
Time bar (total: 16.6s)
| 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% | 100% | 0% | 0% | 0% | 0% | 3 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 4 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 5 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 6 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 7 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 8 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 9 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 10 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 11 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 12 |
Compiled 16 to 10 computations (37.5% saved)
ival-mult: 73.0ms (35.7% of total)ival-acos: 50.0ms (24.4% of total)ival-sub: 45.0ms (22% of total)ival-div: 28.0ms (13.7% of total)const: 6.0ms (2.9% of total)backward-pass: 2.0ms (1% of total)| 1.7s | 3782× | 3 | valid |
| 681.0ms | 8069× | 0 | invalid |
| 617.0ms | 2065× | 2 | valid |
| 523.0ms | 2190× | 1 | valid |
| 34.0ms | 219× | 0 | valid |
ival-mult: 749.0ms (29.6% of total)ival-acos: 589.0ms (23.3% of total)ival-sub: 411.0ms (16.3% of total)backward-pass: 386.0ms (15.3% of total)ival-div: 340.0ms (13.5% of total)const: 53.0ms (2.1% of total)| 2× | egg-herbie |
| 1820× | fnmadd-define |
| 1610× | *-lowering-*.f32 |
| 1610× | *-lowering-*.f64 |
| 1568× | --lowering--.f32 |
| 1568× | --lowering--.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 37 |
| 1 | 64 | 37 |
| 2 | 185 | 34 |
| 3 | 671 | 34 |
| 4 | 2703 | 34 |
| 5 | 6413 | 34 |
| 0 | 9 | 12 |
| 1 | 32 | 12 |
| 2 | 78 | 11 |
| 3 | 217 | 11 |
| 4 | 646 | 11 |
| 5 | 1504 | 11 |
| 6 | 3674 | 11 |
| 7 | 6897 | 11 |
| 0 | 8246 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
| Outputs |
|---|
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
| Inputs |
|---|
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))) |
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))) |
| Outputs |
|---|
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
(acos (/ (fnmsub 5 (square v) -1) (+ (square v) -1))) |
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))) |
(acos (/ (fnmsub 5 (square v) -1) (+ (square v) -1))) |
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))) |
(neg (acos (/ (fnmsub 5 (square v) -1) (+ (square v) -1)))) |
(abs v)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 7 | 246 | (1.4195299351054194e-173) | 0 | - | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 v v) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 v v) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| 263.0ms | 222× | 3 | valid |
| 105.0ms | 134× | 2 | valid |
| 38.0ms | 142× | 1 | valid |
| 3.0ms | 14× | 0 | valid |
Compiled 119 to 29 computations (75.6% saved)
backward-pass: 141.0ms (54.7% of total)ival-acos: 46.0ms (17.8% of total)ival-mult: 37.0ms (14.4% of total)ival-sub: 18.0ms (7% of total)ival-div: 14.0ms (5.4% of total)const: 3.0ms (1.2% of total)Compiled 15 to 11 computations (26.7% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
Compiled 15 to 9 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 1820× | fnmadd-define |
| 1610× | *-lowering-*.f32 |
| 1610× | *-lowering-*.f64 |
| 1568× | --lowering--.f32 |
| 1568× | --lowering--.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 32 | 42 |
| 2 | 78 | 39 |
| 3 | 217 | 39 |
| 4 | 646 | 39 |
| 5 | 1504 | 39 |
| 6 | 3674 | 39 |
| 7 | 6897 | 39 |
| 0 | 8246 | 39 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
(/ (- 1 (* 5 (* v v))) (- (* v v) 1)) |
(- 1 (* 5 (* v v))) |
1 |
(* 5 (* v v)) |
5 |
(* v v) |
v |
(- (* v v) 1) |
| Outputs |
|---|
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(/ (- 1 (* 5 (* v v))) (- (* v v) 1)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))) |
(- 1 (* 5 (* v v))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 5 (* v v)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
(- (* v v) 1) |
(+.f64 (*.f64 v v) #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 v v) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.4% | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 147.0ms | 111× | 3 | valid |
| 42.0ms | 71× | 1 | valid |
| 29.0ms | 67× | 2 | valid |
| 1.0ms | 7× | 0 | valid |
Compiled 52 to 10 computations (80.8% saved)
ival-acos: 69.0ms (55.3% of total)ival-sub: 18.0ms (14.4% of total)ival-mult: 15.0ms (12% of total)backward-pass: 14.0ms (11.2% of total)ival-div: 7.0ms (5.6% of total)const: 1.0ms (0.8% of total)| Inputs |
|---|
#<alt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))> |
#<alt (/ (- 1 (* 5 (* v v))) (- (* v v) 1))> |
#<alt (- 1 (* 5 (* v v)))> |
#<alt (* 5 (* v v))> |
#<alt (* v v)> |
| Outputs |
|---|
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt -1> |
#<alt (- (* 4 (pow v 2)) 1)> |
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)> |
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)> |
#<alt -5> |
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))> |
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)> |
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))> |
#<alt -5> |
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))> |
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)> |
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | 0 | (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) |
| 0.0ms | v | @ | inf | (* 5 (* v v)) |
| 0.0ms | v | @ | inf | (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) |
| 0.0ms | v | @ | inf | (- 1 (* 5 (* v v))) |
