
Time bar (total: 2.3min)
| 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 12 computations (20% saved)
ival-div: 1.0ms (41.2% of total)ival-asin: 1.0ms (41.2% of total)ival-pi: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1.6s | 3299× | 2 | valid |
| 1.2s | 4769× | 1 | valid |
| 16.0ms | 188× | 0 | valid |
| 0.0ms | 4× | 0 | invalid |
ival-asin: 1.0s (44.4% of total)ival-div: 298.0ms (12.8% of total)ival-sub: 251.0ms (10.8% of total)ival-sqrt: 231.0ms (9.9% of total)backward-pass: 180.0ms (7.7% of total)ival-mult: 171.0ms (7.3% of total)ival-pi: 144.0ms (6.2% of total)const: 24.0ms (1% of total)| 2× | egg-herbie |
| 770× | fnmadd-define |
| 612× | fmsub-define |
| 590× | fnmsub-define |
| 466× | fmm-def |
| 362× | fma-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 42 |
| 1 | 47 | 40 |
| 2 | 97 | 37 |
| 3 | 224 | 33 |
| 4 | 461 | 33 |
| 5 | 904 | 33 |
| 6 | 1445 | 33 |
| 7 | 1907 | 33 |
| 8 | 2282 | 33 |
| 9 | 2415 | 33 |
| 10 | 2439 | 33 |
| 0 | 11 | 13 |
| 1 | 26 | 13 |
| 2 | 40 | 12 |
| 3 | 67 | 12 |
| 4 | 105 | 11 |
| 5 | 172 | 11 |
| 6 | 292 | 11 |
| 7 | 441 | 11 |
| 8 | 560 | 11 |
| 9 | 850 | 11 |
| 10 | 1041 | 11 |
| 11 | 1063 | 11 |
| 0 | 1063 | 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))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64))) |
| Inputs |
|---|
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))) |
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))) |
| Outputs |
|---|
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
(fnmsub 2 (asin (sqrt (fnmsub x 1/2 -1/2))) (* (PI) -1/2)) |
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))) |
(fnmsub 2 (asin (sqrt (fnmsub x -1/2 -1/2))) (* (PI) -1/2)) |
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))) |
(fnmsub (asin (sqrt (fnmsub x -1/2 -1/2))) -2 (* (PI) 1/2)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 253 | 1 | (0.007560312360424406) | 1 | (-0.027668906033494887) | (-.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 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | x |
| 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 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.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 | - | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 138.0ms | 268× | 1 | valid |
| 134.0ms | 226× | 2 | valid |
| 2.0ms | 18× | 0 | valid |
Compiled 118 to 35 computations (70.3% saved)
ival-asin: 64.0ms (40.2% of total)ival-div: 26.0ms (16.3% of total)ival-pi: 17.0ms (10.7% of total)backward-pass: 16.0ms (10% of total)ival-sub: 13.0ms (8.2% of total)ival-sqrt: 11.0ms (6.9% of total)ival-mult: 11.0ms (6.9% of total)const: 2.0ms (1.3% of total)Compiled 14 to 12 computations (14.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.7% | (-.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 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 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)))))) |
| 292× | fnmadd-define |
| 232× | sum3-define |
| 212× | fma-lowering-fma.f32 |
| 212× | fma-define |
| 212× | fmsub-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 26 | 50 |
| 2 | 40 | 49 |
| 3 | 67 | 49 |
| 4 | 105 | 44 |
| 5 | 172 | 44 |
| 6 | 292 | 44 |
| 7 | 441 | 44 |
| 8 | 560 | 44 |
| 9 | 850 | 44 |
| 10 | 1041 | 44 |
| 11 | 1063 | 44 |
| 0 | 1063 | 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))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 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 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))) |
(asin (sqrt (/ (- 1 x) 2))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(sqrt (/ (- 1 x) 2)) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(/ (- 1 x) 2) |
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 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 | 9.5% | (-.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)))))) |
| 78.0ms | 113× | 2 | valid |
| 43.0ms | 134× | 1 | valid |
| 1.0ms | 9× | 0 | valid |
Compiled 52 to 12 computations (76.9% saved)
ival-asin: 35.0ms (46.9% of total)ival-div: 10.0ms (13.4% of total)backward-pass: 9.0ms (12.1% of total)ival-sub: 6.0ms (8% of total)ival-sqrt: 5.0ms (6.7% of total)ival-mult: 5.0ms (6.7% of total)ival-pi: 3.0ms (4% of total)const: 1.0ms (1.3% of total)| Inputs |
|---|
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))> |
#<alt (/ (PI) 2)> |
#<alt (PI)> |
#<alt (* 2 (asin (sqrt (/ (- 1 x) 2))))> |
#<alt (asin (sqrt (/ (- 1 x) 2)))> |
#<alt (sqrt (/ (- 1 x) 2))> |
| Outputs |
|---|
#<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 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))> |
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))> |
#<alt (* 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 | @ | 0 | (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
| 1.0ms | x | @ | 0 | (sqrt (/ (- 1 x) 2)) |
| 0.0ms | x | @ | inf | (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
| 1× | batch-egg-rewrite |
| 4800× | *-lowering-*.f32 |
| 4800× | *-lowering-*.f64 |
| 3020× | /-lowering-/.f32 |
| 3020× | /-lowering-/.f64 |
| 1152× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 85 | 38 |
| 2 | 656 | 38 |
| 0 | 8134 | 38 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
(/ (PI) 2) |
(PI) |
(* 2 (asin (sqrt (/ (- 1 x) 2)))) |
(asin (sqrt (/ (- 1 x) 2))) |
(sqrt (/ (- 1 x) 2)) |
| Outputs |
|---|
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(+.f64 (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) |
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 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 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))) |
(+.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))) |
(*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #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 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (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 8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 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)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 4346× | *-lowering-*.f32 |
| 4346× | *-lowering-*.f64 |
| 2544× | +-lowering-+.f64 |
| 2544× | +-lowering-+.f32 |
| 1670× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 667 |
| 1 | 284 | 641 |
| 2 | 975 | 619 |
| 3 | 3438 | 611 |
| 0 | 8107 | 611 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 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))))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(* 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 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(*.f64 #s(literal 2 binary64) (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 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)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 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 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/8 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)) (+.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1/16 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (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 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.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 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1 binary64)))))) |
(* 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 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1 binary64)))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.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))))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (-.f64 (*.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))))))) |
(*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.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)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.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))))))) |
Compiled 10128 to 1187 computations (88.3% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 317 | 17 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 317 | 18 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| 7.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) (*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))) | |
| 7.7% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| 7.7% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) | |
| 7.7% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))) | |
| 7.7% | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))) | |
| 7.7% | (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) | |
| ▶ | 7.7% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) |
| 7.7% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| ▶ | 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) |
| 7.7% | (-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) | |
| ▶ | 9.5% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 7.7% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) | |
| 7.5% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))) | |
