
Time bar (total: 2.2min)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 15 to 13 computations (13.3% saved)
| 1.6s | 4 944× | 1 | valid |
| 1.6s | 2 879× | 2 | valid |
| 90.0ms | 144× | 4 | valid |
| 25.0ms | 289× | 0 | valid |
| 0.0ms | 5× | 0 | invalid |
ival-asin: 1.2s (39.7% of total)ival-div: 763.0ms (25.4% of total)adjust: 363.0ms (12.1% of total)ival-sub: 211.0ms (7% of total)ival-sqrt: 194.0ms (6.5% of total)ival-mult: 162.0ms (5.4% of total)ival-pi: 89.0ms (3% of total)exact: 19.0ms (0.6% of total)ival-true: 6.0ms (0.2% of total)ival-assert: 4.0ms (0.1% of total)| 1× | egg-herbie |
| 212× | accelerator-lowering-fma.f32 |
| 212× | accelerator-lowering-fma.f64 |
| 136× | *-lowering-*.f32 |
| 136× | *-lowering-*.f64 |
| 96× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 33 | 27 |
| 2 | 72 | 26 |
| 3 | 160 | 26 |
| 4 | 261 | 26 |
| 5 | 367 | 26 |
| 6 | 433 | 26 |
| 7 | 485 | 26 |
| 8 | 495 | 26 |
| 0 | 11 | 13 |
| 1 | 26 | 13 |
| 2 | 40 | 13 |
| 3 | 59 | 13 |
| 4 | 88 | 13 |
| 5 | 124 | 13 |
| 6 | 183 | 13 |
| 7 | 243 | 13 |
| 8 | 299 | 13 |
| 9 | 339 | 13 |
| 10 | 357 | 13 |
| 0 | 357 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
| Outputs |
|---|
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 1 | (0.0031649456318326745) | 0 | - | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) | cancellation | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 94.0ms | 176× | 2 | valid |
| 80.0ms | 312× | 1 | valid |
| 6.0ms | 10× | 4 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 132 to 48 computations (63.6% saved)
ival-asin: 80.0ms (52.9% of total)adjust: 19.0ms (12.6% of total)ival-div: 16.0ms (10.6% of total)ival-sub: 12.0ms (7.9% of total)ival-sqrt: 9.0ms (5.9% of total)ival-mult: 9.0ms (5.9% of total)ival-pi: 5.0ms (3.3% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.6% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 384 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 512 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 212× | accelerator-lowering-fma.f32 |
| 212× | accelerator-lowering-fma.f64 |
| 136× | *-lowering-*.f32 |
| 136× | *-lowering-*.f64 |
| 96× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 26 | 50 |
| 2 | 40 | 50 |
| 3 | 59 | 50 |
| 4 | 88 | 50 |
| 5 | 124 | 50 |
| 6 | 183 | 50 |
| 7 | 243 | 50 |
| 8 | 299 | 50 |
| 9 | 339 | 50 |
| 10 | 357 | 50 |
| 0 | 357 | 44 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
(/ (PI) 2) |
(PI) |
2 |
(* 2 (asin (sqrt (/ (- 1 x) 2)))) |
(asin (sqrt (/ (- 1 x) 2))) |
(sqrt (/ (- 1 x) 2)) |
(/ (- 1 x) 2) |
(- 1 x) |
1 |
x |
| Outputs |
|---|
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(/ (PI) 2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(* 2 (asin (sqrt (/ (- 1 x) 2)))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(asin (sqrt (/ (- 1 x) 2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (/ (- 1 x) 2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(/ (- 1 x) 2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| ✓ | accuracy | 98.5% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| ✓ | accuracy | 8.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 43.0ms | 88× | 2 | valid |
| 39.0ms | 156× | 1 | valid |
| 6.0ms | 5× | 4 | valid |
| 1.0ms | 7× | 0 | valid |
Compiled 52 to 13 computations (75% saved)
ival-asin: 37.0ms (51.1% of total)ival-div: 9.0ms (12.4% of total)adjust: 7.0ms (9.7% of total)ival-sub: 6.0ms (8.3% of total)ival-sqrt: 5.0ms (6.9% of total)ival-pi: 4.0ms (5.5% of total)ival-mult: 4.0ms (5.5% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- 1 x) 2)> |
#<alt (/ (PI) 2)> |
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))> |
#<alt (PI)> |
#<alt (asin (sqrt (/ (- 1 x) 2)))> |
#<alt (sqrt (/ (- 1 x) 2))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/2 x))> |
#<alt (+ 1/2 (* -1/2 x))> |
#<alt (+ 1/2 (* -1/2 x))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))> |
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))> |
#<alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))> |
#<alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))> |
#<alt (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))> |
#<alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))> |
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))> |
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))> |
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt (/ (- 1 x) 2)) |
| 1.0ms | x | @ | -inf | (sqrt (/ (- 1 x) 2)) |
| 1.0ms | x | @ | inf | (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
| 1.0ms | x | @ | 0 | (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
| 0.0ms | x | @ | inf | (/ (- 1 x) 2) |
| 1× | batch-egg-rewrite |
| 7 926× | accelerator-lowering-fma.f32 |
| 7 926× | accelerator-lowering-fma.f64 |
| 4 770× | *-lowering-*.f32 |
| 4 770× | *-lowering-*.f64 |
| 2 994× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 1 | 81 | 35 |
| 2 | 618 | 35 |
| 3 | 7258 | 35 |
| 0 | 8201 | 30 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 x) 2) |
(/ (PI) 2) |
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
(PI) |
(asin (sqrt (/ (- 1 x) 2))) |
(sqrt (/ (- 1 x) 2)) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -2 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
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(fma.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal -2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(neg.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(neg.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(neg.f64 (asin.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| 1× | egg-herbie |
| 29 870× | accelerator-lowering-fma.f32 |
| 29 870× | accelerator-lowering-fma.f64 |
| 6 854× | *-lowering-*.f32 |
| 6 854× | *-lowering-*.f64 |
| 2 358× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 644 |
| 1 | 288 | 613 |
| 2 | 888 | 597 |
| 3 | 2697 | 580 |
| 4 | 6151 | 580 |
| 0 | 8453 | 543 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(*.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(*.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
Compiled 11 990 to 1 845 computations (84.6% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 450 | 21 | 471 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 451 | 21 | 472 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.4% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
| 6.5% | (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 6.7% | (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) | |
| 6.6% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 6.5% | (fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) | |
| 6.5% | (fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| ▶ | 6.6% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ▶ | 6.6% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
| 6.5% | (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) | |
| 6.6% | (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 6.6% | (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| ▶ | 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| 6.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 6.6% | (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| ▶ | 7.9% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
| 6.4% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 6.6% | (*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
Compiled 2 266 to 840 computations (62.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (pow.f64 (PI.f64) #s(literal 2/3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 192 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
| ✓ | cost-diff | 384 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 448 | (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
| 6 928× | *-lowering-*.f32 |
| 6 928× | *-lowering-*.f64 |
| 6 510× | accelerator-lowering-fma.f32 |
| 6 510× | accelerator-lowering-fma.f64 |
| 1 326× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 8589935242 |
| 1 | 131 | 8589935210 |
| 2 | 311 | 8589935205 |
| 3 | 828 | 8589935205 |
| 4 | 2579 | 8589935203 |
| 5 | 6913 | 8589935203 |
| 0 | 8285 | 566 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) |
(/ (PI) 2) |
(PI) |
2 |
(* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) |
(+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) |
1/2 |
(neg (acos (sqrt (+ (* x -1/2) 1/2)))) |
(acos (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
(+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
1/2 |
-2 |
(* (PI) 1/2) |
(PI) |
(+ (* (pow (PI) 2/3) (* 1/2 (cbrt (PI)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) |
(pow (PI) 2/3) |
(PI) |
2/3 |
(* 1/2 (cbrt (PI))) |
1/2 |
(cbrt (PI)) |
(* (asin (sqrt (+ (* x -1/2) 1/2))) -2) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
-2 |
(+ (* (PI) (/ (* 1/4 (PI)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))) |
(PI) |
(/ (* 1/4 (PI)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(* 1/4 (PI)) |
1/4 |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
2 |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
1/2 |
(* (PI) 1/2) |
(neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) |
(* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) |
(/ (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
(* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) |
(* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) |
(* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) |
(* (PI) (PI)) |
(PI) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(* (PI) (* (PI) (PI))) |
1/64 |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6) |
(* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) |
2 |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
1/2 |
6 |
(/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
1 |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(* (PI) 1/2) |
(+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) |
(* (* (PI) (PI)) (* (PI) (PI))) |
1/16 |
(+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) |
4 |
(pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2) |
(* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) |
| Outputs |
|---|
(- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(/ (PI) 2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(neg (acos (sqrt (+ (* x -1/2) 1/2)))) |
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(acos (sqrt (+ (* x -1/2) 1/2))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
-2 |
#s(literal -2 binary64) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
(+ (* (pow (PI) 2/3) (* 1/2 (cbrt (PI)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))))) |
(pow (PI) 2/3) |
(pow.f64 (PI.f64) #s(literal 2/3 binary64)) |
(PI) |
(PI.f64) |
2/3 |
#s(literal 2/3 binary64) |
(* 1/2 (cbrt (PI))) |
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) |
1/2 |
#s(literal 1/2 binary64) |
(cbrt (PI)) |
(cbrt.f64 (PI.f64)) |
(* (asin (sqrt (+ (* x -1/2) 1/2))) -2) |
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
-2 |
#s(literal -2 binary64) |
(+ (* (PI) (/ (* 1/4 (PI)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(PI) |
(PI.f64) |
(/ (* 1/4 (PI)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* 1/4 (PI)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
2 |
#s(literal 2 binary64) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) |
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/ (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
(neg.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/64 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))))) |
(* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) |
(* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64))))) |
(* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) |
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI) |
(PI.f64) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
1/64 |
#s(literal 1/64 binary64) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6) |
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) |
(* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
2 |
#s(literal 2 binary64) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
6 |
#s(literal 6 binary64) |
(/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) |
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(* (* (PI) (PI)) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
1/16 |
#s(literal 1/16 binary64) |
(+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) |
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) |
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2) |
(pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) |
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 97.6% | (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) |
| ✓ | accuracy | 97.6% | (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) |
| ✓ | accuracy | 8.1% | (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) |
| ✓ | accuracy | 100.0% | (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 98.5% | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 8.0% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 98.5% | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 98.4% | (cbrt.f64 (PI.f64)) |
| ✓ | accuracy | 6.4% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 98.5% | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 8.0% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 100.0% | (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 8.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
| 206.0ms | 93× | 2 | valid |
| 187.0ms | 156× | 1 | valid |
| 3.0ms | 7× | 0 | valid |
Compiled 640 to 60 computations (90.6% saved)
ival-mult: 94.0ms (28.8% of total)ival-pow: 43.0ms (13.2% of total)ival-acos: 34.0ms (10.4% of total)adjust: 33.0ms (10.1% of total)ival-asin: 30.0ms (9.2% of total)ival-add: 20.0ms (6.1% of total)ival-div: 19.0ms (5.8% of total)ival-pow2: 13.0ms (4% of total)const: 11.0ms (3.4% of total)ival-sub: 5.0ms (1.5% of total)ival-sqrt: 5.0ms (1.5% of total)ival-neg: 5.0ms (1.5% of total)ival-cbrt: 5.0ms (1.5% of total)ival-pi: 3.0ms (0.9% of total)ival-fabs: 3.0ms (0.9% of total)exact: 2.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))> |
#<alt (/ (PI) 2)> |
#<alt (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))))> |
#<alt (PI)> |
#<alt (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2))> |
#<alt (asin (sqrt (+ (* x -1/2) 1/2)))> |
#<alt (sqrt (+ (* x -1/2) 1/2))> |
#<alt (+ (* x -1/2) 1/2)> |
#<alt (+ (* (pow (PI) 2/3) (* 1/2 (cbrt (PI)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2))> |
#<alt (pow (PI) 2/3)> |
#<alt (* 1/2 (cbrt (PI)))> |
#<alt (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))> |
#<alt (+ (* (PI) (/ (* 1/4 (PI)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))> |
#<alt (/ (* 1/4 (PI)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))> |
#<alt (/ (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))))> |
#<alt (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))> |
#<alt (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6))> |
#<alt (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64)> |
#<alt (acos (sqrt (+ (* x -1/2) 1/2)))> |
#<alt (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))> |
#<alt (cbrt (PI))> |
#<alt (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))> |
#<alt (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2)> |
#<alt (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)> |
#<alt (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4)> |
#<alt (* (PI) (* (PI) (PI)))> |
| Outputs |
|---|
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))> |
#<alt (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))> |
#<alt (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))> |
#<alt (* (sqrt x) (sqrt -1/2))> |
#<alt (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))> |
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))> |
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))> |
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))> |
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))> |
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/2 x))> |
#<alt (+ 1/2 (* -1/2 x))> |
#<alt (+ 1/2 (* -1/2 x))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))> |
#<alt (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))> |
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (/ (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