| 0.0ms | v | @ | 0 | (- 1 (* 5 (* v v))) |
| 1× | batch-egg-rewrite |
| 4532× | *-lowering-*.f32 |
| 4532× | *-lowering-*.f64 |
| 3504× | /-lowering-/.f32 |
| 3504× | /-lowering-/.f64 |
| 1052× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 67 | 35 |
| 2 | 542 | 32 |
| 3 | 7492 | 32 |
| 0 | 8031 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
(/ (- 1 (* 5 (* v v))) (- (* v v) 1)) |
(- 1 (* 5 (* v v))) |
(* 5 (* v v)) |
(* v v) |
| Outputs |
|---|
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))))) |
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) #s(literal 1953125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 15625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 15625 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 625 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(neg.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 #s(literal 5 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)))) |
(*.f64 v (*.f64 #s(literal 5 binary64) v)) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(*.f64 #s(literal -5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) |
(*.f64 (*.f64 #s(literal 5 binary64) v) v) |
(*.f64 (*.f64 #s(literal 5 binary64) v) (neg.f64 (-.f64 #s(literal 0 binary64) v))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -5 binary64)) |
(*.f64 (*.f64 v #s(literal -5 binary64)) (-.f64 #s(literal 0 binary64) v)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))) #s(literal 5 binary64)) |
(*.f64 (neg.f64 (*.f64 v #s(literal -5 binary64))) v) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v))) |
(pow.f64 v #s(literal 2 binary64)) |
(pow.f64 (*.f64 v v) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 v v)) |
(*.f64 v v) |
(*.f64 (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v))) |
| 1× | egg-herbie |
| 3288× | *-lowering-*.f32 |
| 3288× | *-lowering-*.f64 |
| 1638× | fma-lowering-fma.f32 |
| 1638× | fma-lowering-fma.f64 |
| 1634× | fma-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 461 |
| 1 | 106 | 356 |
| 2 | 304 | 354 |
| 3 | 836 | 354 |
| 4 | 2205 | 353 |
| 5 | 6329 | 353 |
| 0 | 8346 | 353 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
-1 |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
| Outputs |
|---|
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow v 2)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
-5 |
#s(literal -5 binary64) |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(+.f64 #s(literal -5 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 4 binary64)))) |
-5 |
#s(literal -5 binary64) |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(+.f64 #s(literal -5 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 4 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
Compiled 13089 to 1303 computations (90% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 397 | 7 | 404 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 397 | 8 | 405 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
| 2.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) | |
| 99.4% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) | |
| ▶ | 99.4% | (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ▶ | 98.5% | (acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | 99.4% | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| ▶ | 98.8% | (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
| ▶ | 98.2% | (acos.f64 #s(literal -1 binary64)) |
Compiled 359 to 195 computations (45.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | cost-diff | 128 | (acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 v v) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 0 | (acos.f64 #s(literal -1 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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
| 2078× | fma-lowering-fma.f32 |
| 2078× | fma-lowering-fma.f64 |
| 1880× | sum4-define |
| 1582× | fmsub-define |
| 1552× | fnmadd-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 372 |
| 1 | 96 | 351 |
| 2 | 188 | 351 |
| 3 | 339 | 351 |
| 4 | 726 | 345 |
| 5 | 1903 | 345 |
| 6 | 5820 | 345 |
| 0 | 8038 | 345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
(PI) |
(* (PI) (PI)) |
8 |
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) |
(+ 1 (* (* v v) -5)) |
1 |
(* (* v v) -5) |
(* v v) |
v |
-5 |
(+ (* v v) -1) |
-1 |
3 |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) |
(/ (* (PI) (PI)) 4) |
4 |
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(/ (PI) 2) |
2 |
(acos -1) |
-1 |
(acos (+ -1 (* (* v v) 4))) |
(+ -1 (* (* v v) 4)) |
-1 |
(* (* v v) 4) |
(* v v) |
v |
4 |
(acos (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v))) |
(/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v)) |
(/ (+ (* 5 (* v v)) -1) (+ 1 v)) |
(+ (* 5 (* v v)) -1) |
(* 5 (* v v)) |
5 |
(* v v) |
v |
-1 |
(+ 1 v) |
1 |
(- 1 v) |
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))) |
(PI) |
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))) |
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v))) |
(+ 1 (* (* v v) -5)) |
1 |
(* (* v v) -5) |
(* v v) |
v |
-5 |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(PI) |
(PI.f64) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
8 |
#s(literal 8 binary64) |
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))) |
(+ 1 (* (* v v) -5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* (* v v) -5) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* v v) |
