Ian Simplification
Time bar (total: 2.6min)
| 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 (39% of total)ival-asin: 1.0ms (39% 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)| 1.7s | 4725× | 1 | valid |
| 1.6s | 3351× | 2 | valid |
| 19.0ms | 180× | 0 | valid |
| 0.0ms | 4× | 0 | invalid |
ival-asin: 1.1s (39.9% of total)ival-div: 657.0ms (24% of total)ival-sub: 258.0ms (9.4% of total)backward-pass: 221.0ms (8.1% of total)ival-sqrt: 190.0ms (6.9% of total)ival-mult: 182.0ms (6.7% of total)ival-pi: 108.0ms (3.9% of total)const: 27.0ms (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 |
|---|---|---|---|---|---|
| 255 | 1 | (-0.01197567387649042) | 0 | - | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 0 | 0 | - | 0 | - | (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) |
| 173.0ms | 300× | 1 | valid |
| 132.0ms | 204× | 2 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 118 to 35 computations (70.3% saved)
ival-div: 71.0ms (34.8% of total)ival-asin: 64.0ms (31.4% of total)backward-pass: 22.0ms (10.8% of total)ival-sqrt: 13.0ms (6.4% of total)ival-mult: 13.0ms (6.4% of total)ival-sub: 12.0ms (5.9% of total)ival-pi: 7.0ms (3.4% of total)const: 2.0ms (1% of total)Compiled 14 to 12 computations (14.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.5% | (-.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)))))) |
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 | 8.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 68.0ms | 102× | 2 | valid |
| 63.0ms | 150× | 1 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 52 to 12 computations (76.9% saved)
ival-asin: 33.0ms (41.4% of total)ival-div: 11.0ms (13.8% of total)backward-pass: 11.0ms (13.8% of total)ival-mult: 8.0ms (10% of total)ival-sub: 6.0ms (7.5% of total)ival-sqrt: 6.0ms (7.5% of total)ival-pi: 4.0ms (5% 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 | @ | inf | (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) |
| 1.0ms | x | @ | 0 | (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)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 313 | 21 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 313 | 22 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.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))) | |
| ▶ | 6.4% | (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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))) |
| 6.5% | (/.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)))))))))) | |
| 6.5% | (/.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)))) | |
| 6.6% | (/.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))))) | |
| 6.5% | (/.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))))))) | |
| 6.6% | (/.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)))))))) | |
| 6.5% | (/.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 #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)))) (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 (/.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 (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)))))) | |
| ▶ | 6.5% | (/.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 (/.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))))) (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 (/.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) #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))))))) |
| ▶ | 6.5% | (/.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))))) |
| 6.6% | (/.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)))) | |
| 6.5% | (/.f64 #s(literal 1 binary64) (/.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))))) | |
| 6.4% | (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) | |
| 6.5% | (-.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)))))) | |
| 6.5% | (-.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))))))) | |
| ▶ | 8.0% | (-.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)))) |
| 6.5% | (-.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))))) | |
| 6.6% | (-.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))))))) | |
| ✓ | 6.5% | (-.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)))))) |
| ▶ | 4.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| 6.5% | (*.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)))) | |
| 6.5% | (*.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)))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -4 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))))) |
Compiled 2684 to 837 computations (68.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (*.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)))))) |
| ✓ | cost-diff | 13632 | (-.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 (/.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))))) (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)))) |
| ✓ | cost-diff | 40896 | (/.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 (/.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))))) (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 (/.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) #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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
| ✓ | cost-diff | 0 | (+.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 | 0 | (/.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))))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (sqrt.f64 (PI.f64)) |
| ✓ | cost-diff | 19200 | (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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))) |
| ✓ | 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 | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (*.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 | 128 | (+.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 | 128 | (-.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)))) |
| 3082× | *-lowering-*.f32 |
| 3082× | *-lowering-*.f64 |
| 1744× | fnmsub-define |
| 1512× | fma-lowering-fma.f32 |
| 1512× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 575 |
| 1 | 130 | 521 |
| 2 | 411 | 505 |
| 3 | 1773 | 501 |
| 4 | 6438 | 501 |
| 0 | 8506 | 501 |
| 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 |
(+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) |
(sqrt (PI)) |
(PI) |
(/ (sqrt (PI)) 2) |
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 |
(/ (+ (/ (* (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)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
(PI) |
(* (PI) (PI)) |
8 |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3) |
(* (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 |
3 |
(+ (/ (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) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 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) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))) |
(* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(/ (PI) (/ 4 (PI))) |
(PI) |
(/ 4 (PI)) |
4 |
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) |
(/ (PI) 2) |
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) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)) |
(pow (* 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))))) |
| Outputs |
|---|
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.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))))) |
(/ (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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2) |
(*.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)) |
(- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) |
(-.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)))) |
0 |
#s(literal 0 binary64) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 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) |
(+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) |
(+.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))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(/ (sqrt (PI)) 2) |
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) |
(*.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 (pow (- 1/2 (/ x 2)) 1/2)) |
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 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) |
(/ (+ (/ (* (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)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
(/.f64 (+.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 binary64)) (/.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 (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)))))) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) |
