64 C A) A)) (*.f64 (-.f64 C A) C)) |
(+.f64 (*.f64 (-.f64 A C) A) (neg.f64 (*.f64 (-.f64 A C) C))) |
(+.f64 (neg.f64 (*.f64 (-.f64 A C) C)) (*.f64 (-.f64 A C) A)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 C A)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C))) #s(literal 1 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)) (-.f64 A C)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C 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 (+.f64 A C) (*.f64 C C)) (+.f64 A C)) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 A C)) (*.f64 (-.f64 A C) (+.f64 A C))))) |
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(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)))) |
(neg.f64 (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))))) |
(/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (neg.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)))) |
(*.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (neg.f64 (cbrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 8 978× | accelerator-lowering-fma.f32 |
| 8 978× | accelerator-lowering-fma.f64 |
| 5 826× | *-lowering-*.f32 |
| 5 826× | *-lowering-*.f64 |
| 3 320× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 649 | 4231 |
| 1 | 2024 | 4036 |
| 2 | 6265 | 3996 |
| 0 | 8175 | 3465 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow C 2) |
(+ (* -2 (* A C)) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(pow A 2) |
(+ (* -2 (* A C)) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(+ (pow B 2) (pow C 2)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(+ (pow A 2) (pow B 2)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(- A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(- (* 2 C) (* 2 A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
| Outputs |
|---|
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow C 2) |
(*.f64 C C) |
(+ (* -2 (* A C)) (pow C 2)) |
(*.f64 C (fma.f64 #s(literal -2 binary64) A C)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A A)) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A A)) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64)))) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C (/.f64 C (neg.f64 A)) (*.f64 #s(literal 2 binary64) C)) A))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C (/.f64 C (neg.f64 A)) (*.f64 #s(literal 2 binary64) C)) A))) |
(pow A 2) |
(*.f64 A A) |
(+ (* -2 (* A C)) (pow A 2)) |
(*.f64 A (fma.f64 C #s(literal -2 binary64) A)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 (*.f64 C C) (fma.f64 A (/.f64 A (*.f64 C C)) (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 (*.f64 C C) (fma.f64 A (/.f64 A (*.f64 C C)) (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A (/.f64 A (neg.f64 C)) (*.f64 #s(literal 2 binary64) A)) C))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A (/.f64 A (neg.f64 C)) (*.f64 #s(literal 2 binary64) A)) C))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 C A) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) B) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
(+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(- (+ (* -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 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B))))) (/.f64 C B)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B 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))))))))) |
(fma.f64 C (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 A (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B))))) (/.f64 C 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B)))))) 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 (* -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 (*.f64 #s(literal 2 binary64) C) B) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(neg.f64 (*.f64 C (fma.f64 #s(literal 2 binary64) (/.f64 A (*.f64 B C)) (/.f64 #s(literal -2 binary64) B)))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(*.f64 C (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 A B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) C)) 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 -2 binary64) (/.f64 A B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 A C) B)) C)) 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))))) |
(fma.f64 A (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) A) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))) B) (/.f64 (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) B)) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
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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))))) |
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(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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(* 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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(+ (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)))))) |
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(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
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(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)))) |
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(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
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(+ (pow A 2) (pow B 2)) |
(fma.f64 A A (*.f64 B B)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(fma.f64 A (fma.f64 C #s(literal -2 binary64) A) (*.f64 B B)) |
(+ (* 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 (*.f64 C 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 (*.f64 C 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)))) |
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(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
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(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))) |
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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)))))) |
(fma.f64 A (-.f64 (/.f64 (*.f64 B (*.f64 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 (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))))))) |
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(+ (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)))))))))) |
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C |
(* C (+ 1 (* -1 (/ A C)))) |
(-.f64 C (*.f64 C (/.f64 A C))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(*.f64 C (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) (-.f64 #s(literal 1 binary64) (/.f64 A C)))) |
(* 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))))) |
(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 B B (/.f64 (*.f64 (*.f64 B B) A) C)) C) A) C) (neg.f64 C)) |
(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) A) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (-.f64 A C)) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (-.f64 A C)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(fma.f64 (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 B #s(literal 1/2 binary64)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 (*.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 B B) (*.f64 B B)))) B) |
(* 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))))))) |
(fma.f64 B (fma.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) #s(literal 1/2 binary64))) (*.f64 B B)))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 B #s(literal 1/2 binary64)) B)) |
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(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
Compiled 27 483 to 4 030 computations (85.3% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 634 | 14 | 648 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 635 | 14 | 649 |
| Status | Accuracy | Program |
|---|---|---|
| 28.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) | |
| 19.7% | (*.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)) (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)))) (PI.f64))) | |
| 35.4% | (*.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))) | |
| 41.3% | (*.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))) | |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) | |
| 21.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) | |
| ▶ | 22.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
| 48.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) | |
| ▶ | 47.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| ▶ | 78.0% | (*.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))) |
| ▶ | 27.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64))) |
| 19.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) | |
| 16.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) | |
| ▶ | 20.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 478 to 364 computations (23.8% 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 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64))) |
| ✓ | cost-diff | 1344 | (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
| ✓ | cost-diff | 0 | (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| ✓ | 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) |
| 7 560× | accelerator-lowering-fma.f32 |
| 7 560× | accelerator-lowering-fma.f64 |
| 3 334× | *-lowering-*.f32 |
| 3 334× | *-lowering-*.f64 |
| 1 472× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 309 |
| 1 | 82 | 293 |
| 2 | 171 | 293 |
| 3 | 423 | 277 |
| 4 | 977 | 277 |
| 5 | 2586 | 277 |
| 6 | 5315 | 277 |
| 0 | 8442 | 235 |
| 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 (+ 1 (/ (- C A) B))) (PI))) |
180 |
(/ (atan (+ 1 (/ (- C A) B))) (PI)) |
(atan (+ 1 (/ (- C A) B))) |
(+ 1 (/ (- C A) B)) |
1 |
(/ (- C A) B) |
(- C A) |
C |
A |
B |
(PI) |
(* 180 (/ (atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) (PI))) |
180 |
(/ (atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) (PI)) |
(atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) |
(* (/ 1 B) (* 1/2 (/ (* B B) A))) |
(/ 1 B) |
1 |
B |
(* 1/2 (/ (* B B) A)) |
1/2 |
(/ (* B B) A) |
(* B B) |
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 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (PI.f64)) |
(atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 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 C (+.f64 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 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(- C A) |
(-.f64 C A) |
C |
A |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(PI) |
(PI.f64) |
(* 180 (/ (atan -1) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan -1) (PI)) |
(/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
(atan -1) |
(atan.f64 #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(PI) |
(PI.f64) |
(* 180 (/ (atan (/ (* -2 A) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (/ (* -2 A) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) A) B)) (PI.f64)) |
(atan (/ (* -2 A) B)) |
(atan.f64 (/.f64 (-.f64 (neg.f64 A) A) B)) |
(/ (* -2 A) B) |
(/.f64 (-.f64 (neg.f64 A) A) B) |
(* -2 A) |
(-.f64 (neg.f64 A) A) |
-2 |
#s(literal -2 binary64) |
A |
B |
(PI) |
(PI.f64) |
(* 180 (/ (atan (+ 1 (/ (- C A) B))) (PI))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (+ 1 (/ (- C A) B))) (PI)) |
(/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
(atan (+ 1 (/ (- C A) B))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
(+ 1 (/ (- C A) B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
1 |
#s(literal 1 binary64) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(- C A) |
(-.f64 C A) |
C |
A |
B |
(PI) |
(PI.f64) |
(* 180 (/ (atan (* (/ 1 B) (* 1/2 (/ (* B B) 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) (* 1/2 (/ (* B B) A)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
(atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(* (/ 1 B) (* 1/2 (/ (* B B) A))) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
1 |
#s(literal 1 binary64) |
B |
(* 1/2 (/ (* B B) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
1/2 |
#s(literal 1/2 binary64) |
(/ (* B B) A) |
(/.f64 (*.f64 B B) A) |
(* B B) |
(*.f64 B B) |
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 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64))) |
| ✓ | accuracy | 87.0% | (/.f64 (*.f64 B B) A) |
