
Time bar (total: 7.9s)
| 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)
| 721.0ms | 5 496× | 0 | valid |
| 702.0ms | 1 712× | 2 | valid |
| 299.0ms | 1 048× | 1 | valid |
ival-pow2: 265.0ms (18.2% of total)adjust: 236.0ms (16.2% of total)ival-div: 233.0ms (16% of total)ival-mult: 208.0ms (14.3% of total)ival-sub: 183.0ms (12.5% of total)ival-sqrt: 125.0ms (8.6% of total)ival-atan: 86.0ms (5.9% of total)ival-add: 73.0ms (5% of total)ival-pi: 31.0ms (2.1% of total)exact: 8.0ms (0.5% of total)ival-true: 6.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 150 | 0 | - | 1 | (-1.6217418152077918e-162 -2.9456739698881795e-243 1.7222361427344975e-258) | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 39 | 1 | (-1.6217418152077918e-162 -2.9456739698881795e-243 1.7222361427344975e-258) | 0 | - | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| 26 | 0 | - | 3 | (-3485370889768175.5 -6.792932570530852e-152 -1.3279360370519823e-126) | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 3 | 0 | - | 3 | (-7.512035109757895e+266 2.1384478049418292e-54 3.649878692739495e-188) | (*.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 | 146 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 58 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 107 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 146 | |
-.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 | 40 | 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 | 23 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | uflow-rescue | 3 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | underflow | 64 | |
| ↳ | (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 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 140 | 0 |
| - | 40 | 76 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 140 | 0 | 0 |
| - | 40 | 0 | 76 |
| number | freq |
|---|---|
| 0 | 76 |
| 1 | 148 |
| 2 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 79.0ms | 132× | 2 | valid |
| 42.0ms | 328× | 0 | valid |
| 15.0ms | 52× | 1 | valid |
Compiled 303 to 61 computations (79.9% saved)
adjust: 16.0ms (20.1% of total)ival-pow2: 14.0ms (17.6% of total)ival-sub: 11.0ms (13.9% of total)ival-div: 10.0ms (12.6% of total)ival-mult: 10.0ms (12.6% of total)ival-sqrt: 6.0ms (7.6% of total)ival-atan: 6.0ms (7.6% of total)ival-add: 4.0ms (5% of total)ival-pi: 2.0ms (2.5% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 219 |
| 1 | 158 | 199 |
| 2 | 305 | 199 |
| 3 | 633 | 199 |
| 4 | 985 | 199 |
| 5 | 1368 | 199 |
| 6 | 1619 | 199 |
| 7 | 1844 | 199 |
| 8 | 1899 | 199 |
| 0 | 19 | 23 |
| 0 | 32 | 23 |
| 1 | 46 | 21 |
| 2 | 65 | 21 |
| 3 | 123 | 21 |
| 4 | 187 | 21 |
| 5 | 248 | 21 |
| 6 | 303 | 21 |
| 7 | 371 | 21 |
| 8 | 410 | 21 |
| 0 | 410 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B))) |
Compiled 23 to 19 computations (17.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.9% | (*.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 23 to 19 computations (17.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) | |
| cost-diff | 1 | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | |
| cost-diff | 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)))))) | |
| cost-diff | 4 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 138 |
| 0 | 32 | 138 |
| 1 | 46 | 130 |
| 2 | 65 | 130 |
| 3 | 123 | 130 |
| 4 | 187 | 130 |
| 5 | 248 | 130 |
| 6 | 303 | 130 |
| 7 | 371 | 130 |
| 8 | 410 | 130 |
| 0 | 410 | 99 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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))) |
#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)) |
(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))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(-.f64 A C) |
#s(literal 2 binary64) |
(pow.f64 B #s(literal 2 binary64)) |
(PI.f64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B))) |
#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 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.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))))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(hypot.f64 (-.f64 A C) B) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(fma.f64 B B (pow.f64 (-.f64 A C) #s(literal 2 binary64))) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(-.f64 A C) |
#s(literal 2 binary64) |
(pow.f64 B #s(literal 2 binary64)) |
(*.f64 B B) |
(PI.f64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11736641528809086 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) | |
| accuracy | 5.322870012498772 | (*.f64 (/.f64 #s(literal 1 binary64) 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 | 8.80533311349354 | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) | |
| accuracy | 34.733449925706836 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 48.0ms | 66× | 2 | valid |
| 41.0ms | 164× | 0 | valid |
| 7.0ms | 26× | 1 | valid |
Compiled 140 to 21 computations (85% saved)
ival-sub: 27.0ms (34.1% of total)ival-div: 24.0ms (30.3% of total)adjust: 8.0ms (10.1% of total)ival-pow2: 7.0ms (8.8% of total)ival-mult: 5.0ms (6.3% of total)ival-sqrt: 3.0ms (3.8% of total)ival-atan: 3.0ms (3.8% of total)ival-add: 2.0ms (2.5% of total)ival-pi: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(*.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 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| Outputs |
|---|
(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)))))))))) |
(/ (- 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))))) |
(+ (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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(- 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)))) |
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))))))) |
(* -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))))) |
(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)))))) |
(* -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 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))))) |
(* 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 A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 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)) |
(- 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) |
(/ (- (* 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) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(- (* 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)) |
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 |
(- (/ 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))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* -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))))) |
(* -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 |
(- (+ 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 (* 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))) |
(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)))))))))) |
(* -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))))))))) |
(+ (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))) |
(* -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))))) |
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 (/ (+ 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))))))) |
(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)))))) |
(* -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)))))) |
(* -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))))) |
(* 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))))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 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))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | A | @ | 0 | ((sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 3.0ms | B | @ | inf | ((sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 3.0ms | A | @ | inf | ((sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 3.0ms | C | @ | -inf | ((sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 2.0ms | A | @ | -inf | ((sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 629 | 3038 |
| 1 | 2101 | 2854 |
| 0 | 8112 | 2527 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)))))))))) |
(/ (- 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))))) |
(+ (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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(- 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)))) |
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))))))) |
(* -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))))) |
(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)))))) |
(* -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 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))))) |
(* 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 A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 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)) |
(- 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) |
(/ (- (* 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) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(- (* 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)) |
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 |
(- (/ 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))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* -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))))) |
(* -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 |
(- (+ 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 (* 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))) |
(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)))))))))) |
(* -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))))))))) |
(+ (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))) |
(* -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))))) |
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 (/ (+ 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))))))) |
(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)))))) |
(* -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)))))) |
(* -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))))) |
(* 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))))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 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))) |
| Outputs |
|---|
(sqrt (+ (pow B 2) (pow C 2))) |
(hypot.f64 B C) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 (*.f64 A (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (hypot.f64 B 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (neg.f64 C))) A (hypot.f64 B 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (neg.f64 C)) (*.f64 (*.f64 A #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 3 binary64)))) (*.f64 C A)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C)))))))) A (hypot.f64 B C)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(/.f64 (-.f64 C (hypot.f64 B 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 (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (neg.f64 B)) A (/.f64 (-.f64 C (hypot.f64 B 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (/.f64 A B)) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (neg.f64 B))) A (/.f64 (-.f64 C (hypot.f64 B C)) B)) |
(- (+ (* 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))))) |
(fma.f64 (fma.f64 (*.f64 A #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 3 binary64)))) (*.f64 C A)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))))) B) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (neg.f64 B))) A (/.f64 (-.f64 C (hypot.f64 B C)) B)) |
(+ (pow B 2) (pow C 2)) |
(fma.f64 B B (*.f64 C C)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (*.f64 B B)) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (fma.f64 B B (*.f64 A A))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (hypot.f64 B C)) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (fma.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) A (hypot.f64 B C))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) A)) (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) A (-.f64 C (hypot.f64 B C))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 3 binary64)))) (*.f64 C A)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))))) A) (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) A (-.f64 C (hypot.f64 B C))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 C A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 B B) A) #s(literal -1/2 binary64) 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))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 C (pow.f64 A #s(literal 3 binary64))) (*.f64 B B) (*.f64 (/.f64 B A) (/.f64 B A))) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 C A))) A) |
(* -2 (/ A B)) |
(*.f64 (/.f64 A B) #s(literal -2 binary64)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (-.f64 (/.f64 (/.f64 C A) B) (fma.f64 (/.f64 (/.f64 C A) B) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B))) A) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) A) (/.f64 B A) (-.f64 (/.f64 (/.f64 C A) B) (fma.f64 (/.f64 (/.f64 C A) B) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B)))) A) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (*.f64 (/.f64 C (pow.f64 A #s(literal 3 binary64))) B)) (-.f64 (/.f64 (/.f64 C A) B) (fma.f64 (/.f64 (/.f64 C A) B) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B)))) A) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64)) A) A) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 B B (*.f64 C C)) A) A) (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 A A)) |
(* -2 A) |
(*.f64 #s(literal -2 binary64) A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) A) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 B B) A) #s(literal -1/2 binary64) C) A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) A) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (/.f64 C (pow.f64 A #s(literal 3 binary64))) (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 B B) A) #s(literal -1/2 binary64) C) A)))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(*.f64 (neg.f64 A) (-.f64 #s(literal 1 binary64) (/.f64 C A))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 B B) A) #s(literal -1/2 binary64) 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))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A))) A)) (neg.f64 A)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B 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)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 B A)) (*.f64 B C))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (*.f64 B A)) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) B))) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (/.f64 (fma.f64 B B (*.f64 C C)) (neg.f64 A))) A)) A) A) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)))) 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 (*.f64 #s(literal -1/2 binary64) B) B (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B B) C))) A)) (neg.f64 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 #s(literal -1/2 binary64) B) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (*.f64 B B) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) A) (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) A)) (neg.f64 A))) (neg.f64 A)) |
(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) B (-.f64 A C)) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (fma.f64 (*.f64 B (/.f64 B (pow.f64 (-.f64 A C) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (*.f64 B B) (-.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 (fma.f64 (fma.f64 (*.f64 B (/.f64 B (pow.f64 (-.f64 A C) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 3 binary64)))) (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (*.f64 B B) (-.f64 A C)) |