| ✓ | 7.7% | (-.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)))))) |
| ▶ | 4.1% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| 7.7% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))) | |
| ▶ | 7.7% | (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
Compiled 2396 to 757 computations (68.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) |
| ✓ | 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 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) |
| ✓ | 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 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 384 | (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 448 | (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))) |
| ✓ | cost-diff | 576 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) |
| ✓ | cost-diff | 64 | (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 64 | (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 27328 | (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 64 | (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 192 | (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 192 | (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 192 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 3398× | *-lowering-*.f32 |
| 3398× | *-lowering-*.f64 |
| 1818× | +-lowering-+.f64 |
| 1818× | +-lowering-+.f32 |
| 1564× | fnmadd-define |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 857 |
| 1 | 144 | 801 |
| 2 | 381 | 796 |
| 3 | 1160 | 736 |
| 4 | 3340 | 720 |
| 5 | 7375 | 663 |
| 0 | 8539 | 663 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2))) |
(/ (PI) 2) |
(PI) |
2 |
(+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)) |
(* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2) |
(- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) |
0 |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
1/2 |
(/ x 2) |
x |
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2)))) |
(/ (PI) 2) |
(PI) |
2 |
(* 2 (asin (sqrt 1/2))) |
(asin (sqrt 1/2)) |
(sqrt 1/2) |
1/2 |
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (/ (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) |
(/ (PI) 2) |
(PI) |
2 |
(* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
1/2 |
(/ x 2) |
x |
(/ (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) |
-2 |
(/ 1 (/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)))) |
1 |
(/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3))) |
(+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) |
(/ (PI) (/ 4 (PI))) |
(PI) |
(/ 4 (PI)) |
4 |
(* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2))) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
1/2 |
(/ x 2) |
x |
2 |
-2 |
(- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)) |
(/ (PI) 2) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
(* (PI) (PI)) |
8 |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3) |
3 |
(/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3))) |
(* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) |
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) |
(/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) |
(* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) |
(* (PI) (PI)) |
(PI) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(* (PI) (* (PI) (PI))) |
64 |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6) |
(* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) |
2 |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
1/2 |
(/ x 2) |
x |
6 |
(/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
1 |
(+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))) |
(/ (PI) (/ 4 (PI))) |
(/ 4 (PI)) |
4 |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))) |
(+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
8 |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3) |
3 |
| Outputs |
|---|
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)) |
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) |
(* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2) |
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) |
(- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) |
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) |
0 |
#s(literal 0 binary64) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) |
(- 1/2 (/ x 2)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(* 2 (asin (sqrt 1/2))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.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) |
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (/ (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) |
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) |
(- 1/2 (/ x 2)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
(/ (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) |
(+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) |
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ 1 (/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))) |
1 |
#s(literal 1 binary64) |
(/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3))) |
(/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)))) |
(+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) |
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))) |
(/ (PI) (/ 4 (PI))) |
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(PI) |
(PI.f64) |
(/ 4 (PI)) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2))) |
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) |
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) |
(- 1/2 (/ x 2)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
-2 |
#s(literal -2 binary64) |
(- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)) |
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) |
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
8 |
#s(literal 8 binary64) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))))) |
(* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))) |
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) |
(/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 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))) |
64 |
#s(literal 64 binary64) |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6) |
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64)) |
(* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) |
2 |
#s(literal 2 binary64) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) |
(- 1/2 (/ x 2)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
6 |
#s(literal 6 binary64) |
(/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))) |
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))) |
(/ (PI) (/ 4 (PI))) |
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/ 4 (PI)) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))) |
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))) |
(+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)) |
(+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) |
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3)) |
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
8 |
#s(literal 8 binary64) |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3) |
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 97.5% | (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) |
| ✓ | accuracy | 9.6% | (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) |
| ✓ | accuracy | 98.5% | (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 98.5% | (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 9.5% | (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 99.6% | (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
| ✓ | accuracy | 98.5% | (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 9.5% | (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 98.4% | (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
| ✓ | accuracy | 9.5% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 52.8s | 256× | 2 | valid |
Compiled 939 to 59 computations (93.7% saved)
ival-sub: 19.5s (49% of total)ival-asin: 12.8s (32.1% of total)ival-acos: 6.9s (17.5% of total)ival-add: 207.0ms (0.5% of total)ival-pow: 129.0ms (0.3% of total)ival-div: 95.0ms (0.2% of total)ival-mult: 68.0ms (0.2% of total)backward-pass: 67.0ms (0.2% of total)ival-sqrt: 9.0ms (0% of total)ival-pi: 5.0ms (0% of total)const: 3.0ms (0% of total)| Inputs |
|---|
#<alt (- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)))> |
#<alt (+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2))> |
#<alt (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)> |
#<alt (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2)))> |
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))> |
#<alt (/ (PI) 2)> |
#<alt (PI)> |
#<alt (* 2 (asin (sqrt 1/2)))> |
#<alt (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (/ (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))))> |
#<alt (/ (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))> |
#<alt (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))> |
#<alt (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))> |
#<alt (/ 1 (/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3))))> |