| ✓ | accuracy | 74.3% | (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A))) |
| ✓ | accuracy | 100.0% | (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 C A) B) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | 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 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
| ✓ | accuracy | 92.6% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 84.9% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 56.0ms | 60× | 2 | valid |
| 50.0ms | 164× | 0 | valid |
| 19.0ms | 32× | 1 | valid |
Compiled 269 to 39 computations (85.5% saved)
ival-div: 23.0ms (25.5% of total)ival-mult: 19.0ms (21.1% of total)adjust: 17.0ms (18.9% of total)ival-atan: 16.0ms (17.7% of total)ival-hypot: 8.0ms (8.9% of total)ival-sub: 4.0ms (4.4% of total)ival-add: 2.0ms (2.2% of total)ival-pi: 1.0ms (1.1% of total)exact: 1.0ms (1.1% 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)))))) (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 (* 180 (/ (atan (+ 1 (/ (- C A) B))) (PI)))> |
#<alt (/ (atan (+ 1 (/ (- C A) B))) (PI))> |
#<alt (atan (+ 1 (/ (- C A) B)))> |
#<alt (+ 1 (/ (- C A) B))> |
#<alt (* (/ 1 B) (* 1/2 (/ (* B B) A)))> |
#<alt (* 180 (/ (atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) (PI)))> |
#<alt (/ (atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) (PI))> |
#<alt (atan (* (/ 1 B) (* 1/2 (/ (* B B) A))))> |
#<alt (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))> |
#<alt (/ (- C A) B)> |
#<alt (/ (* B B) 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)))))))> |
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#<alt A> |
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#<alt B> |
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#<alt (/ C B)> |
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#<alt (- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
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#<alt (* 2 C)> |
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#<alt (* C (+ (* -1 (/ A (* B C))) (/ 1 B)))> |
#<alt (* C (+ (* -1 (/ A (* B C))) (/ 1 B)))> |
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#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
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#<alt (/ (pow B 2) A)> |
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#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
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#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
#<alt (/ (pow B 2) A)> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | A | @ | -inf | (* 180 (/ (atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) (PI))) |
| 6.0ms | C | @ | inf | (+ 1 (/ (- C A) B)) |
| 5.0ms | B | @ | -inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))) |
| 2.0ms | B | @ | inf | (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
| 1.0ms | C | @ | inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))) |
| 1× | batch-egg-rewrite |
| 5 120× | *-lowering-*.f32 |
| 5 120× | *-lowering-*.f64 |
| 4 818× | /-lowering-/.f32 |
| 4 818× | /-lowering-/.f64 |
| 3 166× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 228 |
| 1 | 198 | 214 |
| 2 | 1528 | 214 |
| 0 | 8663 | 189 |
| 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) |
(* 180 (/ (atan (+ 1 (/ (- C A) B))) (PI))) |
(/ (atan (+ 1 (/ (- C A) B))) (PI)) |
(atan (+ 1 (/ (- C A) B))) |
(+ 1 (/ (- C A) B)) |
(* (/ 1 B) (* 1/2 (/ (* B B) A))) |
(* 180 (/ (atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) (PI))) |
(/ (atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) (PI)) |
(atan (* (/ 1 B) (* 1/2 (/ (* B B) A)))) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(/ (- C A) B) |
(/ (* B B) 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) (neg.f64 B)) |
(hypot.f64 (-.f64 C A) (exp.f64 (log.f64 B))) |
(hypot.f64 B (-.f64 C A)) |
(hypot.f64 B (neg.f64 (-.f64 C A))) |
(hypot.f64 B (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 B) (-.f64 C A)) |
(hypot.f64 (neg.f64 B) (neg.f64 (-.f64 C A))) |
(hypot.f64 (neg.f64 B) (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 (-.f64 C A)) B) |
(hypot.f64 (neg.f64 (-.f64 C A)) (neg.f64 B)) |
(hypot.f64 (neg.f64 (-.f64 C A)) (exp.f64 (log.f64 B))) |
(hypot.f64 (exp.f64 (log.f64 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)))) |
(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))) |
(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))) |
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(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)) |
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(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)))))) |
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(/.f64 (fma.f64 C (*.f64 C C) (pow.f64 (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) #s(literal 3 binary64))) (fma.f64 C C (-.f64 (*.f64 (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (*.f64 C (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))))) |
(/.f64 (fma.f64 C (*.f64 C C) (pow.f64 (+.f64 (neg.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 (-.f64 (*.f64 (+.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (+.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (*.f64 C (+.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))))) |
(/.f64 (fma.f64 C (*.f64 C C) (pow.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 3 binary64))) (fma.f64 C C (-.f64 (*.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (*.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))))) |
(/.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 (+.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 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 C A)) #s(literal 3 binary64)) (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 #s(literal 1 binary64) (-.f64 C A)) (*.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.f64 C A)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))))) |
(pow.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)))) (-.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)) |
(pow.f64 (/.f64 (+.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)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal -1 binary64)) |
(*.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 C 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 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 C B) (neg.f64 (/.f64 A B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 B (-.f64 C A))) #s(literal -1 binary64))) |
(-.f64 (/.f64 C B) (/.f64 A B)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 B)) (/.f64 (-.f64 C A) (neg.f64 B))) |
(-.f64 (/.f64 (/.f64 (*.f64 C (*.f64 C C)) (fma.f64 C C (*.f64 A (+.f64 C A)))) B) (/.f64 (/.f64 (*.f64 A (*.f64 A A)) (fma.f64 C C (*.f64 A (+.f64 C A)))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 C C) (+.f64 C A)) B) (/.f64 (/.f64 (*.f64 A A) (+.f64 C A)) B)) |
(-.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (fma.f64 C C (*.f64 A (+.f64 C A))))) (/.f64 (*.f64 A (*.f64 A A)) (*.f64 B (fma.f64 C C (*.f64 A (+.f64 C A)))))) |
(-.f64 (/.f64 (*.f64 C C) (*.f64 B (+.f64 C A))) (/.f64 (*.f64 A A) (*.f64 B (+.f64 C A)))) |
(-.f64 (/.f64 (*.f64 C B) (*.f64 B B)) (/.f64 (*.f64 B A) (*.f64 B B))) |
(-.f64 (/.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (*.f64 B B))) (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 A B) (/.f64 A B) (*.f64 (/.f64 C B) (/.f64 A B))))) (/.f64 (/.f64 (*.f64 A (*.f64 A A)) (*.f64 B (*.f64 B B))) (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 A B) (/.f64 A B) (*.f64 (/.f64 C B) (/.f64 A B)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (+.f64 (/.f64 C B) (/.f64 A B))) (/.f64 (*.f64 (/.f64 A B) (/.f64 A B)) (+.f64 (/.f64 C B) (/.f64 A B)))) |
(fma.f64 C (/.f64 #s(literal 1 binary64) B) (neg.f64 (/.f64 A B))) |
(neg.f64 (/.f64 (-.f64 C A) (neg.f64 B))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 C A)) B)) |
(/.f64 (-.f64 C A) B) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C A))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B (-.f64 C A)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 B (-.f64 C A))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 B (-.f64 C A)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 B (-.f64 C A)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 C A)) (neg.f64 B)) |
(/.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) (*.f64 B (fma.f64 C C (*.f64 A (+.f64 C A))))) |
(/.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (*.f64 B (+.f64 C A))) |
(/.f64 (-.f64 (*.f64 C B) (*.f64 B A)) (*.f64 B B)) |
(/.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) B) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 C A)) B) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 C A))) (neg.f64 B)) |
(/.f64 (*.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) #s(literal 1 binary64)) (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) B)) |
(/.f64 (*.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) #s(literal -1 binary64)) (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (neg.f64 B))) |
(/.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) #s(literal 1 binary64)) (*.f64 (+.f64 C A) B)) |
(/.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) #s(literal -1 binary64)) (*.f64 (+.f64 C A) (neg.f64 B))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A))) (neg.f64 (*.f64 B (fma.f64 C C (*.f64 A (+.f64 C A)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 C A) (-.f64 C A))) (neg.f64 (*.f64 B (+.f64 C A)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 C A))) (neg.f64 (neg.f64 B))) |
(/.f64 (-.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (*.f64 B B))) (/.f64 (*.f64 A (*.f64 A A)) (*.f64 B (*.f64 B B)))) (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 A B) (/.f64 A B) (*.f64 (/.f64 C B) (/.f64 A B))))) |
(/.f64 (-.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (*.f64 (/.f64 A B) (/.f64 A B))) (+.f64 (/.f64 C B) (/.f64 A B))) |
(/.f64 (*.f64 (-.f64 C A) #s(literal -1 binary64)) (neg.f64 B)) |
(/.f64 (*.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)) (fma.f64 C C (*.f64 A (+.f64 C A)))) |
(/.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)) (+.f64 C A)) |
(/.f64 (-.f64 (neg.f64 C) (neg.f64 A)) (neg.f64 B)) |
(/.f64 (-.f64 (*.f64 C (/.f64 B A)) B) (/.f64 (*.f64 B B) A)) |
(/.f64 (-.f64 (*.f64 C (neg.f64 B)) (*.f64 B (neg.f64 A))) (*.f64 B (neg.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B C) A)) (*.f64 (/.f64 B C) B)) |
(/.f64 (-.f64 (/.f64 B A) (*.f64 (/.f64 B C) #s(literal 1 binary64))) (*.f64 (/.f64 B C) (/.f64 B A))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 B)) (*.f64 (/.f64 B C) (neg.f64 A))) (*.f64 (/.f64 B C) (neg.f64 B))) |
(/.f64 (-.f64 (*.f64 (neg.f64 C) B) (*.f64 (neg.f64 B) A)) (*.f64 B (neg.f64 B))) |
(/.f64 (-.f64 (*.f64 (neg.f64 C) (/.f64 B A)) (*.f64 (neg.f64 B) #s(literal 1 binary64))) (*.f64 (neg.f64 B) (/.f64 B A))) |
(/.f64 (-.f64 (*.f64 (neg.f64 C) (neg.f64 B)) (*.f64 (neg.f64 B) (neg.f64 A))) (*.f64 B B)) |
(/.f64 (neg.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64))) (neg.f64 B)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 C A))) (neg.f64 B)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 C A)))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C B) (*.f64 B A))) (*.f64 B (neg.f64 B))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) B))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (neg.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 C A) B))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 C A) (neg.f64 B)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 C A)))) (neg.f64 (neg.f64 (neg.f64 B)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (*.f64 B B))) (/.f64 (*.f64 A (*.f64 A A)) (*.f64 B (*.f64 B B))))) (neg.f64 (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 A B) (/.f64 A B) (*.f64 (/.f64 C B) (/.f64 A B)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (*.f64 (/.f64 A B) (/.f64 A B)))) (neg.f64 (+.f64 (/.f64 C B) (/.f64 A B)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 C A) #s(literal -1 binary64))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B))) (neg.f64 (fma.f64 C C (*.f64 A (+.f64 C A))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B))) (neg.f64 (+.f64 C A))) |