(/ (- (* 2 C) (* 2 A)) B) |
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
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(pow (- A C) 2) |
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B |
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C |
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(pow C 2) |
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#s(literal 0 binary64) |
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(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 (/.f64 (fma.f64 (/.f64 B C) #s(literal 1/2 binary64) (*.f64 (/.f64 A B) #s(literal -2 binary64))) C) #s(literal -1 binary64) (/.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 (neg.f64 C) (-.f64 (/.f64 (fma.f64 (/.f64 A B) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 B C) A B)) C)) (neg.f64 C)) (/.f64 #s(literal 2 binary64) B))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) A (/.f64 (fma.f64 B B (*.f64 A A)) (neg.f64 C))) C)) C) C) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) (PI.f64)) #s(literal 180 binary64)) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(*.f64 (neg.f64 C) (-.f64 (*.f64 (/.f64 A C) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(*.f64 (neg.f64 C) (-.f64 (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) A)) (neg.f64 C)) #s(literal 2 binary64))) |
(* -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 (/.f64 (fma.f64 #s(literal -2 binary64) A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B (/.f64 B C)) A (*.f64 B B))) (neg.f64 C))) (neg.f64 C)) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 74 |
| 0 | 32 | 74 |
| 1 | 126 | 70 |
| 2 | 876 | 70 |
| 0 | 8367 | 48 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(*.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 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (neg.f64 (hypot.f64 B (-.f64 A C))))) |
(*.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C)))) |
(*.f64 (pow.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (*.f64 B B))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 B #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (*.f64 B (-.f64 A C)) #s(literal 2 binary64))) (pow.f64 (-.f64 C A) #s(literal 4 binary64)))))) |
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))))) (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (*.f64 B B))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 B #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (*.f64 B (-.f64 A C)) #s(literal 2 binary64))) (pow.f64 (-.f64 C A) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (-.f64 C A) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (*.f64 B B))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 (-.f64 C A) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (*.f64 B (-.f64 A C)) #s(literal 2 binary64))) (pow.f64 (-.f64 C A) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (*.f64 B B)))) |
(/.f64 (hypot.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 B #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 (*.f64 B (-.f64 A C)) #s(literal 2 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 B #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (*.f64 B (-.f64 A C)) #s(literal 2 binary64))) (pow.f64 (-.f64 C A) #s(literal 4 binary64))))) |
(sqrt.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (hypot.f64 B (-.f64 A C)))) |
(fabs.f64 (hypot.f64 B (-.f64 A C))) |
(hypot.f64 (pow.f64 (-.f64 C A) #s(literal 1 binary64)) (pow.f64 (neg.f64 B) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (-.f64 C A) #s(literal 1 binary64)) (neg.f64 (neg.f64 B))) |
(hypot.f64 (pow.f64 (-.f64 C A) #s(literal 1 binary64)) (neg.f64 B)) |
(hypot.f64 (pow.f64 (-.f64 C A) #s(literal 1 binary64)) B) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 A C))) (pow.f64 (neg.f64 B) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 A C))) (neg.f64 (neg.f64 B))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 A C))) (neg.f64 B)) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 A C))) B) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 C A))) (pow.f64 (neg.f64 B) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 C A))) (neg.f64 (neg.f64 B))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 C A))) (neg.f64 B)) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 C A))) B) |
(hypot.f64 (pow.f64 (neg.f64 B) #s(literal 1 binary64)) (pow.f64 (-.f64 C A) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 B) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 A C)))) |
(hypot.f64 (pow.f64 (neg.f64 B) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 C A)))) |
(hypot.f64 (pow.f64 (neg.f64 B) #s(literal 1 binary64)) (pow.f64 (neg.f64 (-.f64 A C)) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 B) #s(literal 1 binary64)) (neg.f64 (-.f64 C A))) |
(hypot.f64 (pow.f64 (neg.f64 B) #s(literal 1 binary64)) (neg.f64 (-.f64 A C))) |
(hypot.f64 (pow.f64 (neg.f64 B) #s(literal 1 binary64)) (-.f64 C A)) |
(hypot.f64 (pow.f64 (neg.f64 B) #s(literal 1 binary64)) (-.f64 A C)) |
(hypot.f64 (pow.f64 (neg.f64 (-.f64 A C)) #s(literal 1 binary64)) (pow.f64 (neg.f64 B) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (-.f64 A C)) #s(literal 1 binary64)) (neg.f64 (neg.f64 B))) |
(hypot.f64 (pow.f64 (neg.f64 (-.f64 A C)) #s(literal 1 binary64)) (neg.f64 B)) |
(hypot.f64 (pow.f64 (neg.f64 (-.f64 A C)) #s(literal 1 binary64)) B) |
(hypot.f64 (neg.f64 (neg.f64 B)) (pow.f64 (-.f64 C A) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 B)) (neg.f64 (neg.f64 (-.f64 A C)))) |
(hypot.f64 (neg.f64 (neg.f64 B)) (neg.f64 (neg.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 (neg.f64 B)) (pow.f64 (neg.f64 (-.f64 A C)) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 B)) (neg.f64 (-.f64 C A))) |
(hypot.f64 (neg.f64 (neg.f64 B)) (neg.f64 (-.f64 A C))) |
(hypot.f64 (neg.f64 (neg.f64 B)) (-.f64 C A)) |
(hypot.f64 (neg.f64 (neg.f64 B)) (-.f64 A C)) |
(hypot.f64 (neg.f64 (-.f64 C A)) (pow.f64 (neg.f64 B) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (-.f64 C A)) (neg.f64 (neg.f64 B))) |
(hypot.f64 (neg.f64 (-.f64 C A)) (neg.f64 B)) |
(hypot.f64 (neg.f64 (-.f64 C A)) B) |
(hypot.f64 (neg.f64 (-.f64 A C)) (pow.f64 (neg.f64 B) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (-.f64 A C)) (neg.f64 (neg.f64 B))) |
(hypot.f64 (neg.f64 (-.f64 A C)) (neg.f64 B)) |
(hypot.f64 (neg.f64 (-.f64 A C)) B) |
(hypot.f64 (neg.f64 B) (pow.f64 (-.f64 C A) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 B) (neg.f64 (neg.f64 (-.f64 A C)))) |
(hypot.f64 (neg.f64 B) (neg.f64 (neg.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 B) (pow.f64 (neg.f64 (-.f64 A C)) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 B) (neg.f64 (-.f64 C A))) |
(hypot.f64 (neg.f64 B) (neg.f64 (-.f64 A C))) |
(hypot.f64 (neg.f64 B) (-.f64 C A)) |
(hypot.f64 (neg.f64 B) (-.f64 A C)) |
(hypot.f64 (-.f64 C A) (pow.f64 (neg.f64 B) #s(literal 1 binary64))) |
(hypot.f64 (-.f64 C A) (neg.f64 (neg.f64 B))) |
(hypot.f64 (-.f64 C A) (neg.f64 B)) |
(hypot.f64 (-.f64 C A) B) |
(hypot.f64 B (pow.f64 (-.f64 C A) #s(literal 1 binary64))) |
(hypot.f64 B (neg.f64 (neg.f64 (-.f64 A C)))) |
(hypot.f64 B (neg.f64 (neg.f64 (-.f64 C A)))) |
(hypot.f64 B (pow.f64 (neg.f64 (-.f64 A C)) #s(literal 1 binary64))) |
(hypot.f64 B (neg.f64 (-.f64 C A))) |
(hypot.f64 B (neg.f64 (-.f64 A C))) |
(hypot.f64 B (-.f64 C A)) |
(hypot.f64 B (-.f64 A C)) |
(hypot.f64 (-.f64 A C) (pow.f64 (neg.f64 B) #s(literal 1 binary64))) |
(hypot.f64 (-.f64 A C) (neg.f64 (neg.f64 B))) |
(hypot.f64 (-.f64 A C) (neg.f64 B)) |
(hypot.f64 (-.f64 A C) B) |
(exp.f64 (log.f64 (hypot.f64 B (-.f64 A C)))) |
(+.f64 (cosh.f64 (log.f64 (hypot.f64 B (-.f64 A C)))) (sinh.f64 (log.f64 (hypot.f64 B (-.f64 A C))))) |
(*.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) (sqrt.f64 B)) (/.f64 #s(literal 1 binary64) (sqrt.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 B)) (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) (sqrt.f64 B))) |
(*.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) (pow.f64 B #s(literal -1 binary64))) |
(*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64))) (pow.f64 B #s(literal -1 binary64)))) (neg.f64 (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64))) (pow.f64 B #s(literal -1 binary64)))) (neg.f64 (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) #s(literal -1 binary64))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64))))) (neg.f64 (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (neg.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) B))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))) (neg.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))) B))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 B) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 B) (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64))))) (neg.f64 (*.f64 B (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64))))) (neg.f64 (*.f64 B (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)) (neg.f64 (neg.f64 B)))) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)) B)) |
(/.f64 (*.f64 (-.f64 (pow.f64 C #s(literal 3 binary64)) (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 C C (+.f64 (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 2 binary64)) (*.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)))) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (pow.f64 C #s(literal 3 binary64)) (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 C C (+.f64 (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 2 binary64)) (*.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)))) (neg.f64 (neg.f64 B)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 C #s(literal 3 binary64)) (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 C C (+.f64 (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 2 binary64)) (*.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)))) B)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64)))) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64)))) (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64))) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64))) (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 C C) (+.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A))) (/.f64 (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 2 binary64)) (+.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)))) |
(-.f64 (/.f64 (pow.f64 C #s(literal 3 binary64)) (fma.f64 C C (+.f64 (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 2 binary64)) (*.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A))))) (/.f64 (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 3 binary64)) (fma.f64 C C (+.f64 (pow.f64 (+.f64 (hypot.f64 B (-.f64 A C)) A) #s(literal 2 binary64)) (*.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) (/.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 2 binary64)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 C A) #s(literal 3 binary64)) (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) (/.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 3 binary64)) (fma.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
(-.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)) |
(+.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) (/.f64 (*.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (-.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) |
(+.f64 (-.f64 C A) (*.f64 (neg.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1/2 binary64)))) |
Compiled 16 615 to 3 099 computations (81.3% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 418 | 17 | 435 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 419 | 17 | 436 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.7% | (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64)) |
| 50.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64))) | |
| ▶ | 49.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
| 48.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (*.f64 B B)))))) (PI.f64))) | |
| 22.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) B) B (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B B) C))) A)) (neg.f64 A))))) (PI.f64))) | |
| 26.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64))))) (PI.f64))) | |
| ▶ | 24.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) |
| 34.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) | |
| 34.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) (PI.f64))) | |
| 15.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) | |
| 48.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) | |
| 49.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) | |
| 22.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) | |
| ▶ | 28.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) | |
| 20.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) | |
| ▶ | 19.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
Compiled 1 040 to 800 computations (23.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) | |
| cost-diff | 1 | (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)) | |
| cost-diff | 2 | (/.f64 #s(literal 0 binary64) B) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) | |
| cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) | |
| cost-diff | 0 | (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 609 |
| 0 | 91 | 537 |
| 1 | 153 | 500 |
| 2 | 259 | 500 |
| 3 | 402 | 500 |
| 4 | 557 | 500 |
| 5 | 697 | 500 |
| 6 | 817 | 500 |
| 7 | 859 | 500 |
| 8 | 867 | 500 |
| 0 | 867 | 493 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) |
(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
(-.f64 C A) |
C |
A |
(hypot.f64 B (-.f64 A C)) |
B |
(-.f64 A C) |
#s(literal 180 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(/.f64 B A) |
B |
A |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B))) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)) |
(/.f64 B C) |
B |
C |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 0 binary64) B) |
#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) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) |
(fma.f64 B B (*.f64 A A)) |
(*.f64 A A) |
(PI.f64) |
| Outputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) |
(/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B) |
(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
(-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) |
(-.f64 C A) |
C |
A |
(hypot.f64 B (-.f64 A C)) |
(hypot.f64 (-.f64 A C) B) |
B |
(-.f64 A C) |
#s(literal 180 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
(/.f64 B A) |
B |
A |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(/.f64 B C) |
B |
C |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 0 binary64) B) |
#s(literal 0 binary64) |
#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) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) B))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) B)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) |
(fma.f64 B B (*.f64 A A)) |
(*.f64 A A) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.322870012498772 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) | |
| accuracy | 8.80533311349354 | (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) | |
| accuracy | 17.1292621666652 | #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) | |