#<alt (/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)))> |
#<alt (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2))))> |
#<alt (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))> |
#<alt (/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3)))> |
#<alt (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))))> |
#<alt (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))> |
#<alt (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))> |
#<alt (acos (pow (- 1/2 (/ x 2)) 1/2))> |
#<alt (pow (- 1/2 (/ x 2)) 1/2)> |
#<alt (asin (sqrt 1/2))> |
#<alt (sqrt 1/2)> |
#<alt (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2))> |
#<alt (asin (pow (- 1/2 (/ x 2)) 1/2))> |
#<alt (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3))> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)> |
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6))> |
#<alt (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)> |
#<alt (* (PI) (* (PI) (* (PI) (PI))))> |
| Outputs |
|---|
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (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 (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))> |
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))> |
#<alt (* -1 (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)))> |
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#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (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 (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 (+ (* -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 (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))> |
#<alt (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))> |
#<alt (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))> |
#<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))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | (/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3))) |
| 7.0ms | x | @ | 0 | (/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3))) |
| 4.0ms | x | @ | -inf | (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (/ (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
| 3.0ms | x | @ | 0 | (/ 1 (/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)))) |
| 3.0ms | x | @ | -inf | (/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3))) |
| 1× | batch-egg-rewrite |
| 4364× | *-lowering-*.f32 |
| 4364× | *-lowering-*.f64 |
| 2010× | pow-lowering-pow.f64 |
| 2010× | pow-lowering-pow.f32 |
| 1718× | unpow-prod-down |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 584 |
| 1 | 416 | 411 |
| 2 | 4670 | 376 |
| 0 | 8571 | 376 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2))) |
(+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)) |
(* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2) |
(- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) |
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2)))) |
(/ (PI) 2) |
(PI) |
(* 2 (asin (sqrt 1/2))) |
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (/ (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
(/ (+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) |
(* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) |
(/ 1 (/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)))) |
(/ (+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3))) |
(+ (/ (PI) (/ 4 (PI))) (* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2)))) |
(* (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (- (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) (/ (PI) 2))) |
(/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3))) |
(* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) |
(/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
(+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(asin (sqrt 1/2)) |
(sqrt 1/2) |
(+ (/ (PI) 2) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) |
(* (PI) (* (PI) (PI))) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3) |
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6) |
(* (PI) (* (PI) (* (PI) (PI)))) |
| Outputs |
|---|
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
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(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)) #s(literal 64 binary64)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 9/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 9/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 9/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 9/2 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -8 binary64)) |
(*.f64 (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 64 binary64)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64))) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 12 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 8 binary64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (PI.f64) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64)) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
| 1× | egg-herbie |
| 4222× | *-lowering-*.f32 |
| 4222× | *-lowering-*.f64 |
| 1718× | +-lowering-+.f64 |
| 1718× | +-lowering-+.f32 |
| 1362× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 5860 |
| 1 | 537 | 5251 |
| 2 | 1415 | 5242 |
| 3 | 4541 | 5239 |
| 0 | 8334 | 5239 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (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))))) |
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(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (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)))) |
(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)))))))) |
(+ (* -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)))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(- (* 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)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) |
(* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
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(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
Compiled 174728 to 8625 computations (95.1% saved)
37 alts after pruning (35 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2724 | 29 | 2753 |
| Fresh | 6 | 6 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2734 | 37 | 2771 |
| Status | Accuracy | Program |
|---|---|---|
| 7.7% | (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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))))) #s(literal 4096 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 12 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 7.7% | (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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))))) #s(literal 4096 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 12 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| ▶ | 9.5% | (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) |
| 7.7% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| 7.7% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) | |
| ▶ | 9.5% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) |
| 9.5% | (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 4.1% | (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) | |
| ▶ | 9.5% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
| 9.4% | (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 9.5% | (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))) | |
| 7.7% | (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) | |
| 7.7% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 7.7% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| ▶ | 7.8% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) |
| 7.5% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 7.7% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 4.0% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.5% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) | |
| 4.1% | (-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) | |
| ▶ | 5.6% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 9.5% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) | |
| 7.7% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) | |
| 7.5% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))) | |
| ✓ | 7.7% | (-.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)))))) |
| ✓ | 4.1% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| 7.7% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))) | |
| 7.7% | (*.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) | |
| 7.7% | (*.f64 (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) | |
| 7.1% | (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/128 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) | |
| 1.5% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
Compiled 4124 to 1808 computations (56.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) |
| ✓ | 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 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) |