| 4.0ms | x | @ | 0 | (/ (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
| 4.0ms | x | @ | -inf | (/ (* 1/4 (PI)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
| 4.0ms | x | @ | inf | (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
| 3.0ms | x | @ | inf | (/ (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
| 1× | batch-egg-rewrite |
| 7 088× | accelerator-lowering-fma.f32 |
| 7 088× | accelerator-lowering-fma.f64 |
| 6 368× | *-lowering-*.f32 |
| 6 368× | *-lowering-*.f64 |
| 3 520× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 344 |
| 1 | 340 | 324 |
| 2 | 2993 | 324 |
| 0 | 10103 | 284 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) |
(/ (PI) 2) |
(- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) |
(PI) |
(+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* (PI) 1/2)) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
(+ (* (pow (PI) 2/3) (* 1/2 (cbrt (PI)))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) |
(pow (PI) 2/3) |
(* 1/2 (cbrt (PI))) |
(neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(+ (* (PI) (/ (* 1/4 (PI)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))) |
(/ (* 1/4 (PI)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(/ (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
(* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) |
(* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) |
(acos (sqrt (+ (* x -1/2) 1/2))) |
(+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) |
(cbrt (PI)) |
(/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 4) |
(* (PI) (* (PI) (PI))) |
| Outputs |
|---|
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64)) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal 2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64)) |
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (PI.f64) (log.f64 (E.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
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(*.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64))))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (PI.f64)) (log.f64 (PI.f64)))) |
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) |
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) #s(literal 8 binary64)) |
(*.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
| 1× | egg-herbie |
| 19 828× | accelerator-lowering-fma.f32 |
| 19 828× | accelerator-lowering-fma.f64 |
| 5 280× | *-lowering-*.f32 |
| 5 280× | *-lowering-*.f64 |
| 3 016× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 4418 |
| 1 | 491 | 4402 |
| 2 | 1242 | 4394 |
| 3 | 3752 | 4309 |
| 0 | 8066 | 3780 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(* (sqrt x) (sqrt -1/2)) |
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
| Outputs |
|---|
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) |
(fma.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal -1/128 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (sqrt x) (sqrt -1/2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64))) |
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(neg.f64 (*.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
(neg.f64 (*.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
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(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
Compiled 242 919 to 10 531 computations (95.7% saved)
45 alts after pruning (42 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 121 | 32 | 4 153 |
| Fresh | 6 | 10 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 4 129 | 45 | 4 174 |
| Status | Accuracy | Program |
|---|---|---|
| 6.6% | (fma.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 6.5% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))) | |
| 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))) #s(literal -2 binary64))) | |
| ✓ | 6.4% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
| 4.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) | |
| 6.6% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| 6.5% | (fma.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| 6.7% | (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) | |
| 6.6% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 6.6% | (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 6.5% | (fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) | |
| ✓ | 6.6% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ▶ | 4.3% | (fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| 6.5% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 6.4% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 7.8% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| ▶ | 7.9% | (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
| ▶ | 6.6% | (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| 6.5% | (/.f64 (fma.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) | |
| 6.5% | (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) | |
| 6.5% | (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (PI.f64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) | |
| 6.6% | (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) | |
| 6.5% | (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) | |
| 6.6% | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) | |
| 6.5% | (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) | |
| 6.5% | (/.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) | |
| 6.6% | (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))))) | |
| 6.6% | (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 6.6% | (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 6.6% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.5% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| ▶ | 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| ✓ | 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| 6.5% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 6.4% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| ▶ | 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
Compiled 4 719 to 2 058 computations (56.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 448 | (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
| ✓ | cost-diff | 448 | (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 448 | (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 1600 | (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
| ✓ | cost-diff | 30528 | (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) |
| ✓ | cost-diff | 0 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
| 8 514× | accelerator-lowering-fma.f32 |
| 8 514× | accelerator-lowering-fma.f64 |
| 7 098× | *-lowering-*.f32 |
| 7 098× | *-lowering-*.f64 |
| 1 844× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 829 |
| 1 | 164 | 772 |
| 2 | 356 | 762 |
| 3 | 845 | 762 |
| 4 | 1740 | 692 |
| 5 | 4559 | 692 |
| 0 | 8987 | 615 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (PI) -1/2) (* 2 (acos (sqrt (+ (* -1/2 x) 1/2))))) |
(PI) |
-1/2 |
(* 2 (acos (sqrt (+ (* -1/2 x) 1/2)))) |
2 |
(acos (sqrt (+ (* -1/2 x) 1/2))) |
(sqrt (+ (* -1/2 x) 1/2)) |
(+ (* -1/2 x) 1/2) |
x |
1/2 |
(+ (* (asin (sqrt 1/2)) -2) (* (PI) 1/2)) |
(asin (sqrt 1/2)) |
(sqrt 1/2) |
1/2 |
-2 |
(* (PI) 1/2) |
(PI) |
(+ (* 4 (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI))))) (/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
4 |
(/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))) |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
1/2 |
2 |
(+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI))) |
-2 |
(* -1/2 (PI)) |
(PI) |
(/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(* (PI) (* (PI) 1/4)) |
(* (PI) 1/4) |
1/4 |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(* (PI) 1/2) |
(* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))) |
(/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) |
(+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) |
(PI) |
(* (PI) 1/4) |
1/4 |
(* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) |
-4 |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
1/2 |
2 |
(+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4)))) |
4 |
(neg (* (PI) (* (PI) 1/4))) |
(* (PI) (* (PI) 1/4)) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI))) |