| accuracy | 34.733449925706836 | (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) | |
| accuracy | 0.015625 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) | |
| accuracy | 0.07421875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64)) | |
| accuracy | 0.11736641528809086 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) | |
| accuracy | 51.08893738661495 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B))) | |
| accuracy | 0.015625 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) | |
| accuracy | 0.07421875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) | |
| accuracy | 0.11736641528809086 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) | |
| accuracy | 50.04082338274786 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) | |
| accuracy | 0.015625 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) | |
| accuracy | 0.07421875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) | |
| accuracy | 0.11736641528809086 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) | |
| accuracy | 52.953253341312895 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) | |
| accuracy | 0.0703125 | (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 0.11428667126051817 | (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) | |
| accuracy | 5.183866252730329 | (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) | |
| accuracy | 8.80533311349354 | (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
| 74.0ms | 66× | 2 | valid |
| 57.0ms | 164× | 0 | valid |
| 42.0ms | 26× | 1 | valid |
Compiled 538 to 39 computations (92.8% saved)
ival-mult: 42.0ms (29.6% of total)ival-div: 33.0ms (23.3% of total)ival-pow2: 21.0ms (14.8% of total)adjust: 14.0ms (9.9% of total)ival-sub: 9.0ms (6.3% of total)ival-hypot: 9.0ms (6.3% of total)ival-add: 5.0ms (3.5% of total)ival-atan: 5.0ms (3.5% of total)ival-sqrt: 3.0ms (2.1% of total)ival-pi: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 0 binary64) B) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) |
(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) |
| Outputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) 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))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(- 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)))) |
(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)))))))))) |
(+ (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))) |
(* -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))))) |
(* -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))))))) |
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))))))) |
(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)))))) |
(* 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))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) 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)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 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 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))))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(/ (- (* 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) |
0 |
(* -1/2 (/ B C)) |
(- (* 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)) |
(- 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) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
-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 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 |
(* 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))))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
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 (* 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))) |
(* -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)))) 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 (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))))) |
(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)))))))))) |
(+ (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))) |
(* -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))))))) |
(* -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)))))) |
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))))))) |
(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)))))) |
(* 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)))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(* 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))) |
(* -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))))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | A | @ | 0 | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (* 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)))))) (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))))) (* 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)))))) (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))))) (/ 0 B) (+ (* (/ B C) -1/2) (/ 0 B)) (* 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)))))) (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 3.0ms | B | @ | inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (* 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)))))) (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))))) (* 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)))))) (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))))) (/ 0 B) (+ (* (/ B C) -1/2) (/ 0 B)) (* 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)))))) (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 2.0ms | B | @ | -inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (* 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)))))) (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))))) (* 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)))))) (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))))) (/ 0 B) (+ (* (/ B C) -1/2) (/ 0 B)) (* 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)))))) (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 2.0ms | C | @ | inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (* 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)))))) (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))))) (* 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)))))) (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))))) (/ 0 B) (+ (* (/ B C) -1/2) (/ 0 B)) (* 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)))))) (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 2.0ms | C | @ | 0 | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (* 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)))))) (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))))) (* 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)))))) (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))))) (/ 0 B) (+ (* (/ B C) -1/2) (/ 0 B)) (* 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)))))) (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 633 | 3221 |
| 1 | 2104 | 3028 |
| 0 | 8114 | 2656 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) 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))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(- 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)))) |
(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)))))))))) |
(+ (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))) |
(* -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))))) |
(* -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))))))) |
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))))))) |
(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)))))) |
(* 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))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) 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)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 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 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))))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(/ (- (* 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) |
0 |
(* -1/2 (/ B C)) |
(- (* 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)) |
(- 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) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
-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 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 |
(* 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))))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
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 (* 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))) |
(* -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)))) 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 (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))))) |
(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)))))))))) |
(+ (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))) |
(* -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))))))) |
(* -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)))))) |
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))))))) |
(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)))))) |
(* 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)))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(* 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))) |
(* -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))))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
| Outputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) #s(literal 180 binary64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(/.f64 (-.f64 C (hypot.f64 B 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 (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (neg.f64 B)) A (/.f64 (-.f64 C (hypot.f64 B 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (/.f64 A B)) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (neg.f64 B))) A (/.f64 (-.f64 C (hypot.f64 B C)) B)) |
(- (+ (* 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))))) |
(fma.f64 (fma.f64 (*.f64 A #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))))) B) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (neg.f64 B))) A (/.f64 (-.f64 C (hypot.f64 B C)) B)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (hypot.f64 B C)) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (fma.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) A (hypot.f64 B C))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) A)) (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) A (-.f64 C (hypot.f64 B C))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))))) A) (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) A (-.f64 C (hypot.f64 B C))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(hypot.f64 B C) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 (*.f64 A (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (hypot.f64 B 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (neg.f64 C))) A (hypot.f64 B 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (neg.f64 C)) (*.f64 (*.f64 A #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C)))))))) A (hypot.f64 B C)) |
(+ (pow B 2) (pow C 2)) |
(fma.f64 B B (*.f64 C C)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (*.f64 B B)) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) C A) A (fma.f64 B B (*.f64 C C))) |
(* -2 (/ A B)) |
(*.f64 (/.f64 A B) #s(literal -2 binary64)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (-.f64 (/.f64 (/.f64 C B) A) (fma.f64 (/.f64 (/.f64 C B) A) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B))) A) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) A) (/.f64 B A) (-.f64 (/.f64 (/.f64 C B) A) (fma.f64 (/.f64 (/.f64 C B) A) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B)))) A) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (*.f64 (/.f64 C (pow.f64 A #s(literal 3 binary64))) B)) (-.f64 (/.f64 (/.f64 C B) A) (fma.f64 (/.f64 (/.f64 C B) A) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B)))) A) |
(* -2 A) |
(*.f64 #s(literal -2 binary64) A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) A) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) C) A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) A) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (/.f64 C (pow.f64 A #s(literal 3 binary64))) (/.f64 C A)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) C) A))) A) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 C A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) 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))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 C (pow.f64 A #s(literal 3 binary64))) (*.f64 B B) (*.f64 B (/.f64 B (*.f64 A A)))) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 C A))) A) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64)) A) A) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
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(-.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A)))))) (neg.f64 A)) #s(literal 1 binary64)) C) (+.f64 (hypot.f64 B A) A)) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))))) C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) A #s(literal 1 binary64))) C) (+.f64 (hypot.f64 B A) A)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(hypot.f64 B A) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 (*.f64 C (neg.f64 A)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (hypot.f64 B A)) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A))))) (neg.f64 A))) C (hypot.f64 B A)) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A))))) (neg.f64 A)) (*.f64 (*.f64 C #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A)))))))) C (hypot.f64 B A)) |
(+ (pow A 2) (pow B 2)) |
(fma.f64 B B (*.f64 A A)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) C A) A (*.f64 B B)) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) C A) A (fma.f64 B B (*.f64 C C))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(/.f64 #s(literal 0 binary64) B) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 A) A) B) B (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 C #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) B))) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(fma.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) A) (/.f64 (*.f64 B (/.f64 B C)) C)) (fma.f64 (*.f64 B (/.f64 B C)) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 A) A) B) B (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 C #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) A (*.f64 B B)) C) #s(literal 0 binary64))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64) 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 (fma.f64 (fma.f64 (/.f64 B C) (/.f64 B C) (*.f64 (*.f64 B B) (/.f64 A (pow.f64 C #s(literal 3 binary64))))) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 A C))) C) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64)) C) C) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 B B (*.f64 A A)) C) C) (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 C C)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) #s(literal 180 binary64)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) |
(* 2 (/ C B)) |