(+.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 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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) (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 (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)) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) |
(*.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 (pow (- 1/2 (/ x 2)) 1/2)) |
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 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) |
3 |
#s(literal 3 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 (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))))) |
(/ (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 (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)))) |
(+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)) |
(+.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))) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) |
(*.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) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 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)))))) |
(/.f64 (-.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))) (+.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)))))) |
(- (* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))) |
(*.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)))) |
(* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(*.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)))))) |
(/ (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) |
(+ (/ (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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) |
(*.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 (pow (- 1/2 (/ x 2)) 1/2)) |
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(pow (- 1/2 (/ x 2)) 1/2) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 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 (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)) |
(*.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))))) (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 (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2) |
(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)) |
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(*.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) #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)))))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.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))))) (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))) |
| ✓ | accuracy | 100.0% | (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (-.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 (/.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))))) (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)))) |
| ✓ | accuracy | 4.6% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 100.0% | (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 | 99.8% | (+.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 | 4.6% | (PI.f64) |
| ✓ | accuracy | 100.0% | (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 | 4.6% | (PI.f64) |
| ✓ | 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% | (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | accuracy | 4.6% | (PI.f64) |
| ✓ | 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 | 99.8% | (-.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)))) |
| ✓ | accuracy | 4.6% | (PI.f64) |
| 3.2s | 252× | 5 | exit |
| 11.0ms | 4× | 2 | valid |
Compiled 664 to 48 computations (92.8% saved)
ival-pow: 806.0ms (34.2% of total)ival-asin: 776.0ms (32.9% of total)backward-pass: 223.0ms (9.5% of total)ival-acos: 146.0ms (6.2% of total)ival-mult: 137.0ms (5.8% of total)ival-div: 93.0ms (3.9% of total)ival-sub: 49.0ms (2.1% of total)ival-add: 45.0ms (1.9% of total)compiled-spec: 33.0ms (1.4% of total)ival-sqrt: 31.0ms (1.3% of total)ival-pi: 12.0ms (0.5% of total)const: 4.0ms (0.2% 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 (/ (PI) 2)> |
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))> |
#<alt (PI)> |
#<alt (* 2 (asin (sqrt 1/2)))> |
#<alt (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2))> |
#<alt (sqrt (PI))> |
#<alt (/ (sqrt (PI)) 2)> |
#<alt (/ (+ (/ (* (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)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))> |
#<alt (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3))> |
#<alt (/ (* (PI) (* (PI) (PI))) 8)> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (/ (- (* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 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))))))> |
#<alt (- (* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))> |
#<alt (* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))> |
#<alt (/ (PI) (/ 4 (PI)))> |
#<alt (acos (pow (- 1/2 (/ x 2)) 1/2))> |
#<alt (asin (sqrt 1/2))> |
#<alt (sqrt 1/2)> |
#<alt (asin (pow (- 1/2 (/ x 2)) 1/2))> |
#<alt (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)> |
#<alt (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))> |
| 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 (+ (* -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 (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (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 (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))> |
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (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 (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))> |
#<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 (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
#<alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | (/ (+ (/ (* (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)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
| 6.0ms | x | @ | inf | (/ (- (* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 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)))))) |
| 3.0ms | x | @ | -inf | (/ (- (* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 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)))))) |
| 3.0ms | x | @ | 0 | (/ (- (* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 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)))))) |
| 2.0ms | x | @ | -inf | (/ (+ (/ (* (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)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
| 1× | batch-egg-rewrite |
| 4310× | *-lowering-*.f32 |
| 4310× | *-lowering-*.f64 |
| 2248× | pow-lowering-pow.f64 |
| 2248× | pow-lowering-pow.f32 |
| 1654× | unpow-prod-down |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 324 |
| 1 | 360 | 277 |
| 2 | 4004 | 256 |
| 0 | 8218 | 256 |
| 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) |
(/ (PI) 2) |
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2)))) |
(PI) |
(* 2 (asin (sqrt 1/2))) |
(+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2)) |
(sqrt (PI)) |
(/ (sqrt (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)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
(/ (- (* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 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) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))) |
(* (/ (PI) (/ 4 (PI))) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(/ (PI) (/ 4 (PI))) |
(acos (pow (- 1/2 (/ x 2)) 1/2)) |
(asin (sqrt 1/2)) |
(sqrt 1/2) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3) |
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)) |
| 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)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.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))))))) (/.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.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)))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (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 (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)))) (PI.f64)) |
(fma.f64 (PI.f64) #s(literal 1/2 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))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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))))) |
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.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 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.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)))))) (-.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 #s(literal 1 binary64) (/.f64 (+.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) (PI.f64)) #s(literal 4 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 2 binary64))))) |