| ✓ | 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 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) |
| ✓ | cost-diff | 64 | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 192 | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 5824 | (-.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 6720 | (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 6720 | (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 12544 | (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) |
| 3032× | *-lowering-*.f32 |
| 3032× | *-lowering-*.f64 |
| 2568× | +-lowering-+.f64 |
| 2568× | +-lowering-+.f32 |
| 1872× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 1029 |
| 1 | 185 | 968 |
| 2 | 609 | 952 |
| 3 | 2590 | 952 |
| 0 | 8923 | 952 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
(- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) |
(pow (- (/ (PI) 2) (PI)) 3) |
(- (/ (PI) 2) (PI)) |
(/ (PI) 2) |
(PI) |
2 |
3 |
(pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3) |
(neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
1/2 |
(/ x 2) |
x |
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))) |
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) |
(+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) |
(* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt 1/2))) 2))) |
(/ (PI) 2) |
(PI) |
2 |
(+ (PI) (* (- 0 (acos (sqrt 1/2))) 2)) |
(* (- 0 (acos (sqrt 1/2))) 2) |
(- 0 (acos (sqrt 1/2))) |
0 |
(acos (sqrt 1/2)) |
(sqrt 1/2) |
1/2 |
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) (+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) |
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) |
(- (/ (PI) 2) (PI)) |
(/ (PI) 2) |
(PI) |
2 |
(pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) |
(neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
1/2 |
(/ x 2) |
x |
(+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
(PI) |
(* (PI) (PI)) |
8 |
(pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3) |
(- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
1/2 |
(/ x 2) |
x |
2 |
3 |
(+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))) |
(/ (PI) (/ 4 (PI))) |
(/ 4 (PI)) |
4 |
(* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(/ (PI) 2) |
(/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3))) |
(* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) |
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) |
(/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) |
(* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) |
(* (PI) (PI)) |
(PI) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(* (PI) (* (PI) (PI))) |
64 |
(pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6) |
(* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) |
2 |
(- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2))) |
(/ (PI) 2) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
1/2 |
(/ x 2) |
x |
6 |
(/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
1 |
(+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))) |
(/ (PI) (/ 4 (PI))) |
(/ 4 (PI)) |
4 |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
8 |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3) |
(* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) |
3 |
| Outputs |
|---|
(/ (- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64))))))) |
(- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) |
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) |
(pow (- (/ (PI) 2) (PI)) 3) |
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) |
(- (/ (PI) 2) (PI)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
3 |
#s(literal 3 binary64) |
(pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3) |
(pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)) |
(neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) |
(* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) |
(- 1/2 (/ x 2)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))) |
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64)))))) |
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) |
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) |
(+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64))))) |
(pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) |
(pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64))))) |
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt 1/2))) 2))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(+ (PI) (* (- 0 (acos (sqrt 1/2))) 2)) |
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(* (- 0 (acos (sqrt 1/2))) 2) |
(*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) |
(- 0 (acos (sqrt 1/2))) |
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
0 |
#s(literal 0 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) |
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) (+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) |
(- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) |
(-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) |
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) |
(- (/ (PI) 2) (PI)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) |
(pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) |
(* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) |
(- 1/2 (/ x 2)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
(+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) |
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) |
(-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(PI) |
(PI.f64) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
8 |
#s(literal 8 binary64) |
(pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) |
(* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) |
(- 1/2 (/ x 2)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
3 |
#s(literal 3 binary64) |
(+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/ (PI) (/ 4 (PI))) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(/ 4 (PI)) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))))) |
(* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) |
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 6 binary64))) |
(/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 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))) |
64 |
#s(literal 64 binary64) |
(pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6) |
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 6 binary64)) |
(* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) |
2 |
#s(literal 2 binary64) |
(- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) |
(- 1/2 (/ x 2)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
6 |
#s(literal 6 binary64) |
(/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) |
1 |
#s(literal 1 binary64) |
(+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) |
(/ (PI) (/ 4 (PI))) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(/ 4 (PI)) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))) |
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) |
(+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)) |
(+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) |
(*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3)) |
(+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) |
8 |
#s(literal 8 binary64) |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3) |
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) |
(* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) |
3 |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 97.5% | (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) |
| ✓ | accuracy | 9.6% | (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) |
| ✓ | accuracy | 98.5% | (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
| ✓ | accuracy | 98.5% | (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 9.5% | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
| ✓ | accuracy | 9.5% | (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 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 | 100.0% | (PI.f64) |
| ✓ | accuracy | 98.5% | (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
| ✓ | accuracy | 98.5% | (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) |
| ✓ | accuracy | 98.4% | (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) |
| ✓ | accuracy | 9.6% | (-.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) |
| 1.2s | 256× | 2 | valid |
Compiled 1195 to 68 computations (94.3% saved)
ival-pow: 221.0ms (24.7% of total)ival-div: 181.0ms (20.2% of total)backward-pass: 149.0ms (16.7% of total)ival-acos: 140.0ms (15.7% of total)ival-mult: 71.0ms (7.9% of total)ival-add: 58.0ms (6.5% of total)ival-sub: 36.0ms (4% of total)ival-sqrt: 14.0ms (1.6% of total)ival-asin: 11.0ms (1.2% of total)ival-pi: 5.0ms (0.6% of total)const: 4.0ms (0.4% of total)ival-neg: 4.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ (- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))))> |
#<alt (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))> |
#<alt (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))> |
#<alt (- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3))> |