(/.f64 (+.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (*.f64 B B))) (pow.f64 (neg.f64 (/.f64 A B)) #s(literal 3 binary64))) (fma.f64 (/.f64 C B) (/.f64 C B) (-.f64 (*.f64 (neg.f64 (/.f64 A B)) (neg.f64 (/.f64 A B))) (*.f64 (/.f64 C B) (neg.f64 (/.f64 A B)))))) |
(pow.f64 (/.f64 B (-.f64 C A)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 B (-.f64 C A)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) |
(*.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) (/.f64 (-.f64 C A) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (-.f64 C A)) B)) |
(*.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (-.f64 C A)) (/.f64 #s(literal -1 binary64) B)) |
(*.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (pow.f64 (/.f64 B (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 A (+.f64 C A))))) |
(*.f64 (pow.f64 (/.f64 B (*.f64 (+.f64 C A) (-.f64 C A))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 C A))) |
(*.f64 (/.f64 (-.f64 C A) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) B)) |
(*.f64 (/.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) B) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 A (+.f64 C A)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 C A) (-.f64 C A)) B) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 C A)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) B) (/.f64 (-.f64 C A) (fma.f64 C C (*.f64 A (+.f64 C A))))) |
(*.f64 (/.f64 (+.f64 C A) B) (/.f64 (-.f64 C A) (+.f64 C A))) |
(exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 B B))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 A)) (/.f64 (*.f64 B B) (neg.f64 A))) |
(neg.f64 (/.f64 (*.f64 B B) (neg.f64 A))) |
(neg.f64 (/.f64 (*.f64 B (neg.f64 B)) A)) |
(/.f64 (*.f64 B B) A) |
(/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 A (*.f64 B B)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 A (*.f64 B B))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 A (*.f64 B B)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 A (*.f64 B B)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 B (neg.f64 B)) (neg.f64 A)) |
(/.f64 (neg.f64 (*.f64 B (neg.f64 B))) (neg.f64 (neg.f64 A))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 B (neg.f64 B)))) (neg.f64 (neg.f64 (neg.f64 A)))) |
(pow.f64 (/.f64 A (*.f64 B B)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 A (*.f64 B B)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 B (/.f64 B A)) |
(*.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) A)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) A)) |
(*.f64 (*.f64 B (neg.f64 B)) (/.f64 #s(literal 1 binary64) (neg.f64 A))) |
(*.f64 (/.f64 #s(literal 1 binary64) A) (*.f64 B B)) |
(*.f64 (/.f64 #s(literal 1 binary64) A) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) #s(literal -1 binary64))) |
(*.f64 (/.f64 B A) B) |
(*.f64 (/.f64 B #s(literal -1 binary64)) (/.f64 (neg.f64 B) A)) |
| 1× | egg-herbie |
| 8 540× | accelerator-lowering-fma.f32 |
| 8 540× | accelerator-lowering-fma.f64 |
| 6 036× | *-lowering-*.f32 |
| 6 036× | *-lowering-*.f64 |
| 3 030× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 7370 |
| 1 | 1974 | 7187 |
| 2 | 6074 | 7138 |
| 0 | 8465 | 6486 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(- C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(- (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 180 (/ (atan (* -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)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
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(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
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(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
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(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
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(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI)) |
(/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI)) |
(/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI)) |
(/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI)) |
(/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI)) |
(/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI)) |
(/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) |
(atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) |
(atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) |
(atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) |
(atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) |
(atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) |
(atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(- 1 (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(/ C B) |
(* C (- (+ (/ 1 B) (/ 1 C)) (/ A (* B C)))) |
(* C (- (+ (/ 1 B) (/ 1 C)) (/ A (* B C)))) |
(* C (- (+ (/ 1 B) (/ 1 C)) (/ A (* B C)))) |
(/ C B) |
(* -1 (* C (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (/ 1 B)))) |
(* -1 (* C (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (/ 1 B)))) |
(* -1 (* C (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (/ 1 B)))) |
(+ 1 (/ C B)) |
(+ 1 (+ (* -1 (/ A B)) (/ C B))) |
(+ 1 (+ (* -1 (/ A B)) (/ C B))) |
(+ 1 (+ (* -1 (/ A B)) (/ C B))) |
(* -1 (/ A B)) |
(* A (- (+ (/ 1 A) (/ C (* A B))) (/ 1 B))) |
(* A (- (+ (/ 1 A) (/ C (* A B))) (/ 1 B))) |
(* A (- (+ (/ 1 A) (/ C (* A B))) (/ 1 B))) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ (+ 1 (/ C B)) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (+ 1 (/ C B)) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (+ 1 (/ C B)) A)) (/ 1 B)))) |
(/ (- C A) B) |
(/ (- (+ B C) A) B) |
(/ (- (+ B C) A) B) |
(/ (- (+ B C) A) B) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/ (atan (* 1/2 (/ B A))) (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 (/ A B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(/ C B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(/ C B) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(/ C B) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(* -1 (/ A B)) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (pow B 2) A) |
(/ (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))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 A (neg.f64 C)) (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))))))) |
(*.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 A (*.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)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 A C)) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)))))) (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 (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))))) |
(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))))) |
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(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 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 C (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64)) (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) A) #s(literal 1 binary64)) (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 C (fma.f64 C (*.f64 #s(literal -1/2 binary64) (fma.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))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))))) (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64))) (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) 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)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 A (*.f64 A (*.f64 B B)))) (*.f64 C (*.f64 C C))) (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) (*.f64 C C)) (/.f64 (*.f64 B B) C)))) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(neg.f64 (*.f64 C (fma.f64 A (/.f64 #s(literal 2 binary64) C) #s(literal -2 binary64)))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(*.f64 (neg.f64 C) (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) (*.f64 A #s(literal 2 binary64))) C))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(*.f64 (neg.f64 C) (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B)) C) (*.f64 A #s(literal 2 binary64))) C))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (*.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))) (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 A C) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))))) (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (+.f64 (/.f64 C A) #s(literal -2 binary64)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 A A)) (+.f64 (/.f64 C A) #s(literal -2 binary64))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 A (-.f64 (fma.f64 (*.f64 (*.f64 B B) C) (/.f64 #s(literal -1/2 binary64) (*.f64 A (*.f64 A A))) (/.f64 C A)) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (-.f64 #s(literal 2 binary64) (/.f64 C A))))) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64) (neg.f64 (*.f64 C (*.f64 (*.f64 B B) C)))) A) (*.f64 (*.f64 B B) C)) A) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64) (neg.f64 (*.f64 C (*.f64 (*.f64 B B) C)))) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 C #s(literal -1/2 binary64)))) A) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64) (neg.f64 (*.f64 C (*.f64 (*.f64 B B) C))))) A) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) C))) A)) (neg.f64 A)) |
(* -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))))) |
(*.f64 (*.f64 B 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)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(*.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)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 A C) B) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(*.f64 (neg.f64 B) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 C A)) B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(*.f64 (neg.f64 B) (-.f64 #s(literal -1 binary64) (/.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 A C) (*.f64 (-.f64 C A) #s(literal 1/2 binary64)))) B)) A) B))) |
(* -1 (/ A B)) |
(/.f64 A (neg.f64 B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(/ C B) |
(/.f64 C B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(fma.f64 C (/.f64 A (*.f64 B (neg.f64 C))) (/.f64 C B)) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(fma.f64 C (/.f64 A (*.f64 B (neg.f64 C))) (/.f64 C B)) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(fma.f64 C (/.f64 A (*.f64 B (neg.f64 C))) (/.f64 C B)) |
(/ C B) |
(/.f64 C B) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(*.f64 (neg.f64 C) (+.f64 (/.f64 A (*.f64 B C)) (/.f64 #s(literal -1 binary64) B))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(*.f64 (neg.f64 C) (+.f64 (/.f64 A (*.f64 B C)) (/.f64 #s(literal -1 binary64) B))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(*.f64 (neg.f64 C) (+.f64 (/.f64 A (*.f64 B C)) (/.f64 #s(literal -1 binary64) B))) |
(/ C B) |
(/.f64 C B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(* -1 (/ A B)) |
(/.f64 A (neg.f64 B)) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(fma.f64 A (/.f64 C (*.f64 A B)) (/.f64 A (neg.f64 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(fma.f64 A (/.f64 C (*.f64 A B)) (/.f64 A (neg.f64 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(fma.f64 A (/.f64 C (*.f64 A B)) (/.f64 A (neg.f64 B))) |
(* -1 (/ A B)) |
(/.f64 A (neg.f64 B)) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(fma.f64 A (/.f64 C (*.f64 A B)) (/.f64 A (neg.f64 B))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(fma.f64 A (/.f64 C (*.f64 A B)) (/.f64 A (neg.f64 B))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(fma.f64 A (/.f64 C (*.f64 A B)) (/.f64 A (neg.f64 B))) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
(/ (pow B 2) A) |
(/.f64 (*.f64 B B) A) |
Compiled 35 150 to 4 783 computations (86.4% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 580 | 12 | 1 592 |
| Fresh | 1 | 8 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 583 | 23 | 1 606 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.6% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| 22.6% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) | |
| 22.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) (*.f64 B A)))) (PI.f64)) | |
| ▶ | 22.6% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)))) |
| 22.0% | (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) (*.f64 B A))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) | |
| 28.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) | |