(* -1/2 (PI)) |
(/ (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
(* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) |
(* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) |
(* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) |
(* (PI) (PI)) |
(PI) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(* (PI) (* (PI) (PI))) |
1/64 |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6) |
(* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) |
2 |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
1/2 |
6 |
(/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
1 |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(* (PI) 1/2) |
(+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) |
(* (* (PI) (PI)) (* (PI) (PI))) |
1/16 |
(+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) |
(pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) |
(* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) |
(+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) |
(* 1/2 (sqrt (PI))) |
(sqrt (PI)) |
(neg (acos (sqrt (+ (* x -1/2) 1/2)))) |
(acos (sqrt (+ (* x -1/2) 1/2))) |
4 |
(pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2) |
(* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) |
| Outputs |
|---|
(+ (* (PI) -1/2) (* 2 (acos (sqrt (+ (* -1/2 x) 1/2))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(PI) |
(PI.f64) |
-1/2 |
#s(literal -1/2 binary64) |
(* 2 (acos (sqrt (+ (* -1/2 x) 1/2)))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
2 |
#s(literal 2 binary64) |
(acos (sqrt (+ (* -1/2 x) 1/2))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt (+ (* -1/2 x) 1/2)) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(+ (* -1/2 x) 1/2) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (asin (sqrt 1/2)) -2) (* (PI) 1/2)) |
(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(asin (sqrt 1/2)) |
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-2 |
#s(literal -2 binary64) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
(+ (* 4 (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI))))) (/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
4 |
#s(literal 4 binary64) |
(/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))) |
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
2 |
#s(literal 2 binary64) |
(+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
-2 |
#s(literal -2 binary64) |
(* -1/2 (PI)) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
(PI) |
(PI.f64) |
(/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* (PI) (* (PI) 1/4)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (PI) 1/4) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) |
#s(literal -1 binary64) |
(+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(PI) |
(PI.f64) |
(* (PI) 1/4) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
2 |
#s(literal 2 binary64) |
(+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4)))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
4 |
#s(literal 4 binary64) |
(neg (* (PI) (* (PI) 1/4))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) |
(* (PI) (* (PI) 1/4)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(* -1/2 (PI)) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
(/ (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/64 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64))))) |
(* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/64 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64))) |
(* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64))))) |
(* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI) |
(PI.f64) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
1/64 |
#s(literal 1/64 binary64) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6) |
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64)) |
(* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
2 |
#s(literal 2 binary64) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
6 |
#s(literal 6 binary64) |
(/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64))) |
(* (* (PI) (PI)) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
1/16 |
#s(literal 1/16 binary64) |
(+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) |
(+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) |
(pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64)) |
(* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) |
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) |
(+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 1/2 (sqrt (PI))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(neg (acos (sqrt (+ (* x -1/2) 1/2)))) |
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(acos (sqrt (+ (* x -1/2) 1/2))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
4 |
#s(literal 4 binary64) |
(pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2) |
(pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) |
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.5% | (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) |
| ✓ | accuracy | 98.5% | (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 61.4% | (PI.f64) |
| ✓ | accuracy | 45.2% | (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) |
| ✓ | accuracy | 61.4% | (PI.f64) |
| ✓ | accuracy | 45.2% | (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| ✓ | accuracy | 45.0% | (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
| ✓ | accuracy | 45.0% | (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
| ✓ | accuracy | 99.1% | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 61.4% | (PI.f64) |
| ✓ | accuracy | 45.0% | (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 (PI.f64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.1% | (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | accuracy | 61.4% | (PI.f64) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 61.4% | (PI.f64) |
| ✓ | accuracy | 45.0% | (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
| 789.0ms | 102× | 5 | exit |
| 386.0ms | 154× | 2 | valid |
Compiled 786 to 75 computations (90.5% saved)
ival-asin: 353.0ms (34.9% of total)adjust: 181.0ms (17.9% of total)ival-mult: 172.0ms (17% of total)ival-add: 82.0ms (8.1% of total)ival-acos: 77.0ms (7.6% of total)ival-div: 41.0ms (4.1% of total)ival-sqrt: 36.0ms (3.6% of total)ival-pow2: 22.0ms (2.2% of total)ival-pow: 17.0ms (1.7% of total)ival-neg: 11.0ms (1.1% of total)ival-sub: 9.0ms (0.9% of total)ival-pi: 6.0ms (0.6% of total)exact: 4.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (PI) -1/2) (* 2 (acos (sqrt (+ (* -1/2 x) 1/2)))))> |
#<alt (PI)> |
#<alt (* 2 (acos (sqrt (+ (* -1/2 x) 1/2))))> |
#<alt (acos (sqrt (+ (* -1/2 x) 1/2)))> |
#<alt (+ (* (asin (sqrt 1/2)) -2) (* (PI) 1/2))> |
#<alt (asin (sqrt 1/2))> |
#<alt (sqrt 1/2)> |
#<alt (* (PI) 1/2)> |
#<alt (+ (* 4 (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI))))) (/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))> |
#<alt (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI))))> |
#<alt (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)> |
#<alt (asin (sqrt (+ (* x -1/2) 1/2)))> |
#<alt (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4)))))> |
#<alt (* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI))))> |
#<alt (neg (* (PI) (* (PI) 1/4)))> |
#<alt (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)))> |
#<alt (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))> |
#<alt (* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))> |
#<alt (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))> |
#<alt (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))> |
#<alt (sqrt (+ (* -1/2 x) 1/2))> |
#<alt (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))> |
#<alt (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))> |
#<alt (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6))> |
#<alt (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)> |
| Outputs |
|---|
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))> |
#<alt (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))> |
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)> |
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))> |
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))> |