(*.f64 (/.f64 C B) #s(literal 2 binary64)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 (/.f64 #s(literal 2 binary64) C) (/.f64 A B) (/.f64 #s(literal -2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 (/.f64 (fma.f64 (/.f64 B C) #s(literal 1/2 binary64) (*.f64 (/.f64 A B) #s(literal -2 binary64))) C) #s(literal -1 binary64) (/.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 (neg.f64 C) (-.f64 (/.f64 (fma.f64 (/.f64 A B) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 B C) A B)) C)) (neg.f64 C)) (/.f64 #s(literal 2 binary64) B))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) (PI.f64)) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(*.f64 (neg.f64 C) (-.f64 (*.f64 (/.f64 A C) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(*.f64 (neg.f64 C) (-.f64 (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) A)) (neg.f64 C)) #s(literal 2 binary64))) |
(* -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 (/.f64 (fma.f64 #s(literal -2 binary64) A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B (/.f64 B C)) A (*.f64 B B))) (neg.f64 C))) (neg.f64 C)) #s(literal 2 binary64))) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(*.f64 (neg.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 A C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(*.f64 (neg.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64) A) C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(*.f64 (neg.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B (/.f64 B C)) A (*.f64 B B))) C) A) C))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) A (/.f64 (fma.f64 B B (*.f64 A A)) (neg.f64 C))) C)) C) C) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 547 |
| 0 | 91 | 475 |
| 1 | 309 | 424 |
| 2 | 2046 | 424 |
| 0 | 8241 | 424 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 0 binary64) B) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) |
(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (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) (hypot.f64 (-.f64 A C) B)) B))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))))) (neg.f64 (neg.f64 (neg.f64 (PI.f64))))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (*.f64 #s(literal -180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64)) |
(neg.f64 (/.f64 (*.f64 #s(literal -180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64))) |
(neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (neg.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) #s(literal 180 binary64)) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B))) B))) |
(neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) (neg.f64 B)))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) |
(*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) |
(*.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) (pow.f64 B #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)))) (neg.f64 (neg.f64 B))) |
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(-.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (fma.f64 (hypot.f64 (-.f64 A C) B) (-.f64 C (-.f64 A (hypot.f64 (-.f64 A C) B))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) (/.f64 (pow.f64 (hypot.f64 (-.f64 A C) B) #s(literal 3 binary64)) (fma.f64 (hypot.f64 (-.f64 A C) B) (-.f64 C (-.f64 A (hypot.f64 (-.f64 A C) B))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) |
(-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) |
(fabs.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) |
(*.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) |
(sqrt.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) |
(*.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (pow.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A) #s(literal 2 binary64)))) (neg.f64 (+.f64 C (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 C #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A) #s(literal 3 binary64)))) (neg.f64 (fma.f64 C C (+.f64 (pow.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A) #s(literal 2 binary64)) (*.f64 C (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))))) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A))) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A)) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A) #s(literal 2 binary64))) (+.f64 C (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A))) |
(/.f64 (-.f64 (pow.f64 C #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A) #s(literal 3 binary64))) (fma.f64 C C (+.f64 (pow.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A) #s(literal 2 binary64)) (*.f64 C (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A))) |
(/.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A))) (/.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) |
(-.f64 C (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A)))) A)) |
Compiled 20 464 to 2 938 computations (85.6% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 481 | 17 | 498 |
| Fresh | 11 | 1 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 495 | 20 | 515 |
| Status | Accuracy | Program |
|---|---|---|
| 28.4% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) | |
| 24.4% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) | |
| ▶ | 24.5% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
| 49.6% | (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 21.5% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) B) B (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B C) B))) A)) (neg.f64 A))) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 29.8% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)))) A)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 22.3% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal 2 binary64) C)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 23.2% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal -2 binary64) A)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 15.6% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 34.6% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) | |
| 34.5% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) #s(literal 180 binary64)) (PI.f64)) | |
| ▶ | 48.3% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| 49.7% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| ▶ | 28.8% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| ▶ | 20.8% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
| 24.6% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) | |
| 24.7% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) | |
| ▶ | 50.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64))) |
| ✓ | 28.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
| ✓ | 19.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
Compiled 1 216 to 866 computations (28.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) | |
| cost-diff | 4 | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) | |
| cost-diff | 0 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64))) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 682 |
| 0 | 91 | 658 |
| 1 | 152 | 636 |
| 2 | 264 | 636 |
| 3 | 460 | 636 |
| 4 | 750 | 636 |
| 5 | 1101 | 636 |
| 6 | 1389 | 636 |
| 7 | 1557 | 636 |
| 8 | 1565 | 636 |
| 0 | 1565 | 544 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
(*.f64 C C) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(/.f64 B A) |
B |
A |
#s(literal 1/2 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
#s(literal 1 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
#s(literal 180 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
(*.f64 C C) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64)))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
(/.f64 B A) |
B |
A |
#s(literal 1/2 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
#s(literal 1 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(*.f64 (/.f64 B C) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
#s(literal 180 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) | |
| accuracy | 0.11428667126051817 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 51.08893738661495 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) | |
| accuracy | 0.015625 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) | |
| accuracy | 0.0703125 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 0.11428667126051817 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) | |
| accuracy | 45.929845258766974 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) | |
| accuracy | 0.0703125 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 0.11428667126051817 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) | |
| accuracy | 50.04082338274786 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) | |
| accuracy | 0.015625 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) | |
| accuracy | 0.0703125 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 0.11428667126051817 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) | |
| accuracy | 52.032459306686796 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64)) | |
| accuracy | 5.322870012498772 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) | |
| accuracy | 8.80533311349354 | (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) | |
| accuracy | 18.404118244273555 | #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) | |
| accuracy | 34.733449925706836 | (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
| 74.0ms | 66× | 2 | valid |
| 56.0ms | 164× | 0 | valid |
| 19.0ms | 26× | 1 | valid |
Compiled 542 to 41 computations (92.4% saved)
ival-div: 22.0ms (22.7% of total)ival-mult: 18.0ms (18.6% of total)adjust: 15.0ms (15.5% of total)ival-pow2: 10.0ms (10.3% of total)ival-sub: 9.0ms (9.3% of total)ival-hypot: 8.0ms (8.3% of total)ival-sqrt: 5.0ms (5.2% of total)ival-atan: 5.0ms (5.2% of total)ival-add: 3.0ms (3.1% of total)ival-pi: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
(/ (- 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))))) |
(* 180 (/ (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)) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(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)))))))))) |
(+ (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))) |
(- 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 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))))) |
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))))))) |
(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)))))) |
(* -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 (/ 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 (* -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)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* -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))))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -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)) 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) |
(- 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) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(- (* 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 |
(- (/ 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))) |
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))))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* -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))))) |
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 (* 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 (* 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))) |
(* -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))))))))) |
(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)))))))))) |
(+ (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))) |
(* -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)) 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))))))) |
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))))))) |
(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)))))) |
(* -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 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))))) |
(* 180 (/ (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))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* -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))))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) 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))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | B | @ | 0 | ((* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (sqrt (PI))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (PI))) |
| 3.0ms | A | @ | 0 | ((* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (sqrt (PI))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (PI))) |
| 2.0ms | A | @ | -inf | ((* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (sqrt (PI))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (PI))) |
| 2.0ms | B | @ | inf | ((* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (sqrt (PI))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (PI))) |
| 2.0ms | B | @ | -inf | ((* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (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)))))) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (sqrt (PI))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (PI))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 640 | 3295 |
| 1 | 2122 | 3095 |
| 0 | 8145 | 2708 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 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))))) |
(* 180 (/ (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)) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(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)))))))))) |
(+ (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))) |
(- 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 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))))) |
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))))))) |
(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)))))) |
(* -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 (/ 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 (* -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)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* -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))))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -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)) 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) |
(- 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) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(- (* 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 |
(- (/ 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))) |
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))))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* -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))))) |
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 (* 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 (* 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))) |
(* -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))))))))) |
(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)))))))))) |
(+ (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))) |
(* -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)) 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))))))) |
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))))))) |
(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)))))) |
(* -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 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))))) |
(* 180 (/ (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))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* -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))))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) 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))) |