#<alt (- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt 1/2))) 2)))> |
#<alt (+ (PI) (* (- 0 (acos (sqrt 1/2))) 2))> |
#<alt (* (- 0 (acos (sqrt 1/2))) 2)> |
#<alt (/ (PI) 2)> |
#<alt (/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) (+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))> |
#<alt (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2))> |
#<alt (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)> |
#<alt (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))> |
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))))> |
#<alt (+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))> |
#<alt (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))> |
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3))> |
#<alt (/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3)))> |
#<alt (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))))> |
#<alt (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))> |
#<alt (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))> |
#<alt (pow (- (/ (PI) 2) (PI)) 3)> |
#<alt (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)> |
#<alt (PI)> |
#<alt (acos (sqrt 1/2))> |
#<alt (sqrt 1/2)> |
#<alt (acos (pow (- 1/2 (/ x 2)) 1/2))> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)> |
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6))> |
#<alt (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)> |
#<alt (* (PI) (* (PI) (* (PI) (PI))))> |
| Outputs |
|---|
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
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#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))> |
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))> |
#<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 (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)> |
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)))> |
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))> |
#<alt (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | (/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) (+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
| 6.0ms | x | @ | inf | (/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3))) |
| 3.0ms | x | @ | 0 | (/ (- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
| 3.0ms | x | @ | -inf | (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
| 3.0ms | x | @ | -inf | (/ (- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
| 1× | batch-egg-rewrite |
| 3486× | *-lowering-*.f32 |
| 3486× | *-lowering-*.f64 |
| 2384× | /-lowering-/.f32 |
| 2384× | /-lowering-/.f64 |
| 1818× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 631 |
| 1 | 523 | 447 |
| 2 | 5872 | 403 |
| 0 | 8181 | 403 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))) |
(+ (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(- (pow (- (/ (PI) 2) (PI)) 3) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) |
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt 1/2))) 2))) |
(+ (PI) (* (- 0 (acos (sqrt 1/2))) 2)) |
(* (- 0 (acos (sqrt 1/2))) 2) |
(/ (PI) 2) |
(/ (- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) (+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(- (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) |
(pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) |
(neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
(+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))) |
(* (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) |
(/ (* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 3))) |
(* (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))) |
(/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
(+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))) |
(pow (- (/ (PI) 2) (PI)) 3) |
(pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3) |
(PI) |
(acos (sqrt 1/2)) |
(sqrt 1/2) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(* (PI) (* (PI) (PI))) |
(pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3) |
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6)) |
(pow (* 2 (- (/ (PI) 2) (acos (pow (- 1/2 (/ x 2)) 1/2)))) 6) |
(* (PI) (* (PI) (* (PI) (PI)))) |
| Outputs |
|---|
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal -2 binary64))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))) |
(+.f64 (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) |
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) |
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(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3/2 binary64))) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
| 1× | egg-herbie |
| 4122× | +-lowering-+.f64 |
| 4122× | +-lowering-+.f32 |
| 3060× | *-lowering-*.f32 |
| 3060× | *-lowering-*.f64 |
| 1690× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 6420 |
| 1 | 389 | 5688 |
| 2 | 781 | 5460 |
| 3 | 2529 | 5424 |
| 0 | 8803 | 5424 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* -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))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
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(+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
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(+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) (* (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(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)))) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)) |
| Outputs |
|---|
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(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6))) |
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
(* 64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 6 binary64))) |
Compiled 169610 to 6695 computations (96.1% saved)
42 alts after pruning (40 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2376 | 28 | 2404 |
| Fresh | 18 | 12 | 30 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2399 | 42 | 2441 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
| 7.9% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.6% | (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.6% | (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 9.5% | (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 9.5% | (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))) (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))))))))) | |
| 9.5% | (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.7% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| 7.7% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 9.5% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.7% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) | |
| 7.5% | (/.f64 (-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| ▶ | 9.5% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) |
| 9.5% | (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) | |
| 4.1% | (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) | |
| 7.5% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 9.5% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 9.5% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| ▶ | 9.5% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))))) |
| 9.5% | (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) | |
| ▶ | 9.5% | (/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
| 9.5% | (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))) | |
| 7.7% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 7.8% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 7.8% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 7.7% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) | |
| 4.1% | (-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) | |
| ▶ | 5.6% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
| 9.5% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) | |
| 7.7% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) | |
| 7.5% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))) | |
| ✓ | 7.7% | (-.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)))))) |
| ✓ | 4.1% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| 7.7% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))))) | |
| 7.7% | (*.f64 (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) | |
| 1.5% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
Compiled 5424 to 2066 computations (61.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))))) |
| ✓ | cost-diff | 64 | (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 64 | (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 64 | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 6400 | (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 6528 | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))) |
| ✓ | cost-diff | 256 | (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
| ✓ | cost-diff | 256 | (/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
| 4848× | *-lowering-*.f32 |
| 4848× | *-lowering-*.f64 |
| 1394× | neg-lowering-neg.f64 |
| 1394× | neg-lowering-neg.f32 |