#<alt (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))> |
#<alt (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))> |
#<alt (* (sqrt x) (sqrt -1/2))> |
#<alt (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))> |
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))> |
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))> |
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))> |
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))> |
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | inf | (+ (* (PI) -1/2) (* 2 (acos (sqrt (+ (* -1/2 x) 1/2))))) |
| 20.0ms | x | @ | -inf | (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) |
| 9.0ms | x | @ | inf | (* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))) |
| 1.0ms | x | @ | 0 | (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) |
| 1.0ms | x | @ | inf | (+ (* 4 (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI))))) (/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
| 1× | batch-egg-rewrite |
| 9 562× | accelerator-lowering-fma.f32 |
| 9 562× | accelerator-lowering-fma.f64 |
| 6 036× | *-lowering-*.f32 |
| 6 036× | *-lowering-*.f64 |
| 2 474× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 396 |
| 1 | 421 | 361 |
| 2 | 3872 | 361 |
| 0 | 9851 | 317 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (PI) -1/2) (* 2 (acos (sqrt (+ (* -1/2 x) 1/2))))) |
(PI) |
(* 2 (acos (sqrt (+ (* -1/2 x) 1/2)))) |
(acos (sqrt (+ (* -1/2 x) 1/2))) |
(+ (* (asin (sqrt 1/2)) -2) (* (PI) 1/2)) |
(asin (sqrt 1/2)) |
(sqrt 1/2) |
(* (PI) 1/2) |
(+ (* 4 (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI))))) (/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))) |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) |
(* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))) |
(neg (* (PI) (* (PI) 1/4))) |
(+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) |
(+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) |
(* (- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) |
(* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) |
(sqrt (+ (* -1/2 x) 1/2)) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI))) |
(+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4)))) |
(- (* (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
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(*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 18 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/4096 binary64)) (fma.f64 #s(literal 4096 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 12 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/4096 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))))))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) |
(neg.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) |
(pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64)) |
(pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(*.f64 #s(literal 64 binary64) (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 64 binary64)) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) |
(*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
| 1× | egg-herbie |
| 22 436× | accelerator-lowering-fma.f32 |
| 22 436× | accelerator-lowering-fma.f64 |
| 6 320× | *-lowering-*.f32 |
| 6 320× | *-lowering-*.f64 |
| 1 786× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 4666 |
| 1 | 463 | 4650 |
| 2 | 1116 | 4642 |
| 3 | 3143 | 4599 |
| 4 | 6604 | 4599 |
| 0 | 8124 | 4043 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
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(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
| Outputs |
|---|
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
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(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(*.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(neg.f64 (*.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x)) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
Compiled 196 547 to 10 224 computations (94.8% saved)
58 alts after pruning (54 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 957 | 27 | 2 984 |
| Fresh | 10 | 27 | 37 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 2 971 | 58 | 3 029 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.6% | (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| 4.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) | |
| 6.2% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) | |
| 6.5% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))) | |
| 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))) #s(literal -2 binary64))) | |
| ✓ | 6.4% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
| 6.6% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| 6.7% | (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) | |
| 6.6% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 6.6% | (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 4.3% | (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) | |
| 6.2% | (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) | |
| 6.5% | (fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) | |
| ✓ | 6.6% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ✓ | 4.3% | (fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| 6.5% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 6.4% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 7.8% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| ✓ | 7.9% | (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
| ▶ | 5.2% | (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| ▶ | 7.9% | (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| 6.4% | (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 6.5% | (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) | |
| 6.5% | (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (PI.f64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) | |
| 6.5% | (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) | |
| 6.6% | (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))) | |
| 6.6% | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) | |
| 6.5% | (/.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) | |
| 6.6% | (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))))) | |
| 6.6% | (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 6.6% | (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 6.6% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| ▶ | 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.5% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 6.5% | (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.5% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| ▶ | 6.5% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
| 6.5% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 7.9% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 4.5% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 4.5% | (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))))))) (-.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
Compiled 6 266 to 2 914 computations (53.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 448 | (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
| ✓ | cost-diff | 448 | (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 1600 | (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
| ✓ | cost-diff | 1600 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| 7 918× | accelerator-lowering-fma.f32 |
| 7 918× | accelerator-lowering-fma.f64 |
| 7 534× | *-lowering-*.f32 |
| 7 534× | *-lowering-*.f64 |
| 1 576× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1129 |
| 1 | 209 | 1071 |
| 2 | 444 | 1051 |
| 3 | 1152 | 1051 |
| 4 | 2450 | 1051 |
| 5 | 5369 | 1051 |
| 6 | 7298 | 1051 |
| 0 | 8192 | 951 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))))) (/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
4 |
(/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))))) |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
1/2 |
2 |
(+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))) |
-2 |
(* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(* (PI) (sqrt (PI))) |
(PI) |
(sqrt (PI)) |
(sqrt (sqrt (PI))) |