| Outputs |
|---|
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(/.f64 (-.f64 C (hypot.f64 C B)) 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 (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 B)) A (/.f64 (-.f64 C (hypot.f64 C B)) 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (/.f64 A B)) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 B))) A (/.f64 (-.f64 C (hypot.f64 C B)) B)) |
(- (+ (* 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))))) |
(fma.f64 (fma.f64 (*.f64 A #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))))) B) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 B))) A (/.f64 (-.f64 C (hypot.f64 C B)) B)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) #s(literal 180 binary64)) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(hypot.f64 C B) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 (*.f64 A (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (hypot.f64 C B)) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (neg.f64 C))) A (hypot.f64 C B)) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (neg.f64 C)) (*.f64 (*.f64 A #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B)))))))) A (hypot.f64 C B)) |
(+ (pow B 2) (pow C 2)) |
(fma.f64 C C (*.f64 B B)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (*.f64 B B)) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) C A) A (fma.f64 C C (*.f64 B B))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (hypot.f64 C B)) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (fma.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64)) A (hypot.f64 C B))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) A)) (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64))) A (-.f64 C (hypot.f64 C B))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B))))))) A) (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64))) A (-.f64 C (hypot.f64 C B))) |
(* -2 (/ A B)) |
(*.f64 (/.f64 A B) #s(literal -2 binary64)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (-.f64 (/.f64 (/.f64 C B) A) (fma.f64 (/.f64 (/.f64 C B) A) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B))) A) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) A) (/.f64 B A) (-.f64 (/.f64 (/.f64 C B) A) (fma.f64 (/.f64 (/.f64 C B) A) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B)))) A) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (*.f64 (/.f64 C (pow.f64 A #s(literal 3 binary64))) B)) (-.f64 (/.f64 (/.f64 C B) A) (fma.f64 (/.f64 (/.f64 C B) A) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B)))) A) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 C A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) 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))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 C (pow.f64 A #s(literal 3 binary64))) (*.f64 B B) (*.f64 B (/.f64 B (*.f64 A A)))) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 C A))) A) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64)) A) A) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 C C (*.f64 B B)) A) A) (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 A A)) |
(* -2 A) |
(*.f64 #s(literal -2 binary64) A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) A) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) C) A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) A) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (/.f64 C (pow.f64 A #s(literal 3 binary64))) (/.f64 C A)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) C) A))) A) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B 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)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 A B)) (*.f64 C B))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (*.f64 A B)) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) B))) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B)) (/.f64 #s(literal 180 binary64) (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) (hypot.f64 (-.f64 C A) B)) B)) (PI.f64)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B)) #s(literal 180 binary64)) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(*.f64 (neg.f64 A) (-.f64 #s(literal 1 binary64) (/.f64 C A))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) 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))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 C (*.f64 B (/.f64 B A)) (*.f64 B B)) A))) A)) (neg.f64 A)) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (/.f64 (fma.f64 C C (*.f64 B B)) (neg.f64 A))) A)) A) A) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 C (*.f64 B (/.f64 B A)) (*.f64 B B)))) A) |
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(+ (pow A 2) (pow B 2)) |
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C |
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(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64)) C) C) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 A A (*.f64 B B)) C) C) (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 C C)) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(fma.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) A) (*.f64 (/.f64 B C) (/.f64 B C))) (fma.f64 (*.f64 B (/.f64 B C)) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 A) A) B) B (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 C #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) A (*.f64 B B)) C) #s(literal 0 binary64))) |
(* 2 (/ C B)) |
(*.f64 (/.f64 C B) #s(literal 2 binary64)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 (/.f64 #s(literal 2 binary64) C) (/.f64 A B) (/.f64 #s(literal -2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 (/.f64 (fma.f64 (/.f64 B C) #s(literal 1/2 binary64) (*.f64 (/.f64 A B) #s(literal -2 binary64))) C) #s(literal -1 binary64) (/.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 (neg.f64 C) (-.f64 (/.f64 (fma.f64 (/.f64 A B) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 B C) A B)) C)) (neg.f64 C)) (/.f64 #s(literal 2 binary64) B))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) (PI.f64)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) #s(literal 180 binary64)) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 (-.f64 A C) B) C) A) (neg.f64 B))) #s(literal 180 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(*.f64 (neg.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 A C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(*.f64 (neg.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64) A) C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 (neg.f64 C) (/.f64 (-.f64 A (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) A (*.f64 B B)) C))) C) C)) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) A (/.f64 (fma.f64 A A (*.f64 B B)) (neg.f64 C))) C)) C) C) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(*.f64 (neg.f64 C) (-.f64 (*.f64 (/.f64 A C) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(*.f64 (neg.f64 C) (-.f64 (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) A)) (neg.f64 C)) #s(literal 2 binary64))) |
(* -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 (/.f64 (fma.f64 #s(literal -2 binary64) A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B (/.f64 B C)) A (*.f64 B B))) (neg.f64 C))) (neg.f64 C)) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 611 |
| 0 | 91 | 583 |
| 1 | 302 | 565 |
| 2 | 2053 | 565 |
| 0 | 8310 | 466 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
(*.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) (pow.f64 B #s(literal -1 binary64))) |
(*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 B #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64))) (pow.f64 B #s(literal -1 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) (neg.f64 B)) |
(/.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) (neg.f64 B)) |
(/.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A))) |
(/.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) (neg.f64 B)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)) B)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))) B)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) (*.f64 (neg.f64 B) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64)))) (*.f64 (neg.f64 B) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) (*.f64 B (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64)))) (*.f64 B (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) |
(*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) #s(literal 180 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) #s(literal 180 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) (neg.f64 (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(neg.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) (PI.f64))) |
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(fabs.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) |
(*.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(sqrt.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
(*.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A))) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) A) #s(literal 2 binary64))) (+.f64 C (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) A))) |
(/.f64 (-.f64 (pow.f64 C #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) A) #s(literal 3 binary64))) (fma.f64 C C (+.f64 (pow.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) A) #s(literal 2 binary64)) (*.f64 C (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) A))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A))) |
(/.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A))) (/.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
(-.f64 C (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) A)) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.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)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(sqrt.f64 (PI.f64)) |
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (PI.f64)))) (sinh.f64 (log.f64 (sqrt.f64 (PI.f64))))) |
Compiled 13 851 to 1 832 computations (86.8% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 6 | 338 |
| Fresh | 4 | 9 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 1 | 2 |
| Total | 338 | 20 | 358 |
| Status | Accuracy | Program |
|---|---|---|
| 24.4% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) | |
| 28.4% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) | |
| 24.7% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64))) | |
| ✓ | 24.5% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
| 49.6% | (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 21.5% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) B) B (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B C) B))) A)) (neg.f64 A))) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 22.3% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal 2 binary64) C)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 23.2% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal -2 binary64) A)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| ▶ | 15.6% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
| ▶ | 34.6% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) |
| 34.5% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) #s(literal 180 binary64)) (PI.f64)) | |
| ✓ | 48.3% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| ▶ | 49.7% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| ▶ | 24.6% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| ✓ | 28.8% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| ✓ | 20.8% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
| ▶ | 50.0% | (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
| 24.7% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) | |
| 28.8% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) | |
| ✓ | 19.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
Compiled 1 117 to 783 computations (29.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 1 | (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)) | |
| cost-diff | 2 | (/.f64 #s(literal 0 binary64) B) | |
| cost-diff | 0 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B) | |
| cost-diff | 0 | (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) | |
| cost-diff | 0 | (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) | |
| cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) | |
| cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 712 |
| 0 | 88 | 666 |
| 1 | 149 | 661 |
| 2 | 283 | 661 |
| 3 | 535 | 661 |
| 4 | 1193 | 661 |
| 5 | 2756 | 661 |
| 6 | 4016 | 661 |
| 7 | 4599 | 661 |
| 8 | 5415 | 661 |
| 9 | 6441 | 661 |
| 10 | 7308 | 661 |
| 11 | 7705 | 661 |
| 0 | 8001 | 569 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
(PI.f64) |
#s(literal 180 binary64) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B) |
#s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
B |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 B C) #s(literal -1/2 binary64)) |
(/.f64 B C) |
B |
C |
#s(literal -1/2 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
#s(literal 1 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (/.f64 B C) A B) C) |
(fma.f64 (/.f64 B C) A B) |
(/.f64 B C) |
B |
C |
A |
(/.f64 #s(literal 0 binary64) B) |
#s(literal 0 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
| Outputs |
|---|
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
(PI.f64) |
#s(literal 180 binary64) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B))) |
(*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B) |
#s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
B |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(*.f64 (/.f64 B C) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(/.f64 B C) |
B |
C |
#s(literal -1/2 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
(+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
#s(literal 1 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B)))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (/.f64 B C) A B) C) |
(fma.f64 (/.f64 B C) A B) |
(/.f64 B C) |
B |
C |
A |
(/.f64 #s(literal 0 binary64) B) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 180 binary64) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11428667126051817 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) | |
| accuracy | 1.0167316221181377 | (/.f64 (fma.f64 (/.f64 B C) A B) C) | |
| accuracy | 3.8527553156316894 | (fma.f64 (/.f64 B C) A B) | |
| accuracy | 50.75895286844879 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B))) | |
| accuracy | 0.015625 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) | |
| accuracy | 0.0703125 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 0.11428667126051817 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) | |
| accuracy | 45.034339450991844 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) | |
| accuracy | 0.0703125 | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 0.11428667126051817 | (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) | |
| accuracy | 51.08893738661495 | #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) | |
| accuracy | 0.0703125 | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 0.11428667126051817 | (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) | |
| accuracy | 5.183866252730329 | (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B) | |
| accuracy | 48.87082715619322 | #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) | |
| accuracy | 5.183866252730329 | (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) | |