| 19.7% | (*.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)) (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)))) (PI.f64))) | |
| 35.4% | (*.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))) | |
| 41.3% | (*.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))) | |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) | |
| 21.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) | |
| 22.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) | |
| 37.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) | |
| 48.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) | |
| ✓ | 47.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| ▶ | 35.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
| ▶ | 77.0% | (*.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)))))) |
| ✓ | 78.0% | (*.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))) |
| 35.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.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))))) (PI.f64))) | |
| 41.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) | |
| 19.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) | |
| ▶ | 16.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 20.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 751 to 565 computations (24.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
| ✓ | cost-diff | 384 | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 C B)) |
| ✓ | cost-diff | 0 | (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (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) |
| 5 136× | accelerator-lowering-fma.f32 |
| 5 136× | accelerator-lowering-fma.f64 |
| 1 372× | *-lowering-*.f32 |
| 1 372× | *-lowering-*.f64 |
| 1 020× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 294 |
| 1 | 79 | 286 |
| 2 | 148 | 286 |
| 3 | 307 | 286 |
| 4 | 692 | 286 |
| 5 | 1428 | 286 |
| 6 | 2389 | 286 |
| 7 | 3962 | 286 |
| 8 | 5019 | 286 |
| 9 | 5505 | 286 |
| 10 | 5619 | 286 |
| 11 | 5665 | 286 |
| 12 | 5701 | 286 |
| 13 | 5951 | 286 |
| 14 | 6050 | 286 |
| 15 | 6066 | 286 |
| 16 | 6086 | 286 |
| 17 | 6088 | 286 |
| 18 | 6088 | 286 |
| 19 | 6128 | 286 |
| 20 | 6434 | 286 |
| 21 | 6482 | 286 |
| 22 | 6486 | 286 |
| 23 | 6486 | 286 |
| 24 | 6486 | 286 |
| 0 | 6486 | 244 |
| 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 (+ 1 (/ C B))) (PI))) |
180 |
(/ (atan (+ 1 (/ C B))) (PI)) |
(atan (+ 1 (/ C B))) |
(+ 1 (/ C B)) |
1 |
(/ C B) |
C |
B |
(PI) |
(/ (* 180 (atan (/ (* B 1/2) A))) (PI)) |
(* 180 (atan (/ (* B 1/2) A))) |
180 |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
B |
1/2 |
A |
(PI) |
(/ 180 (/ (PI) (atan (/ (* A -2) B)))) |
180 |
(/ (PI) (atan (/ (* A -2) B))) |
(PI) |
(atan (/ (* A -2) B)) |
(/ (* A -2) B) |
(* A -2) |
A |
-2 |
B |
| 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 (+ 1 (/ C B))) (PI))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64)) |
(atan (+ 1 (/ C B))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) |
(+ 1 (/ C B)) |
(+.f64 #s(literal 1 binary64) (/.f64 C B)) |
1 |
#s(literal 1 binary64) |
(/ C B) |
(/.f64 C B) |
C |
B |
(PI) |
(PI.f64) |
(/ (* 180 (atan (/ (* B 1/2) A))) (PI)) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (atan (/ (* B 1/2) A))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
180 |
#s(literal 180 binary64) |
(atan (/ (* B 1/2) A)) |
(atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) |
(/ (* B 1/2) A) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) A)) |
(* B 1/2) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
1/2 |
#s(literal 1/2 binary64) |
A |
(PI) |
(PI.f64) |
(/ 180 (/ (PI) (atan (/ (* A -2) B)))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (PI) (atan (/ (* A -2) B))) |
(/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) A) B))) |
(PI) |
(PI.f64) |
(atan (/ (* A -2) B)) |
(atan.f64 (/.f64 (-.f64 (neg.f64 A) A) B)) |
(/ (* A -2) B) |
(/.f64 (-.f64 (neg.f64 A) A) B) |
(* A -2) |
(-.f64 (neg.f64 A) A) |
A |
-2 |
#s(literal -2 binary64) |
B |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 C B)) |
| ✓ | accuracy | 100.0% | (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64)) |
| ✓ | 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 | 92.6% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 84.9% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 50.0ms | 60× | 2 | valid |
| 47.0ms | 164× | 0 | valid |
| 16.0ms | 32× | 1 | valid |
Compiled 254 to 42 computations (83.5% saved)
ival-div: 21.0ms (28.5% of total)ival-mult: 15.0ms (20.4% of total)ival-atan: 10.0ms (13.6% of total)ival-hypot: 8.0ms (10.9% of total)adjust: 7.0ms (9.5% of total)ival-sqrt: 5.0ms (6.8% of total)ival-sub: 4.0ms (5.4% of total)ival-add: 2.0ms (2.7% of total)ival-pi: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (+ (* (- C A) (- C A)) (* B B)))> |
#<alt (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))> |
#<alt (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (* (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 (+ 1 (/ C B))) (PI)))> |
#<alt (/ (atan (+ 1 (/ C B))) (PI))> |
#<alt (atan (+ 1 (/ C B)))> |
#<alt (+ 1 (/ C B))> |
#<alt (/ (* 180 (atan (/ (* B 1/2) A))) (PI))> |
#<alt (* 180 (atan (/ (* B 1/2) A)))> |
#<alt (atan (/ (* B 1/2) A))> |
#<alt (/ (* B 1/2) A)> |
#<alt (/ 180 (/ (PI) (atan (/ (* A -2) B))))> |
#<alt (/ (PI) (atan (/ (* A -2) B)))> |
#<alt (atan (/ (* A -2) B))> |
#<alt (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))> |
#<alt (sqrt (PI))> |
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))> |
| 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)))))))> |
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#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (* -2 (/ A B))) (PI)))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (/ (PI) (atan (* -2 (/ A B))))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (atan (* -2 (/ A B)))> |
#<alt (* -1 (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (* -1 (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
#<alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C))))))> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* 2 (/ A C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2)))> |
#<alt (- C (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (* -2 A)> |
#<alt (* A (- (/ C A) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* 1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1/2 (/ (pow B 2) (- C A)))> |
#<alt (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1)))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | A | @ | -inf | (* 180 (atan (/ (* B 1/2) A))) |
| 1.0ms | C | @ | -inf | (* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
| 1.0ms | B | @ | inf | (* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
| 1.0ms | B | @ | -inf | (* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
| 1.0ms | C | @ | inf | (* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
| 1× | batch-egg-rewrite |
| 5 014× | *-lowering-*.f32 |
| 5 014× | *-lowering-*.f64 |
| 4 330× | /-lowering-/.f32 |
| 4 330× | /-lowering-/.f64 |
| 2 952× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 198 |
| 1 | 212 | 178 |
| 2 | 1547 | 178 |
| 0 | 8428 | 153 |
| 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 (+ 1 (/ C B))) (PI))) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(atan (+ 1 (/ C B))) |
(+ 1 (/ C B)) |
(/ (* 180 (atan (/ (* B 1/2) A))) (PI)) |
(* 180 (atan (/ (* B 1/2) A))) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(/ 180 (/ (PI) (atan (/ (* A -2) B)))) |
(/ (PI) (atan (/ (* A -2) B))) |
(atan (/ (* A -2) B)) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(sqrt (PI)) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
| 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 (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 B) (-.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)) (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) (-.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 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))))) |
(+.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)) |
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(pow.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)))) (-.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)) |
(pow.f64 (/.f64 (+.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)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal -1 binary64)) |
(*.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 C 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 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)))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (PI.f64)) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(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))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(fabs.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))) |
(*.f64 #s(literal 1 binary64) (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 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (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 (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 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) |
(*.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) (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 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
| 1× | egg-herbie |
| 8 306× | accelerator-lowering-fma.f32 |
| 8 306× | accelerator-lowering-fma.f64 |
| 6 060× | *-lowering-*.f32 |
| 6 060× | *-lowering-*.f64 |
| 2 880× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 614 | 6163 |
| 1 | 1876 | 5998 |
| 2 | 5729 | 5958 |
| 0 | 8293 | 5306 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(- C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(- (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (- 1 (* -1 (/ C B)))) (PI))) |
(* 180 (/ (atan (- 1 (* -1 (/ C B)))) (PI))) |
(* 180 (/ (atan (- 1 (* -1 (/ C B)))) (PI))) |
(* 180 (/ (atan (- 1 (* -1 (/ C B)))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(* 180 (/ (atan (+ 1 (/ C B))) (PI))) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (- 1 (* -1 (/ C B)))) (PI)) |
(/ (atan (- 1 (* -1 (/ C B)))) (PI)) |
(/ (atan (- 1 (* -1 (/ C B)))) (PI)) |
(/ (atan (- 1 (* -1 (/ C B)))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(/ (atan (+ 1 (/ C B))) (PI)) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (- 1 (* -1 (/ C B)))) |
(atan (- 1 (* -1 (/ C B)))) |
(atan (- 1 (* -1 (/ C B)))) |
(atan (- 1 (* -1 (/ C B)))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
(atan (+ 1 (/ C B))) |
1 |
(+ 1 (/ C B)) |
(+ 1 (/ C B)) |
(+ 1 (/ C B)) |
(/ C B) |
(* C (+ (/ 1 B) (/ 1 C))) |
(* C (+ (/ 1 B) (/ 1 C))) |
(* C (+ (/ 1 B) (/ 1 C))) |
(/ C B) |
(* C (+ (/ 1 B) (/ 1 C))) |
(* C (+ (/ 1 B) (/ 1 C))) |
(* C (+ (/ 1 B) (/ 1 C))) |
(/ C B) |
(/ (+ B C) B) |
(/ (+ B C) B) |
(/ (+ B C) B) |
1 |
(+ 1 (/ C B)) |
(+ 1 (/ C B)) |
(+ 1 (/ C B)) |
1 |
(+ 1 (/ C B)) |
(+ 1 (/ C B)) |
(+ 1 (/ C B)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 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))) |
(/ (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))) |
(atan (* -2 (/ A B))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
| 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) (-.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 A C)) (-.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)))) |
(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) |
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(* -1 C) |
(neg.f64 C) |
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(sqrt (+ (pow B 2) (pow C 2))) |
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A |
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(fma.f64 A (/.f64 C (neg.f64 A)) A) |
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(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
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(* -1 A) |
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(- C A) |
(-.f64 C A) |
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B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
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(* 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))))))) |
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(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