(*.f64 v v) |
v |
-5 |
#s(literal -5 binary64) |
(+ (* v v) -1) |
(+.f64 (*.f64 v v) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
3 |
#s(literal 3 binary64) |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/ (* (PI) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(acos -1) |
(acos.f64 #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(acos (+ -1 (* (* v v) 4))) |
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(+ -1 (* (* v v) 4)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) |
-1 |
#s(literal -1 binary64) |
(* (* v v) 4) |
(*.f64 (*.f64 v v) #s(literal 4 binary64)) |
(* v v) |
(*.f64 v v) |
v |
4 |
#s(literal 4 binary64) |
(acos (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v))) |
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/ (+ (* 5 (* v v)) -1) (+ 1 v)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)) |
(+ (* 5 (* v v)) -1) |
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
(* 5 (* v v)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
-1 |
#s(literal -1 binary64) |
(+ 1 v) |
(+.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(PI) |
(PI.f64) |
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(+ 1 (* (* v v) -5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* (* v v) -5) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* v v) |
(*.f64 v v) |
v |
-5 |
#s(literal -5 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | accuracy | 100.0% | (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -5 binary64)) |
| ✓ | accuracy | 6.8% | (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.4% | (acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 v v) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 v v) #s(literal 4 binary64)) |
| ✓ | accuracy | 99.4% | (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
| ✓ | accuracy | 100.0% | (acos.f64 #s(literal -1 binary64)) |
| ✓ | accuracy | 98.5% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 98.4% | (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
| ✓ | accuracy | 7.8% | (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
| 397.0ms | 110× | 3 | valid |
| 180.0ms | 67× | 2 | valid |
| 126.0ms | 75× | 1 | valid |
| 2.0ms | 4× | 0 | valid |
Compiled 438 to 43 computations (90.2% saved)
backward-pass: 99.0ms (23.3% of total)ival-div: 80.0ms (18.8% of total)ival-mult: 62.0ms (14.6% of total)ival-acos: 62.0ms (14.6% of total)ival-asin: 29.0ms (6.8% of total)ival-add: 29.0ms (6.8% of total)ival-pow: 27.0ms (6.3% of total)ival-sub: 18.0ms (4.2% of total)ival-pi: 15.0ms (3.5% of total)const: 3.0ms (0.7% of total)| Inputs |
|---|
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))> |
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))> |
#<alt (/ (* (PI) (* (PI) (PI))) 8)> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (acos -1)> |
#<alt (acos (+ -1 (* (* v v) 4)))> |
#<alt (+ -1 (* (* v v) 4))> |
#<alt (* (* v v) 4)> |
#<alt (* v v)> |
#<alt (acos (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v)))> |
#<alt (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v))> |
#<alt (/ (+ (* 5 (* v v)) -1) (+ 1 v))> |
#<alt (+ (* 5 (* v v)) -1)> |
#<alt (- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))> |
#<alt (PI)> |
#<alt (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))> |
#<alt (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))> |
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))> |
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)> |
#<alt (* 5 (* v v))> |
#<alt (* (* v v) -5)> |
| Outputs |
|---|
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt (acos (- (* 4 (pow v 2)) 1))> |
#<alt -1> |
#<alt (- (* 4 (pow v 2)) 1)> |
#<alt (- (* 4 (pow v 2)) 1)> |
#<alt (- (* 4 (pow v 2)) 1)> |
#<alt (* 4 (pow v 2))> |
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))> |
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))> |
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))> |
#<alt (* 4 (pow v 2))> |
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))> |
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))> |
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt -1> |
#<alt (- (* 4 (pow v 2)) 1)> |
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)> |
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)> |
#<alt -5> |
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))> |
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)> |
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))> |
#<alt -5> |
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))> |
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)> |
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))> |
#<alt -1> |
#<alt (- v 1)> |
#<alt (- (* v (+ 1 (* 4 v))) 1)> |
#<alt (- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)> |
#<alt (* 5 v)> |
#<alt (* v (- 5 (* 5 (/ 1 v))))> |
#<alt (* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))> |
#<alt (* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))> |
#<alt (* 5 v)> |
#<alt (* -1 (* v (- (* 5 (/ 1 v)) 5)))> |
#<alt (* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))> |
#<alt (* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))> |
#<alt -1> |
#<alt (- (* 5 (pow v 2)) 1)> |
#<alt (- (* 5 (pow v 2)) 1)> |
#<alt (- (* 5 (pow v 2)) 1)> |
#<alt (* 5 (pow v 2))> |
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))> |
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))> |
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))> |