(/.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.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))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 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) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.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 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64)))))) |
(/.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 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.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 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64)))))) |
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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 3/2 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 (*.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 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 (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)) (asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 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 1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 (pow.f64 (sqrt.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 (sqrt.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 #s(literal 4 binary64) #s(literal 3/2 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 3 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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))) (*.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 (exp.f64 (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)))))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (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)))))) #s(literal 3/2 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 3/2 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 3/2 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 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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)) (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 #s(literal -2 binary64) #s(literal 3/2 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 3/2 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 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal 3/2 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 3 binary64))) |
(*.f64 (*.f64 (exp.f64 (log.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)))) (exp.f64 (log.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))))) (exp.f64 (log.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 (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 (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 2 binary64)) (/.f64 (PI.f64) #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 -2 binary64)) #s(literal 3 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 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 2 binary64)))) |
(+.f64 (*.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 2 binary64)) (/.f64 (PI.f64) #s(literal 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 binary64))) |
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 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 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 binary64))) |
(/.f64 (*.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 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)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)))) (-.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 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.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 2 binary64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 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 (*.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))) (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 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)))) (-.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 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 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 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 #s(literal 4 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)) (+.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 #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 #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 #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 #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 (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 -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 #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 #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 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) #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 4 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))) |
| 1× | egg-herbie |
| 3862× | *-lowering-*.f32 |
| 3862× | *-lowering-*.f64 |
| 1562× | times-frac |
| 1186× | fma-define |
| 1108× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 3228 |
| 1 | 224 | 2580 |
| 2 | 525 | 2424 |
| 3 | 1598 | 2364 |
| 4 | 5290 | 2364 |
| 0 | 8028 | 2364 |
| 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))))) |
(* -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 (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))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (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))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(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)))) |
(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)) |
(* -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)) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
| Outputs |
|---|
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+.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 -1/2 binary64))) |
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+.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 -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))))))) |
(+ (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))))) |
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(* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
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(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 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))))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 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))))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 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))))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 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))))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 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))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 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))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 8 binary64)))) |
Compiled 105841 to 5220 computations (95.1% saved)
37 alts after pruning (35 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1862 | 28 | 1890 |
| Fresh | 9 | 7 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1875 | 37 | 1912 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.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))) | |
| 6.5% | (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.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))))) | |
| 6.4% | (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64))) | |
| 6.5% | (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sqrt.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 -2 binary64))) | |
| 6.6% | (/.f64 (fma.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 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) (*.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))))) | |
| 6.5% | (/.f64 (fma.f64 (PI.f64) (/.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))))) | |
| 6.5% | (/.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)))))))))) | |
| 6.6% | (/.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))))) | |
| 8.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 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))))) | |
| ▶ | 4.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)))) |
| 6.5% | (/.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 #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)))) (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 (/.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 (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)))))) | |