| 1322× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 1064 |
| 1 | 236 | 1001 |
| 2 | 779 | 972 |
| 3 | 4313 | 936 |
| 0 | 8263 | 936 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8)) (+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI))))) |
(+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8)) |
(* (* (PI) (* (PI) (PI))) -1/8) |
(* (PI) (* (PI) (PI))) |
(PI) |
(* (PI) (PI)) |
-1/8 |
(* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(sqrt (- 1/2 (* 1/2 x))) |
(- 1/2 (* 1/2 x)) |
1/2 |
(* 1/2 x) |
x |
3 |
8 |
(+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI)))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) |
(+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(* (* (PI) -1/2) -2) |
(* (PI) -1/2) |
-1/2 |
-2 |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) 4) |
4 |
(* 1/4 (* (PI) (PI))) |
1/4 |
(- (/ (PI) 2) (- (PI) (* (acos (sqrt 1/2)) 2))) |
(/ (PI) 2) |
(PI) |
2 |
(- (PI) (* (acos (sqrt 1/2)) 2)) |
(* (acos (sqrt 1/2)) 2) |
(acos (sqrt 1/2)) |
(sqrt 1/2) |
1/2 |
(/ (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- 0 (pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2))) (+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- 0 (pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2))) |
(- (/ (PI) 2) (PI)) |
(/ (PI) 2) |
(PI) |
2 |
(- 0 (pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2)) |
0 |
(pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2) |
(* 2 (acos (sqrt (+ 1/2 (/ x -2))))) |
(acos (sqrt (+ 1/2 (/ x -2)))) |
(sqrt (+ 1/2 (/ x -2))) |
(+ 1/2 (/ x -2)) |
1/2 |
(/ x -2) |
x |
-2 |
(+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
(/ x 2) |
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (- (/ (PI) 2) (asin (sqrt (+ 1/2 (/ x -2))))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
(PI) |
(* (PI) (PI)) |
8 |
(pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3) |
(- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (- 1/2 (/ x 2)) 1/2) |
(- 1/2 (/ x 2)) |
1/2 |
(/ x 2) |
x |
2 |
3 |
(+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (- (/ (PI) 2) (asin (sqrt (+ 1/2 (/ x -2))))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))) |
(/ (PI) (/ 4 (PI))) |
(/ 4 (PI)) |
4 |
(* (- (PI) (* (- (/ (PI) 2) (asin (sqrt (+ 1/2 (/ x -2))))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(- (PI) (* (- (/ (PI) 2) (asin (sqrt (+ 1/2 (/ x -2))))) 2)) |
(* (- (/ (PI) 2) (asin (sqrt (+ 1/2 (/ x -2))))) 2) |
(- (/ (PI) 2) (asin (sqrt (+ 1/2 (/ x -2))))) |
(/ (PI) 2) |
(asin (sqrt (+ 1/2 (/ x -2)))) |
(sqrt (+ 1/2 (/ x -2))) |
(+ 1/2 (/ x -2)) |
(/ x -2) |
-2 |
(+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(/ (- (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6)) (* (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) (+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2)))) (+ (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3)))) |
(- (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6)) |
(* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) |
(- (/ (PI) 2) (PI)) |
(/ (PI) 2) |
(PI) |
2 |
(* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))) |
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) |
(* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) |
(pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6) |
(* (acos (sqrt (+ 1/2 (/ x -2)))) -2) |
(acos (sqrt (+ 1/2 (/ x -2)))) |
(sqrt (+ 1/2 (/ x -2))) |
(+ 1/2 (/ x -2)) |
1/2 |
(/ x -2) |
x |
-2 |
6 |
(* (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) (+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2)))) (+ (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3))) |
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) (+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2)))) |
(* (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) (+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2))) |
(+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2)) |
(+ (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3)) |
(pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3) |
3 |
| Outputs |
|---|
(/ (+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8)) (+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI))))) |
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) |
(+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8)) |
(+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) |
(* (* (PI) (* (PI) (PI))) -1/8) |
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(PI) |
(PI.f64) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
-1/8 |
#s(literal -1/8 binary64) |
(* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8) |
(*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(sqrt (- 1/2 (* 1/2 x))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(- 1/2 (* 1/2 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
3 |
#s(literal 3 binary64) |
8 |
#s(literal 8 binary64) |
(+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI)))) |
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) |
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) |
(+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))) |
(* (* (PI) -1/2) -2) |
(PI.f64) |
(* (PI) -1/2) |
(/.f64 (PI.f64) #s(literal -2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
-2 |
#s(literal -2 binary64) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) 4) |
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(* 1/4 (* (PI) (PI))) |
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(PI.f64) |
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#s(literal 8 binary64) |
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#s(literal 1/2 binary64) |
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x |
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#s(literal 2 binary64) |
3 |
#s(literal 3 binary64) |
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(/.f64 #s(literal 4 binary64) (PI.f64)) |
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#s(literal 4 binary64) |
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(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(asin (sqrt (+ 1/2 (/ x -2)))) |
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(/ x -2) |
(/.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
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(PI) |
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#s(literal 2 binary64) |
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#s(literal -2 binary64) |
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#s(literal 6 binary64) |
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(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) |
(+ (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3)) |
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) |
(pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3) |
(pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) |
| ✓ | accuracy | 99.9% | (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.4% | (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64))) |
| ✓ | accuracy | 7.3% | (PI.f64) |
| ✓ | accuracy | 100.0% | (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 99.4% | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) |
| ✓ | accuracy | 7.3% | (PI.f64) |
| ✓ | accuracy | 100.0% | (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.3% | (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) |
| ✓ | accuracy | 7.3% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 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 | 7.3% | (PI.f64) |
| ✓ | accuracy | 99.9% | (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 99.4% | (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) |
| ✓ | accuracy | 7.3% | (PI.f64) |
| 3.7s | 245× | 5 | exit |
| 284.0ms | 11× | 2 | valid |
Compiled 1270 to 83 computations (93.5% saved)
ival-acos: 833.0ms (24.3% of total)ival-pow: 794.0ms (23.2% of total)ival-add: 445.0ms (13% of total)ival-mult: 414.0ms (12.1% of total)ival-div: 394.0ms (11.5% of total)backward-pass: 248.0ms (7.2% of total)ival-sub: 94.0ms (2.7% of total)ival-pi: 82.0ms (2.4% of total)ival-sqrt: 47.0ms (1.4% of total)compiled-spec: 33.0ms (1% of total)ival-asin: 25.0ms (0.7% of total)ival-neg: 7.0ms (0.2% of total)const: 5.0ms (0.1% of total)| Inputs |
|---|
#<alt (/ (+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8)) (+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI)))))> |
#<alt (+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI))))> |
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4)))> |
#<alt (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))> |
#<alt (- (/ (PI) 2) (- (PI) (* (acos (sqrt 1/2)) 2)))> |
#<alt (/ (PI) 2)> |
#<alt (PI)> |
#<alt (- (PI) (* (acos (sqrt 1/2)) 2))> |
#<alt (/ (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- 0 (pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2))) (+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))> |
#<alt (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- 0 (pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2)))> |