(/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(* (PI) (* (PI) 1/4)) |
(* (PI) 1/4) |
1/4 |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(* (PI) 1/2) |
(+ (* (PI) -1/2) (* 2 (acos (sqrt 1/2)))) |
(PI) |
-1/2 |
(* 2 (acos (sqrt 1/2))) |
2 |
(acos (sqrt 1/2)) |
(sqrt 1/2) |
1/2 |
(+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 4 (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) -1/2)))) (/ (* 1/4 (* (PI) (PI))) (+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2)))) |
(pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) |
(asin (sqrt (+ (* -1/2 x) 1/2))) |
(sqrt (+ (* -1/2 x) 1/2)) |
(+ (* -1/2 x) 1/2) |
-1/2 |
x |
1/2 |
2 |
(/ 4 (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) -1/2))) |
4 |
(+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) -1/2)) |
-2 |
(* (PI) -1/2) |
(PI) |
(/ (* 1/4 (* (PI) (PI))) (+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2))) |
(* 1/4 (* (PI) (PI))) |
1/4 |
(* (PI) (PI)) |
(+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2)) |
(* (PI) 1/2) |
(* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))) |
(/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))) |
(+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) |
(PI) |
(* (PI) 1/4) |
1/4 |
(* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) |
-4 |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
1/2 |
2 |
(+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2)) |
(sqrt (PI)) |
(* (sqrt (PI)) (* (PI) -1/4)) |
(* (PI) -1/4) |
-1/4 |
(pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2) |
(* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) |
-2 |
(asin (sqrt (+ (* -1/2 x) 1/2))) |
(sqrt (+ (* -1/2 x) 1/2)) |
(+ (* -1/2 x) 1/2) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI))) |
(* -1/2 (PI)) |
(/ (* (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
(* (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) |
(* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) |
(* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) |
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(* (PI) (sqrt (PI))) |
(PI) |
(sqrt (PI)) |
(sqrt (sqrt (PI))) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(* (PI) (* (PI) (PI))) |
(* (PI) (PI)) |
1/64 |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6) |
(* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) |
2 |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(sqrt (+ (* x -1/2) 1/2)) |
(+ (* x -1/2) 1/2) |
x |
-1/2 |
1/2 |
6 |
(/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
1 |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(* (PI) 1/2) |
(+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) |
(* (* (PI) (PI)) (* (PI) (PI))) |
1/16 |
(+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) |
(pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) |
(* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) |
(+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) |
(* 1/2 (sqrt (PI))) |
(neg (acos (sqrt (+ (* x -1/2) 1/2)))) |
(acos (sqrt (+ (* x -1/2) 1/2))) |
4 |
(pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2) |
(* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) |
| Outputs |
|---|
(+ (* 4 (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))))) (/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
4 |
#s(literal 4 binary64) |
(/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))))) |
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
2 |
#s(literal 2 binary64) |
(+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
-2 |
#s(literal -2 binary64) |
(* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(* (PI) (sqrt (PI))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI) |
(PI.f64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(sqrt (sqrt (PI))) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
(/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(* (PI) (* (PI) 1/4)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (PI) 1/4) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(* (PI) 1/2) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(+ (* (PI) -1/2) (* 2 (acos (sqrt 1/2)))) |
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(PI) |
(PI.f64) |
-1/2 |
#s(literal -1/2 binary64) |
(* 2 (acos (sqrt 1/2))) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
2 |
#s(literal 2 binary64) |
(acos (sqrt 1/2)) |
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 4 (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) -1/2)))) (/ (* 1/4 (* (PI) (PI))) (+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin (sqrt (+ (* -1/2 x) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* -1/2 x) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* -1/2 x) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
x |
1/2 |
#s(literal 1/2 binary64) |
2 |
#s(literal 2 binary64) |
(/ 4 (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) -1/2))) |
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
4 |
#s(literal 4 binary64) |
(+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) -1/2)) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
-2 |
#s(literal -2 binary64) |
(* (PI) -1/2) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
(PI) |
(PI.f64) |
(/ (* 1/4 (* (PI) (PI))) (+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(* 1/4 (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
1/4 |
#s(literal 1/4 binary64) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2)) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(* (PI) 1/2) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) |
(/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) |
(+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(PI) |
(PI.f64) |
(* (PI) 1/4) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
2 |
#s(literal 2 binary64) |
(+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2)) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(* (sqrt (PI)) (* (PI) -1/4)) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64)) |
(* (PI) -1/4) |
(*.f64 (PI.f64) #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) |
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(asin (sqrt (+ (* -1/2 x) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* -1/2 x) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* -1/2 x) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(* -1/2 (PI)) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
(/ (* (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/64 binary64)))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(* (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(neg.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/64 binary64)))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64))) |
(* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))))) |
(* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) |
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(* (PI) (sqrt (PI))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI) |
(PI.f64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(sqrt (sqrt (PI))) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
1/64 |
#s(literal 1/64 binary64) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64)) |
(* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) |
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (+ (* x -1/2) 1/2)) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* x -1/2) 1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
6 |
#s(literal 6 binary64) |
(/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
1 |
#s(literal 1 binary64) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(* (PI) 1/2) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64))) |
(* (* (PI) (PI)) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
1/16 |
#s(literal 1/16 binary64) |
(+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)) |
(+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 2 binary64))) |
(pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) |
(pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64)) |
(* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) |
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) |
(+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(* 1/2 (sqrt (PI))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) |