| accuracy | 8.80533311349354 | (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) | |
| accuracy | 18.404118244273555 | #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) | |
| accuracy | 34.733449925706836 | (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
| 107.0ms | 66× | 2 | valid |
| 73.0ms | 164× | 0 | valid |
| 17.0ms | 26× | 1 | valid |
Compiled 548 to 40 computations (92.7% saved)
ival-div: 44.0ms (28% of total)ival-hypot: 39.0ms (24.9% of total)ival-mult: 24.0ms (15.3% of total)adjust: 18.0ms (11.5% of total)ival-sub: 8.0ms (5.1% of total)ival-add: 8.0ms (5.1% of total)ival-pow2: 7.0ms (4.5% of total)ival-atan: 5.0ms (3.2% of total)ival-sqrt: 3.0ms (1.9% of total)ival-pi: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(/.f64 #s(literal 0 binary64) B) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
#s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B))) |
(fma.f64 (/.f64 B C) A B) |
(/.f64 (fma.f64 (/.f64 B C) A B) C) |
| Outputs |
|---|
(* 180 (/ (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)) |
(/ (- 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))))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 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)))))))))) |
(+ (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))) |
(- 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)))) |
B |
(+ B (/ (* A B) C)) |
(/ B C) |
(+ (/ B C) (/ (* A B) (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 (/ (* A B) (pow C 2))) |
(* A (+ (* -1/2 (/ B (* A C))) (* -1/2 (/ B (pow C 2))))) |
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))))))) |
(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)))))) |
(* -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))))))) |
(/ (* A B) C) |
(* A (+ (/ B A) (/ B C))) |
(/ (* A B) (pow C 2)) |
(* A (+ (/ B (* A C)) (/ B (pow C 2)))) |
(* 180 (/ (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)) |
(* 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 (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* -1 (* A (+ (* 1/2 (/ B (* A C))) (* 1/2 (/ B (pow C 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))))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -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 (* A (+ (* -1 (/ B A)) (* -1 (/ B C))))) |
(* -1 (* A (+ (* -1 (/ B (* A C))) (* -1 (/ B (pow C 2)))))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
0 |
(* -1/2 (/ (* B (+ 1 (/ A 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) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(- (* 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)) |
(* B (+ 1 (/ A C))) |
(/ (* B (+ 1 (/ A C))) C) |
-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))) |
(* 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))))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* -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))))) |
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))) |
(* 1/2 (/ (* B (- (* -1 (/ A C)) 1)) C)) |
(* -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 (* 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))) |
(* -1 (* B (- (* -1 (/ A C)) 1))) |
(* -1 (/ (* B (- (* -1 (/ A C)) 1)) C)) |
(* -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))))))))) |
(/ (+ (* -1/2 (* A B)) (* -1/2 (* B C))) (pow C 2)) |
(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)))))))))) |
(+ (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))) |
(* -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))))) |
(/ (+ (* A B) (* B C)) C) |
(/ (+ (* A B) (* B C)) (pow C 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))))))) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
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))))))) |
(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)))))) |
(* -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)))))) |
(/ (+ B (/ (* A B) C)) C) |
(* 180 (/ (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))) |
(* 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))))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -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))))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) 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))) |
(* -1 (/ (+ (* -1 B) (* -1 (/ (* A B) C))) C)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | B | @ | 0 | ((* (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) 180) (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ 0 B) (+ (* -1/2 (/ (+ (* (/ B C) A) B) C)) (/ 0 B)) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+ (* (/ B C) A) B) (/ (+ (* (/ B C) A) B) C)) |
| 8.0ms | C | @ | -inf | ((* (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) 180) (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ 0 B) (+ (* -1/2 (/ (+ (* (/ B C) A) B) C)) (/ 0 B)) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+ (* (/ B C) A) B) (/ (+ (* (/ B C) A) B) C)) |
| 3.0ms | B | @ | -inf | ((* (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) 180) (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ 0 B) (+ (* -1/2 (/ (+ (* (/ B C) A) B) C)) (/ 0 B)) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+ (* (/ B C) A) B) (/ (+ (* (/ B C) A) B) C)) |
| 3.0ms | B | @ | inf | ((* (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) 180) (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ 0 B) (+ (* -1/2 (/ (+ (* (/ B C) A) B) C)) (/ 0 B)) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+ (* (/ B C) A) B) (/ (+ (* (/ B C) A) B) C)) |
| 2.0ms | A | @ | 0 | ((* (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) 180) (/ (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (PI)) (atan (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B)) (/ (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/ 0 B) (+ (* -1/2 (/ (+ (* (/ B C) A) B) C)) (/ 0 B)) (/ (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (PI)) (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) 180) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+ (* (/ B C) A) B) (/ (+ (* (/ B C) A) B) C)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 687 | 3496 |
| 1 | 2314 | 3282 |
| 0 | 8621 | 2910 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (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)) |
(/ (- 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))))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 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)))))))))) |
(+ (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))) |
(- 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)))) |
B |
(+ B (/ (* A B) C)) |
(/ B C) |
(+ (/ B C) (/ (* A B) (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 (/ (* A B) (pow C 2))) |
(* A (+ (* -1/2 (/ B (* A C))) (* -1/2 (/ B (pow C 2))))) |
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))))))) |
(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)))))) |
(* -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))))))) |
(/ (* A B) C) |
(* A (+ (/ B A) (/ B C))) |
(/ (* A B) (pow C 2)) |
(* A (+ (/ B (* A C)) (/ B (pow C 2)))) |
(* 180 (/ (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)) |
(* 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 (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* -1 (* A (+ (* 1/2 (/ B (* A C))) (* 1/2 (/ B (pow C 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))))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -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 (* A (+ (* -1 (/ B A)) (* -1 (/ B C))))) |
(* -1 (* A (+ (* -1 (/ B (* A C))) (* -1 (/ B (pow C 2)))))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
0 |
(* -1/2 (/ (* B (+ 1 (/ A 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) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(- (* 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)) |
(* B (+ 1 (/ A C))) |
(/ (* B (+ 1 (/ A C))) C) |
-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))) |
(* 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))))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* -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))))) |
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))) |
(* 1/2 (/ (* B (- (* -1 (/ A C)) 1)) C)) |
(* -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 (* 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))) |
(* -1 (* B (- (* -1 (/ A C)) 1))) |
(* -1 (/ (* B (- (* -1 (/ A C)) 1)) C)) |
(* -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))))))))) |
(/ (+ (* -1/2 (* A B)) (* -1/2 (* B C))) (pow C 2)) |
(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)))))))))) |
(+ (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))) |
(* -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))))) |
(/ (+ (* A B) (* B C)) C) |
(/ (+ (* A B) (* B C)) (pow C 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))))))) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
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))))))) |
(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)))))) |
(* -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)))))) |
(/ (+ B (/ (* A B) C)) C) |
(* 180 (/ (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))) |
(* 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))))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -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))))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) 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))) |
(* -1 (/ (+ (* -1 B) (* -1 (/ (* A B) C))) C)) |
| Outputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) B)) (PI.f64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(/.f64 (-.f64 C (hypot.f64 B 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 (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (neg.f64 B)) A (/.f64 (-.f64 C (hypot.f64 B 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (/.f64 A B)) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (neg.f64 B))) A (/.f64 (-.f64 C (hypot.f64 B C)) B)) |
(- (+ (* 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))))) |
(fma.f64 (fma.f64 (*.f64 A #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))))) B) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (neg.f64 B))) A (/.f64 (-.f64 C (hypot.f64 B C)) B)) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) B)) #s(literal 180 binary64)) |
(* -1/2 (/ B C)) |
(*.f64 (/.f64 B C) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 B C) A B) C) #s(literal -1/2 binary64)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(hypot.f64 B C) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 (*.f64 A (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (hypot.f64 B 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (neg.f64 C))) A (hypot.f64 B 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (neg.f64 C)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C)))))) (*.f64 #s(literal 1/2 binary64) A))) A (hypot.f64 B C)) |
(+ (pow B 2) (pow C 2)) |
(fma.f64 B B (*.f64 C C)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (*.f64 B B)) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (fma.f64 B B (*.f64 A A))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (hypot.f64 B C)) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (fma.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) A (hypot.f64 B C))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) A)) (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) A (-.f64 C (hypot.f64 B C))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 3 binary64)))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))))) A) (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) A (-.f64 C (hypot.f64 B C))) |
B |
(+ B (/ (* A B) C)) |
(fma.f64 (/.f64 B C) A B) |
(/ B C) |
(/.f64 B C) |
(+ (/ B C) (/ (* A B) (pow C 2))) |
(/.f64 (fma.f64 (/.f64 B C) A B) C) |
(* -2 (/ A B)) |
(*.f64 (/.f64 A B) #s(literal -2 binary64)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (-.f64 (/.f64 (/.f64 C B) A) (fma.f64 (/.f64 (/.f64 C B) A) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B))) A) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) A) (/.f64 B A) (-.f64 (/.f64 (/.f64 C B) A) (fma.f64 (/.f64 (/.f64 C B) A) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B)))) A) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (*.f64 B (/.f64 C (pow.f64 A #s(literal 3 binary64))))) (-.f64 (/.f64 (/.f64 C B) A) (fma.f64 (/.f64 (/.f64 C B) A) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) B)))) A) |
(* -1/2 (/ (* A B) (pow C 2))) |
(*.f64 (*.f64 A #s(literal -1/2 binary64)) (/.f64 (/.f64 B C) C)) |
(* A (+ (* -1/2 (/ B (* A C))) (* -1/2 (/ B (pow C 2))))) |
(*.f64 (*.f64 A #s(literal -1/2 binary64)) (+.f64 (/.f64 (/.f64 B C) C) (/.f64 (/.f64 B C) A))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 C A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) 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))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 B A) (/.f64 B A) (*.f64 (*.f64 B B) (/.f64 C (pow.f64 A #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 C A))) A) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64)) A) A) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 B B (*.f64 C C)) A) A) (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 A A)) |
(* -2 A) |
(*.f64 #s(literal -2 binary64) A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) A) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) C) A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) A) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (/.f64 C (pow.f64 A #s(literal 3 binary64))) (/.f64 C A)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) C) A))) A) |
(/ (* A B) C) |
(*.f64 (/.f64 B C) A) |
(* A (+ (/ B A) (/ B C))) |
(*.f64 (+.f64 (/.f64 B A) (/.f64 B C)) A) |
(/ (* A B) (pow C 2)) |
(*.f64 (/.f64 A C) (/.f64 B C)) |
(* A (+ (/ B (* A C)) (/ B (pow C 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 B C) C) (/.f64 (/.f64 B C) A)) A) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B)) (/.f64 #s(literal 180 binary64) (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) (hypot.f64 (-.f64 C A) B)) B)) (PI.f64)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 B (*.f64 B (/.f64 C A)))) A) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 B A)) (*.f64 B C))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (*.f64 B A)) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) B))) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B)) #s(literal 180 binary64)) |
(* -1 (* A (+ (* 1/2 (/ B (* A C))) (* 1/2 (/ B (pow C 2)))))) |
(*.f64 (*.f64 (neg.f64 A) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 B C) C) (/.f64 (/.f64 B C) A))) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(*.f64 (neg.f64 A) (-.f64 #s(literal 1 binary64) (/.f64 C A))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) 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))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 B (/.f64 C A)) (*.f64 B B)) A))) A)) (neg.f64 A)) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (/.f64 (fma.f64 B B (*.f64 C C)) (neg.f64 A))) A)) (*.f64 A A)) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (*.f64 B (/.f64 C A)) (*.f64 B B)))) A) |