#<alt (* 5 (pow v 2))> |
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))> |
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))> |
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt 1> |
#<alt (+ 1 (* -4 (pow v 2)))> |
#<alt (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))> |
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))> |
#<alt 5> |
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))> |
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))> |
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))> |
#<alt 5> |
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))> |
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))> |
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))> |
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | 0 | (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
| 2.0ms | v | @ | inf | (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
| 2.0ms | v | @ | inf | (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v)) |
| 2.0ms | v | @ | inf | (/ (+ (* 5 (* v v)) -1) (+ 1 v)) |
| 0.0ms | v | @ | inf | (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))) |
| 1× | batch-egg-rewrite |
| 5470× | *-lowering-*.f32 |
| 5470× | *-lowering-*.f64 |
| 2960× | /-lowering-/.f32 |
| 2960× | /-lowering-/.f64 |
| 2682× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 258 |
| 1 | 300 | 162 |
| 2 | 2804 | 162 |
| 0 | 10901 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
(acos -1) |
(acos (+ -1 (* (* v v) 4))) |
(+ -1 (* (* v v) 4)) |
(* (* v v) 4) |
(* v v) |
(acos (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v))) |
(/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v)) |
(/ (+ (* 5 (* v v)) -1) (+ 1 v)) |
(+ (* 5 (* v v)) -1) |
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))) |
(PI) |
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))) |
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v))) |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3) |
(* 5 (* v v)) |
(* (* v v) -5) |
| Outputs |
|---|
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(+.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+.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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (PI.f64)) |
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(fma.f64 (PI.f64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(fma.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))) |
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))) |
(fma.f64 #s(literal 1 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(fma.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (PI.f64)) |
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (-.f64 (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))) |
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(PI.f64) |
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(exp.f64 (log.f64 (PI.f64))) |
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(fabs.f64 (PI.f64)) |
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(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 3/2 binary64)))) |
(/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 3 binary64))) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3/2 binary64))) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v #s(literal 5 binary64)) v) |
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 v #s(literal 5 binary64)) (*.f64 v #s(literal -1 binary64))) |
(*.f64 (*.f64 v #s(literal -5 binary64)) v) |
| 1× | egg-herbie |
| 3322× | *-lowering-*.f32 |
| 3322× | *-lowering-*.f64 |
| 2700× | +-lowering-+.f64 |
| 2700× | +-lowering-+.f32 |
| 1356× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 2698 |
| 1 | 449 | 2223 |
| 2 | 1188 | 2219 |
| 3 | 3810 | 2169 |
| 0 | 8953 | 2169 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos (- (* 4 (pow v 2)) 1)) |
-1 |
(- (* 4 (pow v 2)) 1) |
(- (* 4 (pow v 2)) 1) |
(- (* 4 (pow v 2)) 1) |
(* 4 (pow v 2)) |
(* (pow v 2) (- 4 (/ 1 (pow v 2)))) |
(* (pow v 2) (- 4 (/ 1 (pow v 2)))) |
(* (pow v 2) (- 4 (/ 1 (pow v 2)))) |
(* 4 (pow v 2)) |
(* (pow v 2) (- 4 (/ 1 (pow v 2)))) |
(* (pow v 2) (- 4 (/ 1 (pow v 2)))) |
(* (pow v 2) (- 4 (/ 1 (pow v 2)))) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
-1 |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
-1 |
(- v 1) |
(- (* v (+ 1 (* 4 v))) 1) |
(- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1) |
(* 5 v) |
(* v (- 5 (* 5 (/ 1 v)))) |
(* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v)))) |
(* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3)))))) |
(* 5 v) |
(* -1 (* v (- (* 5 (/ 1 v)) 5))) |
(* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5))) |
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5))) |
-1 |
(- (* 5 (pow v 2)) 1) |
(- (* 5 (pow v 2)) 1) |
(- (* 5 (pow v 2)) 1) |
(* 5 (pow v 2)) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(* 5 (pow v 2)) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
1 |
(+ 1 (* -4 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
5 |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
5 |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
| Outputs |
|---|
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(acos (- (* 4 (pow v 2)) 1)) |
(acos.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow v 2)) 1) |
(+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* 4 (pow v 2)) 1) |
(+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) |