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(* -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))))) |
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-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(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)) |
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(+ 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 A C) B)) (-.f64 A C)) B)) |
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(* -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)) |
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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))))) |
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(* 2 (/ C B)) |
(*.f64 C (/.f64 #s(literal 2 binary64) B)) |
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(/ (- 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))))) |
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(* -2 (/ A B)) |
(*.f64 A (/.f64 #s(literal -2 binary64) B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (+.f64 (/.f64 C (*.f64 A B)) (+.f64 (/.f64 C (*.f64 A B)) (/.f64 #s(literal -2 binary64) B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
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(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (/.f64 C A) B) A)) |
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(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 A A)) (/.f64 C A)) (+.f64 (/.f64 C A) #s(literal -2 binary64)))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 A (-.f64 (fma.f64 (*.f64 (*.f64 B B) C) (/.f64 #s(literal -1/2 binary64) (*.f64 A (*.f64 A A))) (/.f64 C A)) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (-.f64 #s(literal 2 binary64) (/.f64 C A))))) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A)) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 C (neg.f64 C)))) A) (*.f64 (*.f64 B B) C)) A) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 C (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 C (neg.f64 C)))))) A) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 B (*.f64 B (*.f64 C C)))) A) (*.f64 C (*.f64 (*.f64 B B) #s(literal -1/2 binary64)))) A)) A)) |
(* -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))))) |
(*.f64 (*.f64 B 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)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (*.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))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(*.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)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(*.f64 B (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 C A) B)))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(*.f64 (neg.f64 B) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (-.f64 C A)) B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(*.f64 (neg.f64 B) (-.f64 #s(literal -1 binary64) (/.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 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 A C)))) B)) A) B))) |
Compiled 38 766 to 4 720 computations (87.8% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 528 | 10 | 1 538 |
| Fresh | 3 | 12 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 534 | 27 | 1 561 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
| 22.6% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) | |
| 27.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64)))))) (PI.f64)) | |
| 35.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) | |
| 26.6% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) (PI.f64)) | |
| ✓ | 22.6% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)))) |
| ▶ | 27.0% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
| ▶ | 26.6% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 28.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 28.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) | |
| 19.7% | (*.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)) (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)))) (PI.f64))) | |
| 35.4% | (*.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))) | |
| 34.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 40.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 41.3% | (*.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))) | |
| 21.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) | |
| 22.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) | |
| 37.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) | |
| ▶ | 48.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
| ✓ | 47.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| ✓ | 78.0% | (*.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))) |
| 27.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 B (*.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))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 35.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.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))))) (PI.f64))) | |
| 41.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) | |
| ▶ | 19.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
| ✓ | 16.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 20.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 965 to 707 computations (26.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
| ✓ | cost-diff | 0 | (*.f64 B #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (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 (/.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))) |
| 688× | accelerator-lowering-fma.f32 |
| 688× | accelerator-lowering-fma.f64 |
| 672× | *-lowering-*.f32 |
| 672× | *-lowering-*.f64 |
| 322× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 214 |
| 1 | 65 | 214 |
| 2 | 112 | 214 |
| 3 | 162 | 214 |
| 4 | 256 | 214 |
| 5 | 423 | 214 |
| 6 | 624 | 214 |
| 7 | 744 | 214 |
| 8 | 986 | 214 |
| 9 | 1379 | 214 |
| 10 | 1719 | 214 |
| 11 | 1993 | 214 |
| 12 | 2046 | 214 |
| 13 | 2067 | 214 |
| 14 | 2080 | 214 |
| 15 | 2080 | 214 |
| 0 | 2080 | 214 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 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 1) (PI))) |
180 |
(/ (atan 1) (PI)) |
(atan 1) |
1 |
(PI) |
(* (atan (/ (* B 1/2) A)) (/ 180 (PI))) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
B |
1/2 |
A |
(/ 180 (PI)) |
180 |
(PI) |
(/ 1 (/ (PI) (* 180 (atan (/ (* B 1/2) A))))) |
1 |
(/ (PI) (* 180 (atan (/ (* B 1/2) A)))) |
(PI) |
(* 180 (atan (/ (* B 1/2) A))) |
180 |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
B |
1/2 |
A |
(/ (* 180 (atan (/ (* B 1/2) A))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
(* 180 (atan (/ (* B 1/2) A))) |
180 |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
B |
1/2 |
A |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(* (PI) (sqrt (PI))) |
(PI) |
(sqrt (PI)) |
(sqrt (sqrt (PI))) |
| Outputs |
|---|
(* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
(*.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (+ (/ (- C A) B) -1)) (PI)) |
(/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64)) |
(atan (+ (/ (- C A) B) -1)) |
(atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(+ (/ (- C A) B) -1) |
(+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)) |
(/ (- 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 1) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan 1) (PI)) |
(/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64)) |
(atan 1) |
(atan.f64 #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
(* (atan (/ (* B 1/2) A)) (/ 180 (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan (/ (* B 1/2) A)) |
(atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) |
(/ (* B 1/2) A) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) A)) |
(* B 1/2) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
1/2 |
#s(literal 1/2 binary64) |
A |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(/ 1 (/ (PI) (* 180 (atan (/ (* B 1/2) A))))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 |
#s(literal 1 binary64) |
(/ (PI) (* 180 (atan (/ (* B 1/2) A)))) |
(/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))))) |
(PI) |
(PI.f64) |
(* 180 (atan (/ (* B 1/2) A))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
180 |
#s(literal 180 binary64) |
(atan (/ (* B 1/2) A)) |
(atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) |
(/ (* B 1/2) A) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) A)) |
(* B 1/2) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
1/2 |
#s(literal 1/2 binary64) |
A |
(/ (* 180 (atan (/ (* B 1/2) A))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(* 180 (atan (/ (* B 1/2) A))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
180 |
#s(literal 180 binary64) |
(atan (/ (* B 1/2) A)) |
(atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) |
(/ (* B 1/2) A) |
(*.f64 B (/.f64 #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 |
(* (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))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | 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 | 100.0% | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | accuracy | 99.8% | (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | accuracy | 99.7% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.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 | 100.0% | (PI.f64) |
| ✓ | 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 (-.f64 C A) B) |
| 61.0ms | 256× | 0 | valid |
Compiled 218 to 33 computations (84.9% saved)
ival-div: 13.0ms (35% of total)ival-mult: 10.0ms (26.9% of total)ival-sqrt: 5.0ms (13.5% of total)ival-atan: 4.0ms (10.8% of total)ival-sub: 2.0ms (5.4% of total)ival-pi: 1.0ms (2.7% of total)ival-add: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<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 1) (PI)))> |
#<alt (/ (atan 1) (PI))> |
#<alt (atan 1)> |
#<alt (PI)> |
#<alt (* (atan (/ (* B 1/2) A)) (/ 180 (PI)))> |
#<alt (atan (/ (* B 1/2) A))> |
#<alt (/ (* B 1/2) A)> |
#<alt (* B 1/2)> |
#<alt (/ 1 (/ (PI) (* 180 (atan (/ (* B 1/2) A)))))> |
#<alt (/ (PI) (* 180 (atan (/ (* B 1/2) A))))> |
#<alt (* 180 (atan (/ (* B 1/2) A)))> |
#<alt (/ (* 180 (atan (/ (* B 1/2) A))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))> |
#<alt (/ (- C A) B)> |
#<alt (sqrt (PI))> |
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))> |
| Outputs |
|---|
#<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))> |
#<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 (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1))> |
#<alt (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1))> |
#<alt (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1))> |
#<alt (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (+ (* -1 (/ A B)) (/ C B)) 1))> |
#<alt (atan (- (+ (* -1 (/ A B)) (/ C B)) 1))> |
#<alt (atan (- (+ (* -1 (/ A B)) (/ C B)) 1))> |
#<alt (atan (- (+ (* -1 (/ A B)) (/ C B)) 1))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (atan (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* -1 (+ 1 (/ A B)))> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (/ C B)> |
#<alt (* C (+ (* -1 (/ (+ 1 (/ A B)) C)) (/ 1 B)))> |
#<alt (* C (+ (* -1 (/ (+ 1 (/ A B)) C)) (/ 1 B)))> |
#<alt (* C (+ (* -1 (/ (+ 1 (/ A B)) C)) (/ 1 B)))> |
#<alt (/ C B)> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) 1) C)) (/ 1 B))))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) 1) C)) (/ 1 B))))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) 1) C)) (/ 1 B))))> |
#<alt (- (/ C B) 1)> |
#<alt (- (+ (* -1 (/ A B)) (/ C B)) 1)> |
#<alt (- (+ (* -1 (/ A B)) (/ C B)) 1)> |
#<alt (- (+ (* -1 (/ A B)) (/ C B)) 1)> |
#<alt (* -1 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (+ (/ 1 A) (/ 1 B))))> |
#<alt (* A (- (/ C (* A B)) (+ (/ 1 A) (/ 1 B))))> |
#<alt (* A (- (/ C (* A B)) (+ (/ 1 A) (/ 1 B))))> |
#<alt (* -1 (/ A B))> |
#<alt (* -1 (* A (+ (* -1 (/ (- (/ C B) 1) A)) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ (- (/ C B) 1) A)) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ (- (/ C B) 1) A)) (/ 1 B))))> |
#<alt (/ (- C A) B)> |
#<alt (/ (- (+ C (* -1 B)) A) B)> |
#<alt (/ (- (+ C (* -1 B)) A) B)> |