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(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 B C) A B) C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 B C) A B) C) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 A) A) B) B (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 C #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) B))) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(*.f64 (/.f64 (fma.f64 (/.f64 B C) A B) C) #s(literal -1/2 binary64)) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64) 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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 B C) (/.f64 B C) (*.f64 (*.f64 B B) (/.f64 A (pow.f64 C #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 A C))) C) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64)) C) C) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 B B (*.f64 A A)) C) C) (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 C C)) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(fma.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(-.f64 (*.f64 (*.f64 A (*.f64 B (/.f64 (/.f64 B C) C))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 B (/.f64 B C)) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 A) A) B) B (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 C #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 A (*.f64 B (/.f64 B C)) (*.f64 B B)) C) #s(literal 0 binary64))) |
(/ (+ B (/ (* A B) C)) C) |
(/.f64 (fma.f64 (/.f64 B C) A B) C) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 B (-.f64 A C)) C) A) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 B (-.f64 A C)) C) A) (neg.f64 B))) (PI.f64)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 B (-.f64 A C)) C) A) (neg.f64 B))) |
(* 2 (/ C B)) |
(*.f64 (/.f64 C B) #s(literal 2 binary64)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 (/.f64 #s(literal 2 binary64) C) (/.f64 A B) (/.f64 #s(literal -2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 (/.f64 (fma.f64 (/.f64 A B) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 B C))) C) #s(literal -1 binary64) (/.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 (neg.f64 C) (fma.f64 (/.f64 (fma.f64 (/.f64 A B) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C))) C) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) B))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 (hypot.f64 B (-.f64 A C)) C) A) (neg.f64 B))) #s(literal 180 binary64)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(*.f64 (/.f64 (fma.f64 (/.f64 B C) A B) C) #s(literal -1/2 binary64)) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(*.f64 (neg.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 A C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(*.f64 (neg.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64) A) C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(*.f64 (neg.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 A (*.f64 B (/.f64 B C)) (*.f64 B B)) C))) C))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) A (/.f64 (fma.f64 B B (*.f64 A A)) (neg.f64 C))) C)) (*.f64 C C)) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(*.f64 (neg.f64 C) (-.f64 (*.f64 (/.f64 A C) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(*.f64 (neg.f64 C) (-.f64 (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) A)) (neg.f64 C)) #s(literal 2 binary64))) |
(* -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 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (*.f64 B (/.f64 B C)) (*.f64 B B))) C) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) A)) (neg.f64 C)) #s(literal 2 binary64))) |
(* -1 (/ (+ (* -1 B) (* -1 (/ (* A B) C))) C)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 B C) A B)) C) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 614 |
| 0 | 88 | 572 |
| 1 | 316 | 568 |
| 2 | 2324 | 568 |
| 0 | 8580 | 474 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(/.f64 #s(literal 0 binary64) B) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
#s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) |
#s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B))) |
(fma.f64 (/.f64 B C) A B) |
(/.f64 (fma.f64 (/.f64 B C) A B) C) |
| Outputs |
|---|
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (*.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) #s(literal 180 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) (PI.f64)) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) (neg.f64 (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(neg.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) (PI.f64))) |
(neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (neg.f64 (PI.f64)))) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) B))) |
(neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) (neg.f64 B)))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 C A)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) (neg.f64 B)) |
(/.f64 (-.f64 (neg.f64 (-.f64 C A)) (neg.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) (neg.f64 B)) |
(/.f64 (-.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 C A) B) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) B) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) B))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 C A) B) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) B) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 C A) B) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) B) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) B))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (neg.f64 (neg.f64 B))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 C A)) B) (*.f64 (neg.f64 B) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) (*.f64 (neg.f64 B) B)) |
(/.f64 (-.f64 (*.f64 (-.f64 C A) B) (*.f64 B (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) (*.f64 B B)) |
(/.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A)) B)) |
(/.f64 (-.f64 (pow.f64 (-.f64 A C) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) #s(literal 3/2 binary64))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (-.f64 C A) #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) (pow.f64 (-.f64 A C) #s(literal 2 binary64))) B)) |
(/.f64 (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) (neg.f64 B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))))) B)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 2 binary64)) (*.f64 B B)) (-.f64 (*.f64 (/.f64 B C) A) B)) |
(/.f64 (+.f64 (pow.f64 B #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 3 binary64))) (fma.f64 B B (-.f64 (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 B C) A) B)))) |
(/.f64 (+.f64 (pow.f64 B #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 3 binary64))) (fma.f64 B (-.f64 B (*.f64 (/.f64 B C) A)) (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 B)) (neg.f64 (sqrt.f64 B)) (*.f64 (/.f64 B C) A)) |
(fma.f64 (fabs.f64 (sqrt.f64 B)) (fabs.f64 (sqrt.f64 B)) (*.f64 (/.f64 B C) A)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 B))) (sqrt.f64 (neg.f64 (neg.f64 B))) (*.f64 (/.f64 B C) A)) |
(fma.f64 (sqrt.f64 (neg.f64 B)) (sqrt.f64 (neg.f64 B)) (*.f64 (/.f64 B C) A)) |
(fma.f64 (pow.f64 (sqrt.f64 B) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 B) #s(literal 1 binary64)) (*.f64 (/.f64 B C) A)) |
(fma.f64 (sqrt.f64 B) (sqrt.f64 B) (*.f64 (/.f64 B C) A)) |
(fma.f64 (/.f64 B C) A B) |
(fma.f64 B (/.f64 A C) B) |
(fma.f64 A (/.f64 B C) B) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 B C) A) B)) (/.f64 (*.f64 B B) (-.f64 (*.f64 (/.f64 B C) A) B))) |
(-.f64 B (*.f64 (neg.f64 (/.f64 B C)) A)) |
(-.f64 B (*.f64 (neg.f64 A) (/.f64 B C))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 3 binary64)) (fma.f64 B (-.f64 B (*.f64 (/.f64 B C) A)) (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 2 binary64)))) (/.f64 (pow.f64 B #s(literal 3 binary64)) (fma.f64 B (-.f64 B (*.f64 (/.f64 B C) A)) (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 B C) A) B) |
(+.f64 B (*.f64 (/.f64 B C) A)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 B C) A)) (neg.f64 (neg.f64 C)) (*.f64 (neg.f64 C) (neg.f64 (neg.f64 B)))) (*.f64 (neg.f64 C) (neg.f64 (neg.f64 C)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 B C) A)) (neg.f64 C) (*.f64 (neg.f64 C) (neg.f64 B))) (*.f64 C C)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 B C) A)) C (*.f64 (neg.f64 C) B)) (*.f64 (neg.f64 C) C)) |
(/.f64 (fma.f64 (*.f64 B A) (neg.f64 (neg.f64 C)) (*.f64 (*.f64 C C) (neg.f64 (neg.f64 B)))) (*.f64 (*.f64 C C) (neg.f64 (neg.f64 C)))) |
(/.f64 (fma.f64 (*.f64 B A) (neg.f64 C) (*.f64 (*.f64 C C) (neg.f64 B))) (pow.f64 C #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 B A) C (*.f64 (*.f64 C C) B)) (pow.f64 C #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 (/.f64 B C) A) (neg.f64 (neg.f64 C)) (*.f64 C (neg.f64 (neg.f64 B)))) (*.f64 C (neg.f64 (neg.f64 C)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 B)) (neg.f64 C) (*.f64 (neg.f64 (neg.f64 C)) (neg.f64 (*.f64 (/.f64 B C) A)))) (*.f64 (neg.f64 (neg.f64 C)) (neg.f64 C))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 B)) (*.f64 C C) (*.f64 (neg.f64 (neg.f64 C)) (*.f64 B A))) (*.f64 (neg.f64 (neg.f64 C)) (*.f64 C C))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 B)) C (*.f64 (neg.f64 (neg.f64 C)) (*.f64 (/.f64 B C) A))) (*.f64 (neg.f64 (neg.f64 C)) C)) |
(/.f64 (fma.f64 (neg.f64 B) (neg.f64 C) (*.f64 (neg.f64 C) (neg.f64 (*.f64 (/.f64 B C) A)))) (*.f64 C C)) |
(/.f64 (fma.f64 (neg.f64 B) (*.f64 C C) (*.f64 (neg.f64 C) (*.f64 B A))) (pow.f64 C #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 B) C (*.f64 (neg.f64 C) (*.f64 (/.f64 B C) A))) (*.f64 (neg.f64 C) C)) |
(/.f64 (fma.f64 B (neg.f64 C) (*.f64 C (neg.f64 (*.f64 (/.f64 B C) A)))) (*.f64 (neg.f64 C) C)) |
(/.f64 (fma.f64 B (*.f64 C C) (*.f64 C (*.f64 B A))) (pow.f64 C #s(literal 3 binary64))) |
(/.f64 (fma.f64 B C (*.f64 C (*.f64 (/.f64 B C) A))) (*.f64 C C)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 B C) A) C) #s(literal 2 binary64)) (pow.f64 (/.f64 B C) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 B C) A) B) C)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 B C) A) C) #s(literal 3 binary64)) (pow.f64 (/.f64 B C) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 B C) A) C) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 B C) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 B C) A) C) (/.f64 B C))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 B C) A B))) (neg.f64 (neg.f64 C))) |
(/.f64 (fma.f64 (*.f64 (/.f64 B C) A) (neg.f64 C) (*.f64 C (neg.f64 B))) (*.f64 (neg.f64 C) C)) |
(/.f64 (fma.f64 (*.f64 (/.f64 B C) A) C (*.f64 C B)) (*.f64 C C)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 2 binary64)) (*.f64 B B)) (*.f64 (-.f64 (*.f64 (/.f64 B C) A) B) C)) |
(/.f64 (+.f64 (pow.f64 B #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 3 binary64))) (*.f64 (fma.f64 B (-.f64 B (*.f64 (/.f64 B C) A)) (pow.f64 (*.f64 (/.f64 B C) A) #s(literal 2 binary64))) C)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 B C) A B)) (neg.f64 C)) |
(/.f64 (fma.f64 (/.f64 B C) A B) C) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 B C) A B)) C)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 B C) A B) (neg.f64 C))) |
(fma.f64 (/.f64 B C) (/.f64 A C) (/.f64 B C)) |
(fma.f64 A (/.f64 (/.f64 B C) C) (/.f64 B C)) |
(+.f64 (/.f64 (*.f64 (/.f64 B C) A) C) (/.f64 B C)) |
(+.f64 (/.f64 B C) (/.f64 (*.f64 (/.f64 B C) A) C)) |
Compiled 16 511 to 2 494 computations (84.9% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 396 | 2 | 398 |
| Fresh | 1 | 9 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 398 | 20 | 418 |
| Status | Accuracy | Program |
|---|---|---|
| 24.4% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) | |
| 28.4% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) | |
| ✓ | 24.5% | (/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
| 49.6% | (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 21.5% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) B) B (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B C) B))) A)) (neg.f64 A))) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 22.3% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal 2 binary64) C)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| 23.2% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal -2 binary64) A)) B)) #s(literal 180 binary64)) (PI.f64)) | |
| ✓ | 15.6% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
| 29.2% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 B C) A) C (*.f64 C B)) (*.f64 C C)) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) | |
| 34.6% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 (fma.f64 (/.f64 B C) A B) #s(literal -1/2 binary64)) C))) #s(literal 180 binary64)) (PI.f64)) | |
| 34.5% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) #s(literal 180 binary64)) (PI.f64)) | |
| ✓ | 48.3% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| ✓ | 49.7% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| ✓ | 24.6% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| ✓ | 28.8% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| ✓ | 20.8% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
| ✓ | 50.0% | (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
| 24.7% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) | |
| 28.8% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) | |
| ✓ | 19.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
Compiled 1 997 to 730 computations (63.4% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal -2 binary64) A)) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal 2 binary64) C)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 (fma.f64 (/.f64 B C) A B) #s(literal -1/2 binary64)) C))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (*.f64 B B)))))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)))) A)) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 B C) A) C (*.f64 C B)) (*.f64 C C)) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) B) B (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B C) B))) A)) (neg.f64 A))) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) B) B (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B B) C))) A)) (neg.f64 A))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64)) |
7 calls:
| 20.0ms | A |
| 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)) |
| 12.0ms | C |
| 11.0ms | B |
| 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 |
|---|---|---|
| 82.7% | 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)))))) |
| 82.7% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 82.7% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 82.7% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 82.6% | 2 | A |
| 77.7% | 1 | B |
| 81.2% | 2 | C |
Compiled 84 to 74 computations (11.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal -2 binary64) A)) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal 2 binary64) C)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 (fma.f64 (/.f64 B C) A B) #s(literal -1/2 binary64)) C))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (*.f64 B B)))))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)))) A)) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 B C) A) C (*.f64 C B)) (*.f64 C C)) (/.f64 #s(literal 0 binary64) B)))) #s(literal 180 binary64)) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
7 calls:
| 11.0ms | A |
| 9.0ms | C |
| 9.0ms | B |
| 8.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 7.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 3 | B |
| 67.4% | 4 | C |