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(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* 5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
Compiled 73264 to 3700 computations (94.9% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1395 | 12 | 1407 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1398 | 17 | 1415 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.4% | (/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
| 96.4% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) | |
| 97.9% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) | |
| ▶ | 2.5% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) |
| 2.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) | |
| 2.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) | |
| 2.7% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) | |
| ▶ | 97.9% | (-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| 98.8% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) | |
| 96.4% | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) | |
| 98.8% | (-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) | |
| ▶ | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
| ✓ | 98.5% | (acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ▶ | 96.5% | (acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | 99.4% | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| ✓ | 98.8% | (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
| ✓ | 98.2% | (acos.f64 #s(literal -1 binary64)) |
Compiled 1180 to 571 computations (51.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
| ✓ | cost-diff | 128 | (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | cost-diff | 128 | (pow.f64 (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (sqrt.f64 (PI.f64)) |
| ✓ | cost-diff | 12864 | (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 12864 | (-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) v) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)) |
| ✓ | cost-diff | 128 | (acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | 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)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
| 3078× | *-lowering-*.f32 |
| 3078× | *-lowering-*.f64 |
| 1466× | fnmsub-define |
| 998× | distribute-lft-neg-in |
| 988× | fma-lowering-fma.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 773 |
| 1 | 141 | 719 |
| 2 | 271 | 719 |
| 3 | 603 | 719 |
| 4 | 1569 | 690 |
| 5 | 3566 | 687 |
| 6 | 6541 | 685 |
| 0 | 8145 | 685 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) |
(/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) |
1 |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
(PI) |
4 |
(* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))) |
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) |
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1)) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(+ (* v v) -1) |
(* v v) |
-1 |
(acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))) |
(/ (+ 1 (* v (* v -5))) (- 1 (* v v))) |
(- 1 (* v v)) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
8 |
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3) |
3 |
(acos (/ (/ -1 (+ 1 v)) (- 1 v))) |
(/ (/ -1 (+ 1 v)) (- 1 v)) |
(/ -1 (+ 1 v)) |
-1 |
(+ 1 v) |
1 |
v |
(- 1 v) |
(- (pow (sqrt (PI)) 2) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))) |
(pow (sqrt (PI)) 2) |
(sqrt (PI)) |
(PI) |
2 |
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))) |
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v))) |
(+ 1 (* (* v v) -5)) |
1 |
(* (* v v) -5) |
(* v v) |
v |
-5 |
(- 1 (* v v)) |
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))))) |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
(PI) |
4 |
(pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2) |
(asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) |
(/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v)) |
(/ (+ -1 (* (* v v) 5)) (+ 1 v)) |
(+ -1 (* (* v v) 5)) |
-1 |
(* (* v v) 5) |
(* v v) |
v |
5 |
(+ 1 v) |
1 |
(- 1 v) |
2 |
(+ (/ (PI) 2) (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v)))) |
(/ (PI) 2) |
(/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
(- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) |
(/ (pow (cbrt (PI)) 9) 8) |
(pow (cbrt (PI)) 9) |
(cbrt (PI)) |
(PI) |
9 |
8 |
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) |
(+ 1 (* (* v v) -5)) |
1 |
(* (* v v) -5) |
(* v v) |
v |
-5 |
(+ (* v v) -1) |
-1 |
3 |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
4 |
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(/ (PI) 2) |
2 |
| Outputs |
|---|
(* (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
(/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 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) |
(* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))) |
(*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* v (* v -5)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(+ (* v v) -1) |
(+.f64 (*.f64 v v) #s(literal -1 binary64)) |
(* v v) |
(*.f64 v v) |
-1 |
#s(literal -1 binary64) |
(acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/ (+ 1 (* v (* v -5))) (- 1 (* v v))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
8 |
#s(literal 8 binary64) |
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(acos (/ (/ -1 (+ 1 v)) (- 1 v))) |
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(/ (/ -1 (+ 1 v)) (- 1 v)) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) |