#<alt (/ (- (+ C (* -1 B)) A) B)> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (atan (* 1/2 (/ B A)))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<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 (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 1/180 (/ (PI) (atan (* 1/2 (/ B A)))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (atan (* 1/2 (/ B A))))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* -1 (/ A B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (/ C B)> |
#<alt (* C (+ (* -1 (/ A (* B C))) (/ 1 B)))> |
#<alt (* C (+ (* -1 (/ A (* B C))) (/ 1 B)))> |
#<alt (* C (+ (* -1 (/ A (* B C))) (/ 1 B)))> |
#<alt (/ C B)> |
#<alt (* -1 (* C (- (/ A (* B C)) (/ 1 B))))> |
#<alt (* -1 (* C (- (/ A (* B C)) (/ 1 B))))> |
#<alt (* -1 (* C (- (/ A (* B C)) (/ 1 B))))> |
#<alt (/ C B)> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (* -1 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (/ 1 B)))> |
#<alt (* A (- (/ C (* A B)) (/ 1 B)))> |
#<alt (* A (- (/ C (* A B)) (/ 1 B)))> |
#<alt (* -1 (/ A B))> |
#<alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B))))> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | B | @ | -inf | (/ (PI) (* 180 (atan (/ (* B 1/2) A)))) |
| 1.0ms | A | @ | -inf | (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
| 1.0ms | C | @ | 0 | (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
| 1.0ms | C | @ | -inf | (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
| 1.0ms | A | @ | inf | (* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
| 1× | batch-egg-rewrite |
| 5 972× | *-lowering-*.f32 |
| 5 972× | *-lowering-*.f64 |
| 3 800× | /-lowering-/.f32 |
| 3 800× | /-lowering-/.f64 |
| 3 496× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 120 |
| 1 | 156 | 120 |
| 2 | 1055 | 120 |
| 0 | 8578 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (+ (/ (- C A) B) -1)) (PI))) |
(/ (atan (+ (/ (- C A) B) -1)) (PI)) |
(atan (+ (/ (- C A) B) -1)) |
(+ (/ (- C A) B) -1) |
(* 180 (/ (atan 1) (PI))) |
(/ (atan 1) (PI)) |
(atan 1) |
(PI) |
(* (atan (/ (* B 1/2) A)) (/ 180 (PI))) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
(/ 1 (/ (PI) (* 180 (atan (/ (* B 1/2) A))))) |
(/ (PI) (* 180 (atan (/ (* B 1/2) A)))) |
(* 180 (atan (/ (* B 1/2) A))) |
(/ (* 180 (atan (/ (* B 1/2) A))) (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
(/ (- C A) B) |
(sqrt (PI)) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (neg.f64 (PI.f64))) #s(literal 180 binary64))) |
(neg.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (neg.f64 (PI.f64))))) |
(neg.f64 (*.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (/.f64 #s(literal -180 binary64) (PI.f64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (neg.f64 (PI.f64)))) |
(neg.f64 (/.f64 (*.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) #s(literal -180 binary64)) (PI.f64))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))))) |
(/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #s(literal 180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal -180 binary64) (/.f64 (neg.f64 (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) #s(literal -180 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (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)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) #s(literal -180 binary64))) (PI.f64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(/.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #s(literal -1 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (cbrt.f64 (PI.f64))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(*.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 (-.f64 C A) B) #s(literal -1 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 #s(literal -180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (neg.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (*.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) #s(literal -180 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64))) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))) |
(*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.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) B) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.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) B) #s(literal -1 binary64)))) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -180 binary64) (PI.f64))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (neg.f64 (cbrt.f64 (PI.f64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (neg.f64 (PI.f64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (neg.f64 (PI.f64)))) |
(neg.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (neg.f64 (PI.f64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (neg.f64 (PI.f64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
(/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 (neg.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (neg.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
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(*.f64 (*.f64 (+.f64 C A) (/.f64 (-.f64 C A) B)) (/.f64 #s(literal 1 binary64) (+.f64 C A))) |
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(*.f64 (/.f64 (+.f64 C A) B) (/.f64 (-.f64 C A) (+.f64 C A))) |
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (-.f64 C A) (+.f64 C A))) (/.f64 #s(literal 1 binary64) (+.f64 C A))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
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(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
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(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(PI.f64) |
(log.f64 (exp.f64 (PI.f64))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (PI.f64))))) |
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(fabs.f64 (PI.f64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
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(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
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(pow.f64 (E.f64) (log.f64 (PI.f64))) |
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(*.f64 (PI.f64) (log.f64 (E.f64))) |
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(*.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)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64)))) |
(*.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 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.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 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (cbrt.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 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (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 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (PI.f64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 3/8 binary64))) (pow.f64 (PI.f64) #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
| 1× | egg-herbie |
| 6 560× | accelerator-lowering-fma.f32 |
| 6 560× | accelerator-lowering-fma.f64 |
| 2 562× | *-lowering-*.f32 |
| 2 562× | *-lowering-*.f64 |
| 1 416× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 3194 |
| 1 | 221 | 2923 |
| 2 | 558 | 2923 |
| 3 | 1393 | 2923 |
| 4 | 4249 | 2923 |
| 5 | 5980 | 2923 |
| 0 | 8130 | 2923 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(* 180 (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))) |
(* -1 (/ A B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(/ C B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(/ C B) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(/ C B) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(* -1 (/ A B)) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
| Outputs |
|---|
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ 1 (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) (PI.f64)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (* -1 (/ (+ A (* -1 C)) B)) 1)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) 1)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(atan (- (/ C B) (+ 1 (/ A B)))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 B A)) B)) |
(* -1 (+ 1 (/ A B))) |
(-.f64 #s(literal -1 binary64) (/.f64 A B)) |
(- (/ C B) (+ 1 (/ A B))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(- (/ C B) (+ 1 (/ A B))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(- (/ C B) (+ 1 (/ A B))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(/ C B) |
(/.f64 C B) |
(* C (+ (* -1 (/ (+ 1 (/ A B)) C)) (/ 1 B))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* C (+ (* -1 (/ (+ 1 (/ A B)) C)) (/ 1 B))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* C (+ (* -1 (/ (+ 1 (/ A B)) C)) (/ 1 B))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(/ C B) |
(/.f64 C B) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) 1) C)) (/ 1 B)))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) 1) C)) (/ 1 B)))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) 1) C)) (/ 1 B)))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(- (/ C B) 1) |
(+.f64 (/.f64 C B) #s(literal -1 binary64)) |
(- (+ (* -1 (/ A B)) (/ C B)) 1) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(- (+ (* -1 (/ A B)) (/ C B)) 1) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(- (+ (* -1 (/ A B)) (/ C B)) 1) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* -1 (/ A B)) |
(/.f64 (neg.f64 A) B) |
(* A (- (/ C (* A B)) (+ (/ 1 A) (/ 1 B)))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* A (- (/ C (* A B)) (+ (/ 1 A) (/ 1 B)))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* A (- (/ C (* A B)) (+ (/ 1 A) (/ 1 B)))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* -1 (/ A B)) |
(/.f64 (neg.f64 A) B) |
(* -1 (* A (+ (* -1 (/ (- (/ C B) 1) A)) (/ 1 B)))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* -1 (* A (+ (* -1 (/ (- (/ C B) 1) A)) (/ 1 B)))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(* -1 (* A (+ (* -1 (/ (- (/ C B) 1) A)) (/ 1 B)))) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- (+ C (* -1 B)) A) B) |
(/.f64 (-.f64 C (+.f64 B A)) B) |
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(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (atan (* 1/2 (/ B A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A)))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* -1 (/ A B)) |
(/.f64 (neg.f64 A) B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(/ C B) |
(/.f64 C B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(/.f64 (-.f64 C A) B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(/.f64 (-.f64 C A) B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(/.f64 (-.f64 C A) B) |
(/ C B) |
(/.f64 C B) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(/.f64 (-.f64 C A) B) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(/.f64 (-.f64 C A) B) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(/.f64 (-.f64 C A) B) |
(/ C B) |
(/.f64 C B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(+ (* -1 (/ A B)) (/ C B)) |
(/.f64 (-.f64 C A) B) |
(* -1 (/ A B)) |
(/.f64 (neg.f64 A) B) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(/.f64 (-.f64 C A) B) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(/.f64 (-.f64 C A) B) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(/.f64 (-.f64 C A) B) |
(* -1 (/ A B)) |
(/.f64 (neg.f64 A) B) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(/.f64 (-.f64 C A) B) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(/.f64 (-.f64 C A) B) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
Compiled 44 669 to 5 170 computations (88.4% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 562 | 7 | 2 569 |
| Fresh | 1 | 16 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 566 | 30 | 2 596 |
| Status | Accuracy | Program |
|---|---|---|
| 22.6% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) | |
| 27.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64)))))) (PI.f64)) | |
| 35.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) | |
| 26.6% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) (PI.f64)) | |
| ✓ | 22.6% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)))) |
| 48.0% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64)))))) | |
| 27.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 B (*.f64 A #s(literal 2 binary64))))) #s(literal 1/180 binary64))) | |
| 27.0% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 B (*.f64 A #s(literal 2 binary64))))) (PI.f64)) #s(literal 1/180 binary64))) | |
| 48.8% | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) | |