| 6.5% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 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 (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))))) (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 (/.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) #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))))))) | |
| 8.0% | (/.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))))) | |
| 6.5% | (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.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 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64)))))) | |
| ▶ | 8.0% | (/.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))))) |
| 8.0% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.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 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64)))))) | |
| 8.0% | (/.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))))) | |
| 6.5% | (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -3/2 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 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))))) | |
| 6.6% | (/.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 (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))))) | |
| ▶ | 6.6% | (/.f64 (+.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))) (+.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))))) |
| 6.5% | (/.f64 (+.f64 (/.f64 (PI.f64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.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 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))))) | |
| 6.5% | (/.f64 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.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))))) | |
| 6.5% | (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) | |
| 6.5% | (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64)))))) | |
| 6.5% | (/.f64 (*.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) (PI.f64)) #s(literal 4 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 2 binary64)))) (pow.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 2 binary64))) | |
| 6.5% | (/.f64 #s(literal 1 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) (PI.f64)) #s(literal 4 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 2 binary64))))) | |
| 6.5% | (/.f64 #s(literal 1 binary64) (/.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))))) | |
| 6.5% | (-.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)))))) | |
| ▶ | 6.5% | (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (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 (/.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))))))) |
| 4.0% | (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.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))))))) | |
| 6.6% | (-.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))))))) | |
| ✓ | 6.5% | (-.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)))))) |
| ✓ | 4.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| 7.9% | (-.f64 (-.f64 (/.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)))) (PI.f64)) | |
| ▶ | 8.0% | (+.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 -1/2 binary64))) |
| 8.0% | (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 2 binary64))) (/.f64 #s(literal 1 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)))))) | |
| 1.2% | (exp.f64 (*.f64 (log.f64 (/.f64 (pow.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 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) (PI.f64)) #s(literal 4 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 2 binary64)))))) #s(literal -1 binary64))) |
Compiled 3598 to 1462 computations (59.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 12672 | (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) |
| ✓ | cost-diff | 12672 | (/.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) |
| ✓ | cost-diff | 12736 | (+.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))) |
| ✓ | cost-diff | 12864 | (/.f64 (+.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))) (+.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 | 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 | 64 | (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 | 128 | (/.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 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 | 192 | (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (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 (/.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 (PI.f64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.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 -1/2 binary64))) |
| ✓ | cost-diff | 128 | (-.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))) |
| ✓ | cost-diff | 128 | (*.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)))) |
| ✓ | cost-diff | 6784 | (-.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))))) |
| ✓ | cost-diff | 33856 | (/.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))))) |
| 3362× | *-lowering-*.f32 |
| 3362× | *-lowering-*.f64 |
| 1760× | sum4-define |
| 1648× | fma-lowering-fma.f32 |
| 1648× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 674 |
| 1 | 155 | 641 |
| 2 | 434 | 610 |
| 3 | 1327 | 605 |
| 4 | 3690 | 605 |
| 0 | 8024 | 605 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) (* 2 (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) |
(* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(PI) |
(+ (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 |
(* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2))) |
(- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) |
(* (PI) (PI)) |
(pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2) |
(neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(* 2 (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(+ (* (acos (sqrt (+ 1/2 (* x -1/2)))) 2) (* (PI) -1/2)) |
(* (acos (sqrt (+ 1/2 (* x -1/2)))) 2) |
(acos (sqrt (+ 1/2 (* x -1/2)))) |
(sqrt (+ 1/2 (* x -1/2))) |
(+ 1/2 (* x -1/2)) |
1/2 |
(* x -1/2) |
x |
-1/2 |
2 |
(* (PI) -1/2) |
(PI) |
(/ (- (/ (* (PI) (PI)) 4) (pow (* (asin (sqrt 1/2)) -2) 2)) (- (/ (PI) 2) (* (asin (sqrt 1/2)) -2))) |
(- (/ (* (PI) (PI)) 4) (pow (* (asin (sqrt 1/2)) -2) 2)) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
(PI) |
4 |
(pow (* (asin (sqrt 1/2)) -2) 2) |
(* (asin (sqrt 1/2)) -2) |
(asin (sqrt 1/2)) |
(sqrt 1/2) |
1/2 |
-2 |
2 |
(- (/ (PI) 2) (* (asin (sqrt 1/2)) -2)) |
(/ (PI) 2) |
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
(PI) |
4 |
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) |
(/ (PI) 2) |
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 |
(/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) |
-2 |
(/ (+ (/ (exp (* (log (PI)) 3)) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
(+ (/ (exp (* (log (PI)) 3)) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) |
(/ (exp (* (log (PI)) 3)) 8) |
(exp (* (log (PI)) 3)) |
(* (log (PI)) 3) |
(log (PI)) |
(PI) |
3 |
8 |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3) |
(* (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 |
(+ (/ (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) |
| Outputs |
|---|
(/ (- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) (* 2 (+ (PI) (* (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) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) |
(*.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 (PI.f64) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) #s(literal -2 binary64))))) |
(* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(*.f64 (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)))))))) |
(PI) |
(PI.f64) |
(+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) |
(+.f64 (PI.f64) (*.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)) 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) |
(* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2))) |
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (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) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) |
(-.f64 (*.f64 (PI.f64) (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) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(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)) |
(* 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 4 binary64)) (*.f64 (PI.f64) #s(literal 2 binary64))) |
(+ (* (acos (sqrt (+ 1/2 (* x -1/2)))) 2) (* (PI) -1/2)) |
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(* (acos (sqrt (+ 1/2 (* x -1/2)))) 2) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(acos (sqrt (+ 1/2 (* x -1/2)))) |