#<alt (+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))> |
#<alt (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))> |
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (- (/ (PI) 2) (asin (sqrt (+ 1/2 (/ x -2))))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))))> |
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3))> |
#<alt (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)> |
#<alt (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))> |
#<alt (/ (- (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6)) (* (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) (+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2)))) (+ (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3))))> |
#<alt (- (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6))> |
#<alt (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))))> |
#<alt (- (/ (PI) 2) (PI))> |
#<alt (+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8))> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)> |
#<alt (acos (sqrt 1/2))> |
#<alt (sqrt 1/2)> |
#<alt (* (acos (sqrt 1/2)) 2)> |
#<alt (pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2)> |
#<alt (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6)> |
#<alt (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))> |
| Outputs |
|---|
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
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#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
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#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))> |
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#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))> |
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#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)> |
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#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2))))> |
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#<alt (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (/ (- (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6)) (* (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) (+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2)))) (+ (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3)))) |
| 5.0ms | x | @ | -inf | (/ (- (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6)) (* (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) (+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2)))) (+ (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3)))) |
| 4.0ms | x | @ | 0 | (/ (- (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6)) (* (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) (+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2)))) (+ (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3)))) |
| 3.0ms | x | @ | inf | (/ (+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8)) (+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI))))) |
| 3.0ms | x | @ | 0 | (/ (+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8)) (+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI))))) |
| 1× | batch-egg-rewrite |
| 3468× | *-lowering-*.f32 |
| 3468× | *-lowering-*.f64 |
| 2270× | /-lowering-/.f32 |
| 2270× | /-lowering-/.f64 |
| 1374× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 435 |
| 1 | 615 | 302 |
| 2 | 7211 | 302 |
| 0 | 8335 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8)) (+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI))))) |
(+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) (* 1/4 (* (PI) (PI)))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4))) |
(+ (* (* (PI) -1/2) -2) (* (acos (sqrt (- 1/2 (* 1/2 x)))) 4)) |
(- (/ (PI) 2) (- (PI) (* (acos (sqrt 1/2)) 2))) |
(/ (PI) 2) |
(PI) |
(- (PI) (* (acos (sqrt 1/2)) 2)) |
(/ (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- 0 (pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2))) (+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- 0 (pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2))) |
(+ (- (/ (PI) 2) (PI)) (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) (+ (/ (PI) (/ 4 (PI))) (* (- (PI) (* (- (/ (PI) 2) (asin (sqrt (+ 1/2 (/ x -2))))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3)) |
(pow (- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 3) |
(- (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(/ (- (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6)) (* (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) (+ (- (/ (PI) 2) (PI)) (* (acos (sqrt (+ 1/2 (/ x -2)))) -2)))) (+ (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 3)))) |
(- (* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) (pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6)) |
(* (- (/ (PI) 2) (PI)) (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))))) |
(- (/ (PI) 2) (PI)) |
(+ (* (* (PI) (* (PI) (PI))) -1/8) (* (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) 8)) |
(* (PI) (* (PI) (PI))) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(acos (sqrt 1/2)) |
(sqrt 1/2) |
(* (acos (sqrt 1/2)) 2) |
(pow (* 2 (acos (sqrt (+ 1/2 (/ x -2))))) 2) |
(pow (* (acos (sqrt (+ 1/2 (/ x -2)))) -2) 6) |
(* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (* (- (/ (PI) 2) (PI)) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))) |
| Outputs |
|---|
(neg.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))))) (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) |
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (pow.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (*.f64 (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)) #s(literal -64 binary64))) (*.f64 (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (pow.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (*.f64 (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)) #s(literal -64 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) |
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(*.f64 (*.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 5 binary64)) |
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) |
| 1× | egg-herbie |
| 2870× | *-lowering-*.f32 |
| 2870× | *-lowering-*.f64 |
| 2414× | +-lowering-+.f64 |
| 2414× | +-lowering-+.f32 |
| 1718× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 4740 |
| 1 | 360 | 4200 |
| 2 | 741 | 3984 |
| 3 | 2651 | 3972 |
| 4 | 7370 | 3960 |
| 0 | 8035 | 3960 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) (- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (- (* 1/2 (PI)) (PI)) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (+ (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))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (- 1/2 (* 1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (- (* 1/2 (PI)) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) |
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(/ (- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)) (pow (- (* 1/2 (PI)) (PI)) 3)) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (PI)))) (pow (- (* 1/2 (PI)) (PI)) 2)))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
| Outputs |
|---|
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (acos (sqrt (- 1/2 (* 1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (acos (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
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(+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(- (pow (- (* 1/2 (PI)) (PI)) 6) (* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6))) |
(+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64)) #s(literal -64 binary64))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
(* 64 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 6)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 6 binary64))) |
Compiled 252633 to 8980 computations (96.4% saved)
51 alts after pruning (47 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2841 | 19 | 2860 |
| Fresh | 7 | 28 | 35 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2851 | 51 | 2902 |
| Status | Accuracy | Program |
|---|---|---|
| 7.6% | (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 4.1% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) | |
| 7.6% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))) | |
| 7.7% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 7.9% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.6% | (/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (*.f64 (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)) #s(literal -64 binary64))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.6% | (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.6% | (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.8% | (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) | |
| 7.6% | (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 9.5% | (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.6% | (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 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#s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))))))) | |