(neg (acos (sqrt (+ (* x -1/2) 1/2)))) |
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(acos (sqrt (+ (* x -1/2) 1/2))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
4 |
#s(literal 4 binary64) |
(pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 2 binary64)) |
(* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) |
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.6% | (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) |
| ✓ | accuracy | 97.6% | (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) |
| ✓ | accuracy | 97.5% | (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 8.5% | (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 8.3% | (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
| ✓ | accuracy | 7.0% | (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| ✓ | accuracy | 6.9% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.6% | (PI.f64) |
| ✓ | accuracy | 98.5% | (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 7.0% | (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.6% | (PI.f64) |
| ✓ | accuracy | 98.5% | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 8.4% | (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| 411.0ms | 123× | 3 | valid |
| 400.0ms | 132× | 2 | valid |
| 3.0ms | 1× | 4 | exit |
Compiled 1 056 to 92 computations (91.3% saved)
ival-mult: 214.0ms (32.8% of total)ival-asin: 110.0ms (16.9% of total)adjust: 89.0ms (13.6% of total)ival-add: 57.0ms (8.7% of total)ival-div: 42.0ms (6.4% of total)ival-sqrt: 40.0ms (6.1% of total)ival-pow2: 36.0ms (5.5% of total)ival-acos: 30.0ms (4.6% of total)ival-pow: 15.0ms (2.3% of total)ival-sub: 7.0ms (1.1% of total)ival-pi: 4.0ms (0.6% of total)exact: 4.0ms (0.6% of total)ival-neg: 3.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* 4 (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))))) (/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))> |
#<alt (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))))> |
#<alt (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)> |
#<alt (asin (sqrt (+ (* x -1/2) 1/2)))> |
#<alt (+ (* (PI) -1/2) (* 2 (acos (sqrt 1/2))))> |
#<alt (PI)> |
#<alt (* 2 (acos (sqrt 1/2)))> |
#<alt (acos (sqrt 1/2))> |
#<alt (+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 4 (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) -1/2)))) (/ (* 1/4 (* (PI) (PI))) (+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2))))> |
#<alt (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)> |
#<alt (asin (sqrt (+ (* -1/2 x) 1/2)))> |
#<alt (sqrt (+ (* -1/2 x) 1/2))> |
#<alt (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))> |
#<alt (* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI))))> |
#<alt (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2)))> |
#<alt (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)))> |
#<alt (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))> |
#<alt (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))> |
#<alt (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))> |
#<alt (/ (* (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))))> |
#<alt (sqrt (PI))> |
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))> |
#<alt (sqrt 1/2)> |
#<alt (/ (* 1/4 (* (PI) (PI))) (+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2)))> |
#<alt (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))> |
#<alt (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6))> |
#<alt (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)> |
#<alt (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4)> |
| Outputs |
|---|
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
#<alt (+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))> |
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#<alt (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4))> |
#<alt (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))) |
| 1.0ms | x | @ | inf | (/ (* (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
| 1.0ms | x | @ | -inf | (/ (* (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
| 1.0ms | x | @ | 0 | (/ (* (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
| 1.0ms | x | @ | inf | (* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))) |
| 1× | batch-egg-rewrite |
| 8 180× | accelerator-lowering-fma.f32 |
| 8 180× | accelerator-lowering-fma.f64 |
| 4 522× | *-lowering-*.f32 |
| 4 522× | *-lowering-*.f64 |
| 2 172× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 536 |
| 1 | 549 | 461 |
| 2 | 4481 | 453 |
| 0 | 8412 | 398 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))))) (/ (* (PI) (* (PI) 1/4)) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) |
(/ (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))))) |
(pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) |
(asin (sqrt (+ (* x -1/2) 1/2))) |
(+ (* (PI) -1/2) (* 2 (acos (sqrt 1/2)))) |
(PI) |
(* 2 (acos (sqrt 1/2))) |
(acos (sqrt 1/2)) |
(+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 4 (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) -1/2)))) (/ (* 1/4 (* (PI) (PI))) (+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2)))) |
(pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) |
(asin (sqrt (+ (* -1/2 x) 1/2))) |
(sqrt (+ (* -1/2 x) 1/2)) |
(+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2)) |
(* (/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))) |
(/ (+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) (+ (* (sqrt (PI)) (* (sqrt (PI)) (* (PI) -1/4))) (pow (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 2))) |
(+ (* (PI) (* (PI) 1/4)) (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2))) |
(+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) |
(+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2))) |
(* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) |
(/ (* (- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) (pow (* (PI) (asin (sqrt (+ (* x -1/2) 1/2)))) 2)))) |
(sqrt (PI)) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(sqrt 1/2) |
(/ (* 1/4 (* (PI) (PI))) (+ (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (PI) 1/2))) |
(+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI))) |
(- (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 1/64) (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6)) |
(pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 6) |
(pow (* 2 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) 4) |
| Outputs |
|---|
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(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64))) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(*.f64 #s(literal 64 binary64) (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 64 binary64)) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64)) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 4 binary64))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (log.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64) (log.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) |
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 16 binary64)) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -4 binary64)) |
(*.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 25 796× | accelerator-lowering-fma.f32 |
| 25 796× | accelerator-lowering-fma.f64 |
| 6 268× | *-lowering-*.f32 |
| 6 268× | *-lowering-*.f64 |
| 3 170× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 5890 |
| 1 | 481 | 5874 |
| 2 | 1217 | 5866 |
| 3 | 3728 | 5823 |
| 4 | 7937 | 5823 |
| 0 | 8450 | 5135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))) |
(/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))) |
(/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))) |
(/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))) |
(/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))) |
(/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))) |
(/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))) |
(/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))) |
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(/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))) |
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(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