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(sqrt (+ 1/2 (* x -1/2))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1/2 (* x -1/2)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
2 |
#s(literal 2 binary64) |
(* (PI) -1/2) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
(PI) |
(PI.f64) |
(/ (- (/ (* (PI) (PI)) 4) (pow (* (asin (sqrt 1/2)) -2) 2)) (- (/ (PI) 2) (* (asin (sqrt 1/2)) -2))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #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 #s(literal 1/2 binary64)))))) |
(- (/ (* (PI) (PI)) 4) (pow (* (asin (sqrt 1/2)) -2) 2)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/ (* (PI) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI) |
(PI.f64) |
4 |
#s(literal 4 binary64) |
(pow (* (asin (sqrt 1/2)) -2) 2) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(* (asin (sqrt 1/2)) -2) |
(*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) |
(asin (sqrt 1/2)) |
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-2 |
#s(literal -2 binary64) |
2 |
#s(literal 2 binary64) |
(- (/ (PI) 2) (* (asin (sqrt 1/2)) -2)) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)))))))) (/.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 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (/.f64 (PI.f64) #s(literal -2 binary64))))) |
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI) |
(PI.f64) |
4 |
#s(literal 4 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)) |
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 |
(/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(/.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 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)))))))) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) |
(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)) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -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) |
(/ (+ (/ (exp (* (log (PI)) 3)) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) (+ (/ (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) (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))) (+.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)))))))))) |
(+ (/ (exp (* (log (PI)) 3)) 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 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) |
(/ (exp (* (log (PI)) 3)) 8) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
(exp (* (log (PI)) 3)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(* (log (PI)) 3) |
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) |
(log (PI)) |
(log.f64 (PI.f64)) |
(PI) |
(PI.f64) |
3 |
#s(literal 3 binary64) |
8 |
#s(literal 8 binary64) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -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)) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -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 |
2 |
#s(literal 2 binary64) |
-2 |
#s(literal -2 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)) 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)))))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | 98.4% | (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 | 97.5% | (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) |
| ✓ | accuracy | 8.2% | (+.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))) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 | 100.0% | (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 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 | 8.2% | (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (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 (/.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 | 100.0% | (*.f64 (PI.f64) (PI.f64)) |
| ✓ | 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% | (PI.f64) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 8.0% | (+.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 -1/2 binary64))) |
| ✓ | accuracy | 99.6% | (/.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))))) |
| ✓ | accuracy | 98.5% | (*.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)))) |
| ✓ | accuracy | 98.5% | (-.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))) |
| ✓ | accuracy | 8.1% | (-.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))))) |
| 1.2s | 256× | 2 | valid |
Compiled 752 to 62 computations (91.8% saved)
ival-pow: 147.0ms (21.5% of total)backward-pass: 104.0ms (15.2% of total)ival-asin: 94.0ms (13.7% of total)ival-acos: 91.0ms (13.3% of total)ival-mult: 79.0ms (11.5% of total)ival-div: 58.0ms (8.5% of total)ival-add: 28.0ms (4.1% of total)ival-sub: 22.0ms (3.2% of total)ival-exp: 18.0ms (2.6% of total)ival-log: 18.0ms (2.6% of total)ival-sqrt: 13.0ms (1.9% of total)ival-pi: 5.0ms (0.7% of total)ival-neg: 4.0ms (0.6% of total)const: 3.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ (- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) (* 2 (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))))> |
#<alt (- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2))))> |
#<alt (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))> |
#<alt (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2))> |
#<alt (+ (* (acos (sqrt (+ 1/2 (* x -1/2)))) 2) (* (PI) -1/2))> |
#<alt (* (acos (sqrt (+ 1/2 (* x -1/2)))) 2)> |
#<alt (acos (sqrt (+ 1/2 (* x -1/2))))> |
#<alt (sqrt (+ 1/2 (* x -1/2)))> |
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (* (asin (sqrt 1/2)) -2) 2)) (- (/ (PI) 2) (* (asin (sqrt 1/2)) -2)))> |
#<alt (- (/ (* (PI) (PI)) 4) (pow (* (asin (sqrt 1/2)) -2) 2))> |
#<alt (/ (* (PI) (PI)) 4)> |
#<alt (* (PI) (PI))> |
#<alt (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))))> |
#<alt (/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))> |
#<alt (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))> |
#<alt (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))> |
#<alt (/ (+ (/ (exp (* (log (PI)) 3)) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI)))))> |
#<alt (+ (/ (exp (* (log (PI)) 3)) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3))> |
#<alt (/ (exp (* (log (PI)) 3)) 8)> |
#<alt (exp (* (log (PI)) 3))> |
#<alt (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))> |
#<alt (PI)> |
#<alt (asin (sqrt 1/2))> |
#<alt (sqrt 1/2)> |
#<alt (asin (pow (- 1/2 (/ x 2)) 1/2))> |
#<alt (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2)> |
#<alt (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)> |
| Outputs |
|---|
#<alt (* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
#<alt (* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))))> |
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#<alt (/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))> |
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#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))> |
#<alt (/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (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 (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))> |
#<alt (* (PI) (+ (PI) (* 2 (acos (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 (asin (sqrt (+ 1/2 (* -1/2 x))))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))> |
#<alt (* -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))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) (* 2 (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
| 2.0ms | x | @ | inf | (/ (- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) (* 2 (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
| 2.0ms | x | @ | 0 | (/ (- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) (* 2 (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
| 2.0ms | x | @ | -inf | (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
| 2.0ms | x | @ | 0 | (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
| 1× | batch-egg-rewrite |
| 3472× | *-lowering-*.f32 |
| 3472× | *-lowering-*.f64 |
| 1910× | /-lowering-/.f32 |
| 1910× | /-lowering-/.f64 |
| 1630× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 377 |
| 1 | 444 | 301 |
| 2 | 4806 | 298 |
| 0 | 8112 | 298 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) (* 2 (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)))) |
(- (* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) (* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)))) |
(* 2 (- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2))) |
(- (* (PI) (PI)) (pow (neg (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2)) 2)) |
(+ (* (acos (sqrt (+ 1/2 (* x -1/2)))) 2) (* (PI) -1/2)) |
(* (acos (sqrt (+ 1/2 (* x -1/2)))) 2) |
(acos (sqrt (+ 1/2 (* x -1/2)))) |
(sqrt (+ 1/2 (* x -1/2))) |
(/ (- (/ (* (PI) (PI)) 4) (pow (* (asin (sqrt 1/2)) -2) 2)) (- (/ (PI) 2) (* (asin (sqrt 1/2)) -2))) |