| 9.5% | (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.7% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| 9.5% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 7.7% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) | |
| 7.5% | (/.f64 (-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) | |
| 9.5% | (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) | |
| 4.1% | (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) | |
| 7.8% | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.5% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 9.5% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 7.7% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| ✓ | 9.5% | (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 6 binary64))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))))) |
| 9.5% | (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 #s(literal 0 binary64) (PI.f64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 3/2 binary64)))))) | |
| 9.5% | (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) | |
| 7.8% | (/.f64 (+.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal -4 binary64) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| 7.7% | (/.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) | |
| 9.5% | (/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) | |
| 9.5% | (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))) | |
| 7.8% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 7.7% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) | |
| 9.5% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))))) | |
| 7.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) | |
| ✓ | 5.6% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
| 9.5% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) | |
| 7.7% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) | |
| 7.5% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))) | |
| ✓ | 7.7% | (-.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)))))) |
| ✓ | 4.1% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| 7.7% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))))) | |
| 7.7% | (*.f64 (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) | |
| 1.5% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
Compiled 10872 to 1931 computations (82.2% saved)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(-.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 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
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(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))) |
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2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
7 calls:
| 27.0ms | x |
| 23.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 22.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 22.0ms | (-.f64 #s(literal 1 binary64) x) |
| 22.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.5% | 1 | x |
| 9.5% | 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)))))) |
| 9.5% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 9.5% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 9.5% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 9.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 9.5% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 51 to 41 computations (19.6% saved)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(-.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 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) |
(*.f64 (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
7 calls:
| 12.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 11.0ms | x |
| 11.0ms | (-.f64 #s(literal 1 binary64) x) |
| 10.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 9.0ms | (-.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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.5% | 1 | x |
| 9.5% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 9.5% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 9.5% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 9.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 9.5% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 9.5% | 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)))))) |
Compiled 51 to 41 computations (19.6% saved)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(-.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 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (-.f64 (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) |
7 calls:
| 68.0ms | (-.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)))))) |
| 8.0ms | x |
| 7.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 6.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 6.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.5% | 1 | x |
| 9.5% | 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)))))) |
| 9.5% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 9.5% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 9.5% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 9.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 9.5% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 51 to 41 computations (19.6% saved)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(-.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 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
| Outputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) |
7 calls:
| 3.0ms | x |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 2.0ms | (-.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)))))) |
| 2.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 2.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.7% | 1 | x |
| 7.7% | 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)))))) |
| 7.7% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.7% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.7% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.7% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 51 to 41 computations (19.6% saved)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(-.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 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(-.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 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 2.0ms | (-.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)))))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| 2.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.7% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.7% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.7% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.7% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 7.7% | 1 | x |
| 7.7% | 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)))))) |
Compiled 51 to 41 computations (19.6% saved)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 770× | unsub-neg_binary64 |
| 458× | neg-mul-1_binary64 |
| 456× | distribute-lft-neg-in_binary64 |
| 312× | cancel-sign-sub_binary64 |
| 232× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 157 |
| 1 | 130 | 157 |
| 2 | 190 | 157 |
| 3 | 245 | 157 |
| 4 | 299 | 157 |
| 5 | 331 | 157 |
| 6 | 410 | 157 |
| 7 | 746 | 157 |
| 8 | 1114 | 157 |
| 9 | 1141 | 157 |
| 10 | 1251 | 157 |
| 11 | 1401 | 157 |
| 12 | 1564 | 157 |
| 13 | 1712 | 157 |
| 14 | 1827 | 157 |
| 15 | 1918 | 157 |
| 16 | 1973 | 157 |
| 17 | 2030 | 157 |
| 18 | 2054 | 157 |
| 19 | 2068 | 157 |
| 20 | 2084 | 157 |
| 21 | 2088 | 157 |
| 22 | 2092 | 157 |
| 23 | 2092 | 157 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) |
(-.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 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) |
(-.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 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.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 #s(literal 1/2 binary64))))) |
| 4800× | *-lowering-*.f32 |
| 4800× | *-lowering-*.f64 |
| 4364× | *-lowering-*.f32 |
| 4364× | *-lowering-*.f64 |
| 4346× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 667 |
| 1 | 284 | 641 |
| 2 | 975 | 619 |
| 3 | 3438 | 611 |
| 0 | 8107 | 611 |
| 0 | 11 | 39 |
| 1 | 85 | 38 |
| 2 | 656 | 38 |
| 0 | 8134 | 38 |
| 0 | 67 | 631 |
| 1 | 523 | 447 |
| 2 | 5872 | 403 |
| 0 | 8181 | 403 |
| 0 | 182 | 5860 |
| 1 | 537 | 5251 |
| 2 | 1415 | 5242 |
| 3 | 4541 | 5239 |
| 0 | 8334 | 5239 |
| 0 | 116 | 4740 |
| 1 | 360 | 4200 |
| 2 | 741 | 3984 |
| 3 | 2651 | 3972 |
| 4 | 7370 | 3960 |
| 0 | 8035 | 3960 |
| 0 | 82 | 435 |
| 1 | 615 | 302 |
| 2 | 7211 | 302 |
| 0 | 8335 | 302 |
| 0 | 58 | 584 |
| 1 | 416 | 411 |
| 2 | 4670 | 376 |
| 0 | 8571 | 376 |
| 0 | 115 | 6420 |
| 1 | 389 | 5688 |
| 2 | 781 | 5460 |
| 3 | 2529 | 5424 |
| 0 | 8803 | 5424 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 277 to 163 computations (41.2% saved)
Compiled 350 to 168 computations (52% saved)
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