| 71.1% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 71.1% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 71.1% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 71.1% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 68.4% | 4 | A |
Compiled 84 to 74 computations (11.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal -2 binary64) A)) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal 2 binary64) C)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
4 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))) |
| 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 (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 |
|---|---|---|
| 71.1% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 71.1% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 71.1% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 71.1% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
Compiled 81 to 65 computations (19.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal -2 binary64) A)) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal 2 binary64) C)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
4 calls:
| 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))))))) |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 4.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 4.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 71.1% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 71.1% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 71.1% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
Compiled 81 to 65 computations (19.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal -2 binary64) A)) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal 2 binary64) C)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
7 calls:
| 15.0ms | B |
| 5.0ms | C |
| 5.0ms | A |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 4.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 4 | C |
| 61.4% | 2 | B |
| 63.6% | 2 | A |
| 62.1% | 4 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 62.1% | 4 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 62.1% | 4 | (/.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)) |
| 62.1% | 4 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
Compiled 84 to 74 computations (11.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal -2 binary64) A)) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (*.f64 #s(literal 2 binary64) C)) B)) #s(literal 180 binary64)) (PI.f64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
7 calls:
| 5.0ms | B |
| 4.0ms | A |
| 4.0ms | C |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 3.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 45.1% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 45.1% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 45.1% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 51.7% | 3 | B |
| 55.3% | 5 | C |
| 53.4% | 3 | A |
Compiled 84 to 74 computations (11.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
3 calls:
| 6.0ms | C |
| 3.0ms | B |
| 3.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 3 | B |
| 47.0% | 5 | C |
| 51.7% | 3 | A |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
2 calls:
| 3.0ms | B |
| 3.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 3 | A |
| 51.7% | 3 | B |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
2 calls:
| 2.0ms | B |
| 2.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.0% | 3 | A |
| 51.0% | 5 | B |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) #s(literal 0 binary64)) B)) #s(literal 180 binary64)) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
2 calls:
| 2.0ms | B |
| 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 |
|---|---|---|
| 38.7% | 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)))))) |
| 46.5% | 3 | B |
Compiled 19 to 17 computations (10.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
5 calls:
| 4.0ms | 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 | C |
| 1.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 1.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.6% | 3 | C |
| 38.7% | 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))))))) |
| 38.7% | 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)) |
| 38.7% | 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))) |
| 38.8% | 2 | B |
Compiled 65 to 57 computations (12.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
7 calls:
| 1.0ms | C |
| 1.0ms | B |
| 1.0ms | A |
| 1.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) 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 |
|---|---|---|
| 19.9% | 1 | C |
| 19.9% | 1 | A |
| 19.9% | 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))))))) |
| 19.9% | 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)) |
| 19.9% | 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))) |
| 19.9% | 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)))))) |
| 19.9% | 1 | B |
Compiled 84 to 74 computations (11.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | -1.3903459117246892e-8 | -6.598339180429725e-13 |
| 14.0ms | 40× | 2 | valid |
| 8.0ms | 68× | 0 | valid |
| 6.0ms | 20× | 1 | valid |
Compiled 426 to 320 computations (24.9% saved)
adjust: 5.0ms (21.1% of total)ival-sub: 4.0ms (16.9% of total)ival-pow2: 4.0ms (16.9% of total)ival-div: 3.0ms (12.7% of total)ival-mult: 3.0ms (12.7% of total)ival-sqrt: 2.0ms (8.4% of total)ival-atan: 2.0ms (8.4% of total)ival-add: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.766581047475741e-7 | 45.0 |
| 0.0ms | -44.51127347515459 | 0.0 |
Compiled 26 to 25 computations (3.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.766581047475741e-7 | 45.0 |
| 0.0ms | -44.51127347515459 | 0.0 |
Compiled 26 to 25 computations (3.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.766581047475741e-7 | 45.0 |
| 0.0ms | -44.51127347515459 | 0.0 |
Compiled 26 to 25 computations (3.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | -7.017343788428897e-42 | -3.9113243890855894e-45 |
| 13.0ms | 31× | 2 | valid |
| 8.0ms | 75× | 0 | valid |
| 6.0ms | 22× | 1 | valid |
Compiled 506 to 392 computations (22.5% saved)
ival-sub: 4.0ms (18.2% of total)adjust: 4.0ms (18.2% of total)ival-pow2: 4.0ms (18.2% of total)ival-div: 3.0ms (13.6% of total)ival-mult: 2.0ms (9.1% of total)ival-sqrt: 1.0ms (4.5% of total)ival-add: 1.0ms (4.5% of total)ival-atan: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 10.24066450236573 | 584755.7583924357 |
| 31.0ms | -1.1511121073346024e-251 | -3.4576186462462665e-258 |
| 24.0ms | 207× | 0 | valid |
| 17.0ms | 49× | 2 | valid |
| 4.0ms | 16× | 1 | valid |
Compiled 1 012 to 813 computations (19.7% saved)
ival-pow2: 7.0ms (19% of total)adjust: 6.0ms (16.3% of total)ival-sub: 5.0ms (13.6% of total)ival-div: 5.0ms (13.6% of total)ival-mult: 4.0ms (10.9% of total)ival-sqrt: 3.0ms (8.2% of total)ival-pi: 3.0ms (8.2% of total)ival-atan: 3.0ms (8.2% of total)ival-add: 2.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 2.774359395555552e+59 | 2.193024915248339e+64 |
| 33.0ms | -11869480.52980755 | -5.945102399613401 |
| 19.0ms | 78× | 1 | valid |
| 19.0ms | 174× | 0 | valid |
| 12.0ms | 36× | 2 | valid |
Compiled 998 to 798 computations (20% saved)
adjust: 8.0ms (19.5% of total)ival-pow2: 8.0ms (19.5% of total)ival-sub: 6.0ms (14.6% of total)ival-div: 6.0ms (14.6% of total)ival-mult: 5.0ms (12.2% of total)ival-sqrt: 3.0ms (7.3% of total)ival-atan: 3.0ms (7.3% of total)ival-add: 2.0ms (4.9% of total)ival-pi: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.774359395555552e+59 | 2.193024915248339e+64 |
| 1.0ms | -11869480.52980755 | -5.945102399613401 |
Compiled 998 to 852 computations (14.6% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 5.122710272990142e+33 | 1.7130540503013416e+45 |
| 33.0ms | 8.416432717809269e-81 | 5.127287753155264e-76 |
| 43.0ms | -4.699271208845255e-173 | -1.7949637334028953e-176 |
| 32.0ms | -26644216453.890484 | -11869480.52980755 |
| 55.0ms | 139× | 2 | valid |
| 40.0ms | 333× | 0 | valid |
| 33.0ms | 72× | 1 | valid |
Compiled 1 894 to 1 604 computations (15.3% saved)
ival-sub: 25.0ms (22.7% of total)ival-pow2: 18.0ms (16.4% of total)adjust: 17.0ms (15.5% of total)ival-sqrt: 12.0ms (10.9% of total)ival-div: 11.0ms (10% of total)ival-mult: 10.0ms (9.1% of total)ival-atan: 7.0ms (6.4% of total)ival-add: 5.0ms (4.5% of total)ival-pi: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 8.416432717809269e-81 | 5.127287753155264e-76 |
| 50.0ms | -1.1442741029617964e-144 | -9.447345019265425e-151 |
| 45.0ms | 84× | 2 | valid |
| 11.0ms | 98× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
Compiled 910 to 789 computations (13.3% saved)
ival-pow2: 17.0ms (33.7% of total)adjust: 9.0ms (17.9% of total)ival-div: 5.0ms (9.9% of total)ival-mult: 5.0ms (9.9% of total)ival-add: 5.0ms (9.9% of total)ival-sub: 4.0ms (7.9% of total)ival-sqrt: 3.0ms (6% of total)ival-atan: 2.0ms (4% of total)ival-pi: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | -3.2164330276404388e-308 | 5.4412058671406365e-307 |
| 22.0ms | 47× | 2 | valid |
| 8.0ms | 65× | 0 | valid |
Compiled 376 to 332 computations (11.7% saved)
ival-pow2: 7.0ms (27.5% of total)adjust: 5.0ms (19.6% of total)ival-sub: 3.0ms (11.8% of total)ival-div: 3.0ms (11.8% of total)ival-mult: 3.0ms (11.8% of total)ival-sqrt: 2.0ms (7.8% of total)ival-add: 1.0ms (3.9% of total)ival-atan: 1.0ms (3.9% of total)ival-pi: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1107 |
| 1 | 194 | 1063 |
| 2 | 263 | 1063 |
| 3 | 342 | 1063 |
| 4 | 405 | 1063 |
| 5 | 455 | 1063 |
| 6 | 526 | 1063 |
| 7 | 607 | 1063 |
| 8 | 638 | 1063 |
| 9 | 640 | 1063 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 A #s(literal -8160249282398747/604462909807314587353088 binary64)) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) #s(literal 180 binary64)) (PI.f64)) (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64))) |
(if (<=.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))) #s(literal -40 binary64)) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) (if (<=.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))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)))) |
(if (<=.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))) #s(literal -40 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (if (<=.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))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)))) |
(if (<=.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))) #s(literal -40 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (if (<=.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))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 A #s(literal -2432376922462339/392318858461667547739736838950479151006397215279002157056 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)))) |
(if (<=.f64 A #s(literal -5916898748719451/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (if (<=.f64 A #s(literal 70 binary64)) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))))) |
(if (<=.f64 B #s(literal -155000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) (if (<=.f64 B #s(literal 650000000000000020623426419571607803212093111514784161857536 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))))) |
(if (<=.f64 B #s(literal -155000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) (if (<=.f64 B #s(literal 650000000000000020623426419571607803212093111514784161857536 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))))) |
(if (<=.f64 B #s(literal -2400000000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) (if (<=.f64 B #s(literal -2780237251363525/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) (if (<=.f64 B #s(literal 5873964348782503/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) (if (<=.f64 B #s(literal 12599999999999999198955759976054784 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))))))) |
(if (<=.f64 B #s(literal -3824076725361717/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) (if (<=.f64 B #s(literal 7742953005213299/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 0 binary64) B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))))) |
(if (<=.f64 B #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| Outputs |
|---|
(if (<=.f64 A #s(literal -8160249282398747/604462909807314587353088 binary64)) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 C A) B B)) A))) #s(literal 180 binary64)) (PI.f64)) (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #s(literal 180 binary64)) (PI.f64))) |
(if (<=.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))) #s(literal -40 binary64)) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) (if (<=.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))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)))) |
(if (<=.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.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))) #s(literal -40 binary64)) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) (if (<=.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.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))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)))) |
(if (<=.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))) #s(literal -40 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (if (<=.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))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)))) |
(if (<=.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.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))) #s(literal -40 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (if (<=.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.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))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)))) |
(if (<=.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))) #s(literal -40 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (if (<=.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))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.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))) #s(literal -40 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (if (<=.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.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))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 A #s(literal -2432376922462339/392318858461667547739736838950479151006397215279002157056 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)))) |
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(if (<=.f64 A #s(literal -5916898748719451/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (if (<=.f64 A #s(literal 70 binary64)) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) #s(literal 180 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))))) |
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(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) #s(literal -1 binary64))) (PI.f64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 547 |
| 0 | 91 | 475 |
| 1 | 309 | 424 |
| 2 | 2046 | 424 |
| 0 | 8241 | 424 |
| 0 | 59 | 611 |
| 0 | 91 | 583 |
| 1 | 302 | 565 |
| 2 | 2053 | 565 |
| 0 | 8310 | 466 |
| 0 | 19 | 74 |
| 0 | 32 | 74 |
| 1 | 126 | 70 |
| 2 | 876 | 70 |
| 0 | 8367 | 48 |
| 0 | 633 | 3221 |
| 1 | 2104 | 3028 |
| 0 | 8114 | 2656 |
| 0 | 629 | 3038 |
| 1 | 2101 | 2854 |
| 0 | 8112 | 2527 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 127 to 146 computations (87% saved)
Compiled 2 300 to 330 computations (85.7% saved)
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