(- (/ (* (PI) (PI)) 4) (pow (* (asin (sqrt 1/2)) -2) 2)) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
(/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) |
(/ (+ (/ (exp (* (log (PI)) 3)) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) (+ (/ (PI) (/ 4 (PI))) (* (asin (pow (- 1/2 (/ x 2)) 1/2)) (+ (* (asin (pow (- 1/2 (/ x 2)) 1/2)) 4) (PI))))) |
(+ (/ (exp (* (log (PI)) 3)) 8) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3)) |
(/ (exp (* (log (PI)) 3)) 8) |
(exp (* (log (PI)) 3)) |
(* (PI) (+ (PI) (* (acos (pow (- 1/2 (/ x 2)) 1/2)) 2))) |
(PI) |
(asin (sqrt 1/2)) |
(sqrt 1/2) |
(asin (pow (- 1/2 (/ x 2)) 1/2)) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 3) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) #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 4 binary64)))) (neg.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)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) #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 4 binary64)))) (*.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))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) #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 4 binary64)))) (*.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))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64))) (*.f64 (+.f64 (PI.f64) (*.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 -2 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (PI.f64) #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 4 binary64))))) |
(/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64))) (+.f64 (*.f64 (PI.f64) #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 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) #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 4 binary64)))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) #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 4 binary64)))) (*.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)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (PI.f64) (*.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) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64)))) (*.f64 (+.f64 (PI.f64) (*.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 -2 binary64))) |
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(pow.f64 (exp.f64 (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)))))) #s(literal 3 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 3/2 binary64)) #s(literal 2 binary64)) |
(*.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))) (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) (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 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 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 #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 #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 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 (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 3 binary64)) #s(literal -8 binary64)) |
(*.f64 #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 (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 #s(literal 4 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 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 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 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 3/2 binary64))) |
(*.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)))) (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))) #s(literal 4 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)) #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)) (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)) |
| 1× | egg-herbie |
| 3960× | *-lowering-*.f32 |
| 3960× | *-lowering-*.f64 |
| 1934× | +-lowering-+.f64 |
| 1934× | +-lowering-+.f32 |
| 1322× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 4228 |
| 1 | 507 | 3691 |
| 2 | 1314 | 3538 |
| 3 | 4061 | 3506 |
| 0 | 8133 | 3506 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))) |
(* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(* (sqrt x) (sqrt -1/2)) |
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (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))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(* (PI) (+ (PI) (* 2 (acos (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)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(* -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)) |
| Outputs |
|---|
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(* 1/2 (/ (- (* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))))) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (+.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 8 binary64)) (*.f64 (PI.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 #s(literal 1/2 binary64) x))))))))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(+.f64 (*.f64 (PI.f64) (+.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 (PI.f64) #s(literal -2 binary64)))) (*.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 8 binary64))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(+.f64 (*.f64 (PI.f64) (+.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 (PI.f64) #s(literal -2 binary64)))) (*.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 8 binary64))) |
(- (* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) (* 2 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))))) |
(+.f64 (*.f64 (PI.f64) (+.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 (PI.f64) #s(literal -2 binary64)))) (*.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 8 binary64))) |
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(/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(* (PI) (+ (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
(* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) |
Compiled 76564 to 4503 computations (94.1% saved)
48 alts after pruning (44 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1550 | 22 | 1572 |
| Fresh | 8 | 22 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1561 | 48 | 1609 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.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))) | |
| 6.5% | (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #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 (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)) #s(literal -4 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))))))) | |
| 6.5% | (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.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))))) | |
| 6.4% | (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal -2 binary64))) | |
| 6.5% | (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sqrt.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 -2 binary64))) | |
| 6.6% | (/.f64 (fma.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 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) (*.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))))) | |
| 6.6% | (/.f64 (fma.f64 (+.f64 (PI.f64) (*.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))))) (PI.f64) (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.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 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))))) | |
| 6.5% | (/.f64 (fma.f64 (PI.f64) (/.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))))) | |
| 6.5% | (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)) (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 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 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 (/.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))))))) | |
| ▶ | 6.6% | (/.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))))) |
| 8.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 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))))) | |
| 4.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)))) | |
| ✓ | 4.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)))) |
| 8.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.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 2 binary64))) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.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)))))) | |
| 6.5% | (/.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 #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)))) (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 (/.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 (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)))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #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))))) (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 (/.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 (+.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 #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))))) | |