| Outputs |
|---|
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))) |
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))) |
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
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(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal -64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(* 16 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 4)) |
(*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
Compiled 231 866 to 12 592 computations (94.6% saved)
70 alts after pruning (62 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 429 | 24 | 3 453 |
| Fresh | 11 | 38 | 49 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 3 441 | 70 | 3 511 |
| Status | Accuracy | Program |
|---|---|---|
| 6.5% | (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 6.2% | (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64))))) | |
| ✓ | 6.6% | (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| 4.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) | |
| 4.0% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) | |
| 6.5% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))) | |
| 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))) #s(literal -2 binary64))) | |
| ✓ | 6.4% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
| 6.6% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| 6.5% | (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) | |
| 6.7% | (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) | |
| 6.6% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 1/4 binary64)))) | |
| 4.3% | (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) | |
| 4.3% | (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) | |
| 6.2% | (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) | |
| 4.0% | (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) | |
| 6.5% | (fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) | |
| ✓ | 6.6% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ✓ | 4.3% | (fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| 6.5% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| 7.8% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| ✓ | 7.9% | (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
| ✓ | 5.2% | (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| ✓ | 7.9% | (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| 6.4% | (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 6.5% | (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) | |
| 6.5% | (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (PI.f64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) | |
| 6.5% | (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) | |
| 6.6% | (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))) | |
| 6.6% | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) | |
| 6.5% | (/.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) | |
| 6.6% | (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))))) | |
| 6.6% | (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 6.6% | (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 6.6% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 18 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/4096 binary64)) (fma.f64 #s(literal 4096 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 12 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.4% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 18 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/4096 binary64)) (fma.f64 #s(literal 4096 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 12 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 2 binary64)))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 6.6% | (-.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 1/4 binary64)) #s(literal -2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))) | |
| 6.5% | (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.5% | (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.5% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.5% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.5% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) | |
| ✓ | 6.5% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
| 7.9% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 4.5% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 6.6% | (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| 4.5% | (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))))))) (-.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
Compiled 10 159 to 2 450 computations (75.9% saved)
| Inputs |
|---|
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
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(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (PI.f64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (/.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))) |
| Outputs |
|---|
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
7 calls:
| 18.5s | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 14.4s | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 14.2s | x |
| 13.3s | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 13.2s | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.9% | 1 | x |
| 7.9% | 1 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 7.9% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.9% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.9% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.9% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.9% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 51 to 41 computations (19.6% saved)
| Inputs |
|---|
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))) #s(literal -2 binary64))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 1/4 binary64)))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
(fma.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
7 calls:
| 14.5s | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 14.2s | (-.f64 #s(literal 1 binary64) x) |
| 13.0ms | x |
| 12.0ms | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.9% | 1 | x |
| 7.9% | 1 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 7.9% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.9% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.9% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.9% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.9% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 51 to 41 computations (19.6% saved)
Total -1.4b remaining (-2.3%)
Threshold costs -1.4b (-2.3%)
| Inputs |
|---|
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
7 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 1.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 1.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.2% | 1 | x |
| 5.2% | 1 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 5.2% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 5.2% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 5.2% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 5.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 5.2% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 51 to 41 computations (19.6% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 66 |
| 1 | 43 | 66 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| 22 436× | accelerator-lowering-fma.f32 |
| 22 436× | accelerator-lowering-fma.f64 |
| 19 828× | accelerator-lowering-fma.f32 |
| 19 828× | accelerator-lowering-fma.f64 |
| 9 562× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 4418 |
| 1 | 491 | 4402 |
| 2 | 1242 | 4394 |
| 3 | 3752 | 4309 |
| 0 | 8066 | 3780 |
| 0 | 57 | 344 |
| 1 | 340 | 324 |
| 2 | 2993 | 324 |
| 0 | 10103 | 284 |
| 0 | 11 | 35 |
| 1 | 81 | 35 |
| 2 | 618 | 35 |
| 3 | 7258 | 35 |
| 0 | 8201 | 30 |
| 0 | 72 | 396 |
| 1 | 421 | 361 |
| 2 | 3872 | 361 |
| 0 | 9851 | 317 |
| 0 | 183 | 4666 |
| 1 | 463 | 4650 |
| 2 | 1116 | 4642 |
| 3 | 3143 | 4599 |
| 4 | 6604 | 4599 |
| 0 | 8124 | 4043 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 130 to 86 computations (33.8% saved)
Compiled 168 to 96 computations (42.9% saved)
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