| ✓ | 26.6% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 28.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 28.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) | |
| 19.7% | (*.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)) (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)))) (PI.f64))) | |
| 35.4% | (*.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))) | |
| 34.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 40.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 41.3% | (*.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))) | |
| 22.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) | |
| 21.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) | |
| 37.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) | |
| 38.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) | |
| 37.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (PI.f64))) | |
| ✓ | 47.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| ✓ | 78.0% | (*.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))) |
| 27.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 B (*.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))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 35.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.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))))) (PI.f64))) | |
| 41.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) | |
| ✓ | 19.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
| ✓ | 16.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 20.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 1 235 to 651 computations (47.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 #s(literal 1 binary64) (/.f64 A 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 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 B (*.f64 A #s(literal 2 binary64))))) #s(literal 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) (*.f64 B A)))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 B (*.f64 A #s(literal 2 binary64))))) (PI.f64)) #s(literal 1/180 binary64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) (*.f64 B A))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 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 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.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))))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (*.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 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 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 (fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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)) (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)))) (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 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 B (*.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))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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:
| 14.0ms | C |
| 13.0ms | A |
| 12.0ms | (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))))))) |
| 12.0ms | B |
| 10.0ms | (*.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 |
|---|---|---|
| 80.4% | 2 | A |
| 78.0% | 1 | B |
| 82.0% | 2 | C |
| 87.5% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 87.5% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 87.5% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 87.5% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 #s(literal 1 binary64) (/.f64 A 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 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 B (*.f64 A #s(literal 2 binary64))))) #s(literal 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) (*.f64 B A)))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 B (*.f64 A #s(literal 2 binary64))))) (PI.f64)) #s(literal 1/180 binary64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) (*.f64 B A))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 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 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (sqrt.f64 (PI.f64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.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))))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (*.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 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 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 (fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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)) (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)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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))) |
7 calls:
| 20.0ms | B |
| 15.0ms | C |
| 12.0ms | (/.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)) |
| 11.0ms | A |
| 9.0ms | (*.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 |
|---|---|---|
| 68.7% | 3 | B |
| 64.4% | 4 | A |
| 66.1% | 3 | C |
| 75.4% | 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))) |
| 75.4% | 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)) |
| 75.4% | 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))))))) |
| 75.4% | 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)))))) |
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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 #s(literal 1 binary64) (/.f64 A 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 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (PI.f64))) |
| Outputs |
|---|
(*.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 (*.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))) |
4 calls:
| 9.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 6.0ms | (*.f64 (/.f64 #s(literal 1 binary64) 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))) |
| 5.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 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))) |
| 75.4% | 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)) |
| 75.4% | 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))))))) |
| 75.4% | 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)))))) |
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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 #s(literal 1 binary64) (/.f64 A 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 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
4 calls:
| 9.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 5.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 5.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 5.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 70.0% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 70.0% | 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))))))) |
| 70.0% | 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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 #s(literal 1 binary64) (/.f64 A 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 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
6 calls:
| 8.0ms | (*.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 | B |
| 6.0ms | C |
| 5.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 5.0ms | (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 |
|---|---|---|
| 55.2% | 3 | C |
| 65.6% | 4 | B |
| 65.3% | 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))) |
| 65.3% | 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)) |
| 65.3% | 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))))))) |
| 65.3% | 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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 #s(literal 1 binary64) (/.f64 A 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 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| Outputs |
|---|
(*.f64 #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 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
6 calls:
| 11.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 9.0ms | A |
| 6.0ms | B |
| 5.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 5.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 3 | A |
| 58.3% | 3 | B |
| 60.3% | 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))) |
| 60.3% | 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)) |
| 60.3% | 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))))))) |
| 60.3% | 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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 #s(literal 1 binary64) (/.f64 A 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 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| Outputs |
|---|
(*.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 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
4 calls:
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 4.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 4.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 4.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 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))) |
| 60.3% | 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)) |
| 60.3% | 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))))))) |
| 60.3% | 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 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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 #s(literal 1 binary64) (/.f64 A 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 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
| 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 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) |
6 calls:
| 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)))))) |
| 5.0ms | A |
| 4.0ms | B |
| 4.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 4.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 3 | B |
| 51.2% | 3 | A |
| 56.0% | 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))) |
| 56.0% | 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)) |
| 56.0% | 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))))))) |
| 56.0% | 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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 #s(literal 1 binary64) (/.f64 A 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 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) |
1 calls:
| 7.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 3 | B |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (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 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (PI.f64))) |
1 calls:
| 3.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 3 | B |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #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 (neg.f64 A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (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 #s(literal -1 binary64)) (PI.f64))) |
6 calls:
| 17.0ms | (*.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))) |
| 3.0ms | B |
| 3.0ms | C |
| 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))))))) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.6% | 3 | C |
| 49.3% | 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))) |
| 49.3% | 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)) |
| 49.3% | 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))))))) |
| 49.3% | 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)))))) |
| 56.5% | 4 | 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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (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 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
2 calls:
| 3.0ms | A |
| 3.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.4% | 4 | A |
| 53.3% | 5 | B |
Compiled 8 to 6 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))) |
| Outputs |
|---|
(*.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 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
5 calls:
| 2.0ms | B |
| 2.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) 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 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 2.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.5% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 40.5% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 40.5% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 40.5% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 50.7% | 4 | B |