| 6.5% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 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 (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))))) (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 (/.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) #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))))))) | |
| 6.5% | (/.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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))))) | |
| 6.5% | (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.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 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64)))))) | |
| 8.0% | (/.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 (*.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 -8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #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))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 #s(literal 1 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))))) (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 (+.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) (PI.f64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (/.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) (PI.f64)) #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))))) (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))))) | |
| 8.0% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.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 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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))) (PI.f64)))))) | |
| 6.5% | (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -3/2 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 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))))) | |
| 6.5% | (/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 (*.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)))) #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))))) | |
| 6.6% | (/.f64 (+.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))) (+.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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)) (PI.f64))))) | |
| 8.0% | (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 (PI.f64) #s(literal -2 binary64)))) (*.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 8 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))))) | |
| 6.5% | (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) | |
| 8.0% | (/.f64 (+.f64 (*.f64 (PI.f64) (PI.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) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.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 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))))) | |
| 6.5% | (/.f64 (*.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) (PI.f64)) #s(literal 4 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 2 binary64)))) (pow.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 2 binary64))) | |
| ▶ | 6.5% | (/.f64 #s(literal 1 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) (PI.f64)) #s(literal 4 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 2 binary64))))) |
| ▶ | 8.0% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (PI.f64) (*.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) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
| 6.5% | (/.f64 #s(literal 1 binary64) (/.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))))) | |
| 6.5% | (-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 2 binary64)) (*.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)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (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 2 binary64)) (*.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)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)))))) | |
| 6.6% | (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.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))))))) (/.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 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))))))) | |
| 6.5% | (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))) | |
| 4.0% | (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.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))))))) | |
| 6.5% | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 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 (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 (/.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))))))) | |
| 6.6% | (-.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))))))) | |
| ✓ | 6.5% | (-.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)))))) |
| ✓ | 4.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
| 7.9% | (-.f64 (-.f64 (/.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)))) (PI.f64)) | |
| ▶ | 6.6% | (-.f64 (*.f64 (/.f64 (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 (PI.f64) #s(literal 4 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 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))))))) |
| 6.5% | (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -2 binary64)))))) | |
| ✓ | 8.0% | (+.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 -1/2 binary64))) |
| ▶ | 5.3% | (+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
| 8.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.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 (PI.f64) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64)))) | |
| 8.0% | (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 2 binary64))) (/.f64 #s(literal 1 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)))))) | |
| 1.2% | (exp.f64 (*.f64 (log.f64 (/.f64 (pow.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 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) (PI.f64)) #s(literal 4 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 2 binary64)))))) #s(literal -1 binary64))) |
Compiled 4666 to 1956 computations (58.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (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)) |
| ✓ | cost-diff | 64 | (-.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))) |
| ✓ | cost-diff | 128 | (*.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)))) |
| ✓ | cost-diff | 192 | (/.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))))) |
| ✓ | cost-diff | 64 | (/.f64 (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)))))) |
| ✓ | cost-diff | 64 | (*.f64 (/.f64 (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 (PI.f64) #s(literal 4 binary64))) |
| ✓ | cost-diff | 128 | (/.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 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 | 13760 | (-.f64 (*.f64 (/.f64 (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 (PI.f64) #s(literal 4 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 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 | 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 #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) (PI.f64)) #s(literal 4 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 2 binary64)))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 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) (PI.f64)) #s(literal 4 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 2 binary64))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 6720 | (+.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64))) |
| ✓ | cost-diff | 6720 | (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 6784 | (/.f64 (+.f64 (PI.f64) (*.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) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 33664 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (PI.f64) (*.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) (*.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) (PI.f64)) (pow.f64 (*.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 2 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
| 5120× | *-lowering-*.f32 |
| 5120× | *-lowering-*.f64 |
| 2050× | +-lowering-+.f64 |
| 2050× | +-lowering-+.f32 |
| 1340× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 843 |
| 1 | 137 | 802 |
| 2 | 378 | 786 |
| 3 | 1344 | 786 |
| 4 | 4511 | 766 |
| 0 | 8234 | 766 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (+ (* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) (* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2)) 2))) |
1 |
(/ (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (+ (* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) (* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2)) 2)) |
(+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) |
(PI) |
(* 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 |
(/ (+ (* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) (* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2)) 2) |
(+ (* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) (* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2)) |
(* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) |
(* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2) |
(- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) |
(* (PI) (PI)) |
(pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) |
(+ (* (acos (sqrt 1/2)) 2) (* (PI) -1/2)) |
(* (acos (sqrt 1/2)) 2) |
(acos (sqrt 1/2)) |
(sqrt 1/2) |
1/2 |
2 |
(* (PI) -1/2) |
(PI) |
-1/2 |
(/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2)))) |
1 |
(/ (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 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) (PI)) 4) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2)) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
4 |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) |
-2 |
(- (* (/ (PI) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (PI) 4)) (/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
(* (/ (PI) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (PI) 4)) |
(/ (PI) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) |
(PI) |
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) |
(/ (PI) 2) |
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 |
-2 |
(/ (PI) 4) |
4 |
(/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 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)) |
(/ x 2) |
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) |
(* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) |
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))) |
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) |
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16) |
(* (* (PI) (PI)) (* (PI) (PI))) |
(* (PI) (PI)) |
(PI) |
16 |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) |
(* 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 |
4 |
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))) |
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) |
(/ (PI) 2) |
(+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)) |
(/ (PI) (/ 4 (PI))) |
(/ 4 (PI)) |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2) |
| Outputs |
|---|
(/ 1 (/ (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (+ (* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) (* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2)) 2))) |
(/.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (+ (* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) (* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2)) 2)) |
(/.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal 4 binary64))) (*.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 (PI.f64) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) #s(literal -2 binary64)))))) |
(+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) |
(+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))))) |
(PI) |
(PI.f64) |
(* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) |
(*.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) |
(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) |
(/ (+ (* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) (* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2)) 2) |
(/.f64 (*.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 (PI.f64) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(+ (* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) (* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2)) |
(*.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 (PI.f64) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 (PI.f64) #s(literal -2 binary64))))) |
(* (PI) (+ (PI) (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))) |
(*.f64 (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)))))))) |
(* (- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) -2) |
(*.f64 #s(literal -2 binary64) (-.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)))) |
(- (* (PI) (PI)) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) |
(-.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))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2) |
(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)) |
(+ (* (acos (sqrt 1/2)) 2) (* (PI) -1/2)) |
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(* (acos (sqrt 1/2)) 2) |
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
(acos (sqrt 1/2)) |
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
2 |
#s(literal 2 binary64) |
(* (PI) -1/2) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
(PI) |
(PI.f64) |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (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)))))))) |
1 |
#s(literal 1 binary64) |
(/ (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (- (/ (* (PI) (PI)) 4) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2))) |
(/.f64 (+.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))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)))) |
(+ (/ (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) (PI)) 4) (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))) |
(/ (* (PI) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) |
(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)) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -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) |
(- (* (/ (PI) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (PI) 4)) (/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (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) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (PI) 4)) |
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) |
(/.f64 (PI.f64) (+.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) |
(PI.f64) |
(+ (/ (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)) |
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 |
-2 |
#s(literal -2 binary64) |
(/ (PI) 4) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(/ (pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) |
(/.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 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)))))))) |
(pow (* (asin (pow (- 1/2 (/ x 2)) 1/2)) -2) 2) |
(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)) |
(* (asin (pow (- 1/2 (/ x 2)) 1/2)) -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))) |
(/ x 2) |
(/.f64 x #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))))))) |
(* 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)))))) |
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 4 binary64))) (*.f64 (+.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))))))) (+.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 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) |
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 4 binary64))) |
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) |
(* (* (PI) (PI)) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI) |
(PI.f64) |
16 |
#s(literal 16 binary64) |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) |
(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 4 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 |
4 |
#s(literal 4 binary64) |
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))) |
(*.f64 (+.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))))))) (+.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 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)) |
(+.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 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) |
(/ (PI) (/ 4 (PI))) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(/ 4 (PI)) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2) |
(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)) |
| 10.4s | 20× | 2 | valid |
Compiled 956 to 61 computations (93.6% saved)
backward-pass: 37.0ms (46.4% of total)ival-pow: 13.0ms (16.3% of total)ival-div: 8.0ms (10% of total)ival-asin: 7.0ms (8.8% of total)ival-acos: 5.0ms (6.3% of total)ival-mult: 5.0ms (6.3% of total)ival-add: 2.0ms (2.5% of total)ival-sub: 1.0ms (1.3% of total)ival-sqrt: 1.0ms (1.3% of total)const: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)ival-acos: 4.0ms (101.3% of total)Loading profile data...