Compiled 97 to 68 computations (29.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
1 calls:
| 2.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 3 | B |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
7 calls:
| 2.0ms | B |
| 1.0ms | C |
| 1.0ms | A |
| 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 |
|---|---|---|
| 23.6% | 2 | A |
| 27.9% | 2 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 27.9% | 2 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 27.9% | 2 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 27.9% | 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)))))) |
| 27.0% | 2 | C |
| 32.7% | 2 | B |
Compiled 105 to 74 computations (29.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
7 calls:
| 5.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 1.0ms | C |
| 1.0ms | B |
| 1.0ms | A |
| 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 |
|---|---|---|
| 20.9% | 1 | A |
| 20.9% | 1 | C |
| 20.9% | 1 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 20.9% | 1 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 20.9% | 1 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 20.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 20.9% | 1 | B |
Compiled 105 to 74 computations (29.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4617074981163332e-5 | 0.9999999999999999 |
| 0.0ms | -0.9999999999999999 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4617074981163332e-5 | 0.9999999999999999 |
| 0.0ms | -0.9999999999999999 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4617074981163332e-5 | 0.9999999999999999 |
| 0.0ms | -0.9999999999999999 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4617074981163332e-5 | 0.9999999999999999 |
| 0.0ms | -0.9999999999999999 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4617074981163332e-5 | 0.9999999999999999 |
| 0.0ms | -0.9999999999999999 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.4617074981163332e-5 |
| 0.0ms | -0.9999999999999999 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.4617074981163332e-5 |
| 0.0ms | -0.9999999999999999 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.3239556305685136e-139 | 1.273204461261371e-136 |
| 29.0ms | -3.871874659774559e-183 | -4.950160915714367e-184 |
| 39.0ms | 108× | 2 | valid |
| 11.0ms | 101× | 0 | valid |
| 3.0ms | 15× | 1 | valid |
Compiled 365 to 332 computations (9% saved)
adjust: 10.0ms (22.3% of total)ival-pow2: 8.0ms (17.9% of total)ival-sub: 6.0ms (13.4% of total)ival-div: 6.0ms (13.4% of total)ival-mult: 5.0ms (11.2% of total)ival-sqrt: 4.0ms (8.9% of total)ival-atan: 3.0ms (6.7% of total)ival-add: 2.0ms (4.5% of total)ival-pi: 1.0ms (2.2% 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 |
|---|---|---|
| 36.0ms | 1.3239556305685136e-139 | 1.273204461261371e-136 |
| 31.0ms | -3.871874659774559e-183 | -4.950160915714367e-184 |
| 43.0ms | 102× | 2 | valid |
| 12.0ms | 111× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 365 to 332 computations (9% saved)
ival-sub: 11.0ms (24.4% of total)ival-pow2: 7.0ms (15.5% of total)ival-div: 6.0ms (13.3% of total)adjust: 6.0ms (13.3% of total)ival-mult: 5.0ms (11.1% of total)ival-sqrt: 4.0ms (8.9% of total)ival-atan: 3.0ms (6.7% of total)ival-add: 2.0ms (4.4% of total)ival-pi: 1.0ms (2.2% 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 |
|---|---|---|
| 102.0ms | 3.8255468160694864e-132 | 6.4796485241223e-128 |
| 26.0ms | -3.871874659774559e-183 | -4.950160915714367e-184 |
| 104.0ms | 112× | 2 | valid |
| 10.0ms | 93× | 0 | valid |
| 4.0ms | 17× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 365 to 332 computations (9% saved)
ival-mult: 71.0ms (65.8% of total)ival-pow2: 8.0ms (7.4% of total)adjust: 7.0ms (6.5% of total)ival-sub: 6.0ms (5.6% of total)ival-div: 6.0ms (5.6% of total)ival-sqrt: 4.0ms (3.7% of total)ival-atan: 3.0ms (2.8% of total)ival-add: 2.0ms (1.9% 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)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 6.809785131173699e+30 | 4.408846466672011e+35 |
| 35.0ms | 1.3239556305685136e-139 | 1.273204461261371e-136 |
| 29.0ms | -3.871874659774559e-183 | -4.950160915714367e-184 |
| 37.0ms | 110× | 2 | valid |
| 24.0ms | 185× | 0 | valid |
| 11.0ms | 50× | 1 | valid |
| 3.0ms | 7× | 3 | valid |
Compiled 541 to 492 computations (9.1% saved)
ival-pow2: 13.0ms (21% of total)ival-sub: 9.0ms (14.6% of total)ival-div: 9.0ms (14.6% of total)ival-mult: 9.0ms (14.6% of total)adjust: 8.0ms (12.9% of total)ival-sqrt: 5.0ms (8.1% of total)ival-atan: 4.0ms (6.5% of total)ival-add: 3.0ms (4.9% 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)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 6.809785131173699e+30 | 4.408846466672011e+35 |
| 37.0ms | 1.3239556305685136e-139 | 1.273204461261371e-136 |
| 44.0ms | 7.563343656482389e-265 | 1.6585943397347435e-257 |
| 34.0ms | -3.7481485753966157e-152 | -1.1870336974465148e-153 |
| 75.0ms | 208× | 2 | valid |
| 27.0ms | 241× | 0 | valid |
| 15.0ms | 57× | 1 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 765 to 696 computations (9% saved)
adjust: 18.0ms (18.1% of total)ival-pow2: 17.0ms (17.1% of total)ival-sub: 16.0ms (16.1% of total)ival-div: 13.0ms (13.1% of total)ival-mult: 12.0ms (12.1% of total)ival-sqrt: 8.0ms (8.1% of total)ival-add: 6.0ms (6% of total)ival-atan: 6.0ms (6% of total)ival-pi: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-assert: 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 | 3.8758772728079266e-118 | 3.8392261714040344e-115 |
| 29.0ms | -3.871874659774559e-183 | -4.950160915714367e-184 |
| 42.0ms | -1.611274175930363e-133 | -4.506188653532653e-140 |
| 70.0ms | 197× | 2 | valid |
| 20.0ms | 159× | 0 | valid |
| 2.0ms | 11× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 519 to 484 computations (6.7% saved)
ival-pow2: 13.0ms (17% of total)ival-sub: 12.0ms (15.7% of total)ival-div: 12.0ms (15.7% of total)adjust: 11.0ms (14.4% of total)ival-sqrt: 9.0ms (11.8% of total)ival-mult: 9.0ms (11.8% of total)ival-atan: 5.0ms (6.5% of total)ival-add: 4.0ms (5.2% of total)ival-pi: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 3.8758772728079266e-118 | 3.8392261714040344e-115 |
| 29.0ms | -3.871874659774559e-183 | -4.950160915714367e-184 |
| 34.0ms | 103× | 2 | valid |
| 11.0ms | 102× | 0 | valid |
| 7.0ms | 17× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 309 to 304 computations (1.6% saved)
adjust: 9.0ms (20.4% of total)ival-pow2: 8.0ms (18.1% of total)ival-sub: 6.0ms (13.6% of total)ival-div: 6.0ms (13.6% of total)ival-mult: 5.0ms (11.3% of total)ival-sqrt: 4.0ms (9.1% of total)ival-atan: 3.0ms (6.8% of total)ival-add: 2.0ms (4.5% of total)ival-pi: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 3.8758772728079266e-118 | 3.8392261714040344e-115 |
| 17.0ms | 49× | 2 | valid |
| 8.0ms | 73× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 189 to 184 computations (2.6% saved)
ival-pow2: 4.0ms (19.2% of total)ival-sub: 3.0ms (14.4% of total)ival-div: 3.0ms (14.4% of total)adjust: 3.0ms (14.4% of total)ival-mult: 3.0ms (14.4% of total)ival-sqrt: 2.0ms (9.6% of total)ival-add: 1.0ms (4.8% of total)ival-atan: 1.0ms (4.8% 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 |
| 56× | *-commutative_binary64 |
| 34× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 808 |
| 1 | 206 | 808 |
| 2 | 225 | 808 |
| 3 | 236 | 808 |
| 4 | 241 | 808 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 #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 5902958103587057/147573952589676412928 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 1 binary64) (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (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 5902958103587057/147573952589676412928 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 #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 5902958103587057/147573952589676412928 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 #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 5902958103587057/147573952589676412928 binary64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #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 5902958103587057/147573952589676412928 binary64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #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 #s(literal 180 binary64) (PI.f64))) (*.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 -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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))))) |
(if (<=.f64 B #s(literal -3109642726491477/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B)))) (PI.f64)) (if (<=.f64 B #s(literal 8212282357089841/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (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 -1495020541582441/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 B #s(literal 576116746989721/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (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 -5740878879676573/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 B #s(literal 3621228318366551/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 C B) #s(literal -1 binary64))) (PI.f64))))) |
(if (<=.f64 B #s(literal -4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 B #s(literal 4692732775479909/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 73999999999999996404912657268736 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)))))) |
(if (<=.f64 B #s(literal -4363644053699907/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 6897783511005341/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) (if (<=.f64 B #s(literal 4826810854779335/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 31999999999999998258407391585370112 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))))) |
(if (<=.f64 B #s(literal -4910085911844213/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal -328904519148137/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (if (<=.f64 B #s(literal 6033329254406893/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 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 -1136215611602655/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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 1242156022966125/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 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 -1/2 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 5902958103587057/147573952589676412928 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 1 binary64) (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (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 5902958103587057/147573952589676412928 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))))) |
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(if (<=.f64 B #s(literal -4910085911844213/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal -328904519148137/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (if (<=.f64 B #s(literal 6033329254406893/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 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 -1136215611602655/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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 1242156022966125/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 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))) |
| 8 978× | accelerator-lowering-fma.f32 |
| 8 978× | accelerator-lowering-fma.f64 |
| 8 540× | accelerator-lowering-fma.f32 |
| 8 540× | accelerator-lowering-fma.f64 |
| 6 560× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 198 |
| 1 | 212 | 178 |
| 2 | 1547 | 178 |
| 0 | 8428 | 153 |
| 0 | 649 | 4231 |
| 1 | 2024 | 4036 |
| 2 | 6265 | 3996 |
| 0 | 8175 | 3465 |
| 0 | 83 | 3194 |
| 1 | 221 | 2923 |
| 2 | 558 | 2923 |
| 3 | 1393 | 2923 |
| 4 | 4249 | 2923 |
| 5 | 5980 | 2923 |
| 0 | 8130 | 2923 |
| 0 | 648 | 7370 |
| 1 | 1974 | 7187 |
| 2 | 6074 | 7138 |
| 0 | 8465 | 6486 |
| 0 | 31 | 120 |
| 1 | 156 | 120 |
| 2 | 1055 | 120 |
| 0 | 8578 | 120 |
| 0 | 17 | 80 |
| 1 | 120 | 76 |
| 2 | 983 | 76 |
| 0 | 8632 | 54 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 737 to 933 computations (46.3% saved)
Compiled 1 708 to 358 computations (79% saved)
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