(/ -1 (+ 1 v)) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) |
-1 |
#s(literal -1 binary64) |
(+ 1 v) |
(+.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
v |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
(- (pow (sqrt (PI)) 2) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(pow (sqrt (PI)) 2) |
(PI.f64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(+ 1 (* (* v v) -5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(* (* v v) -5) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* v v) |
(*.f64 v v) |
v |
-5 |
#s(literal -5 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #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 (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) |
(asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) |
(asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/ (+ -1 (* (* v v) 5)) (+ 1 v)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)) |
(+ -1 (* (* v v) 5)) |
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
-1 |
#s(literal -1 binary64) |
(* (* v v) 5) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(* v v) |
(*.f64 v v) |
v |
5 |
#s(literal 5 binary64) |
(+ 1 v) |
(+.f64 #s(literal 1 binary64) v) |
1 |
#s(literal 1 binary64) |
(- 1 v) |
(-.f64 #s(literal 1 binary64) v) |
2 |
#s(literal 2 binary64) |
(+ (/ (PI) 2) (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v)))) |
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
(/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) |
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(/ (pow (cbrt (PI)) 9) 8) |
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) |
(pow (cbrt (PI)) 9) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) |
(cbrt (PI)) |
(cbrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
9 |
#s(literal 9 binary64) |
8 |
#s(literal 8 binary64) |
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))) |
(+ 1 (* (* v v) -5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(* (* v v) -5) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* v v) |
(*.f64 v v) |
v |
-5 |
#s(literal -5 binary64) |
(+ (* v v) -1) |
(+.f64 (*.f64 v v) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
3 |
#s(literal 3 binary64) |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 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) |
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 v v) |
| ✓ | accuracy | 100.0% | (cbrt.f64 (PI.f64)) |
| ✓ | accuracy | 100.0% | (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | accuracy | 3.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (PI.f64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 v v) |
| ✓ | accuracy | 100.0% | (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | accuracy | 3.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 v v) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 100.0% | (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 3.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) v) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) v) |
| ✓ | accuracy | 100.0% | (acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | accuracy | 100.0% | (*.f64 v #s(literal -5 binary64)) |
| ✓ | accuracy | 100.0% | (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 3.1% | (PI.f64) |
| 720.0ms | 114× | 3 | invalid |
| 317.0ms | 65× | 2 | invalid |
| 167.0ms | 69× | 1 | invalid |
| 7.0ms | 8× | 0 | invalid |
Compiled 885 to 65 computations (92.7% saved)
backward-pass: 169.0ms (26.1% of total)ival-div: 100.0ms (15.5% of total)ival-pow: 97.0ms (15% of total)ival-acos: 73.0ms (11.3% of total)ival-asin: 61.0ms (9.4% of total)ival-mult: 60.0ms (9.3% of total)ival-add: 36.0ms (5.6% of total)ival-sub: 26.0ms (4% of total)ival-cbrt: 9.0ms (1.4% of total)ival-sqrt: 6.0ms (0.9% of total)ival-pi: 5.0ms (0.8% of total)const: 4.0ms (0.6% of total)| Inputs |
|---|
#<alt (* (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))> |
#<alt (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))))> |
#<alt (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))> |
#<alt (/ (* (PI) (PI)) 4)> |
#<alt (acos (/ (/ -1 (+ 1 v)) (- 1 v)))> |
#<alt (/ (/ -1 (+ 1 v)) (- 1 v))> |
#<alt (/ -1 (+ 1 v))> |
#<alt (+ 1 v)> |
#<alt (- (pow (sqrt (PI)) 2) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))> |
#<alt (pow (sqrt (PI)) 2)> |
#<alt (sqrt (PI))> |
#<alt (PI)> |
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v)))))> |
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2))> |
#<alt (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)> |
#<alt (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v)))> |
#<alt (/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))> |
#<alt (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))> |
#<alt (/ (pow (cbrt (PI)) 9) 8)> |
#<alt (pow (cbrt (PI)) 9)> |
#<alt (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))> |
#<alt (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))> |
#<alt (* v -5)> |
#<alt (- 1 v)> |
#<alt (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))> |
#<alt (* v v)> |
#<alt (* (PI) (PI))> |
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))> |
#<alt (cbrt (PI))> |
| Outputs |
|---|
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))> |
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))> |
#<alt (acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt -1> |
#<alt (- (* -1 (pow v 2)) 1)> |
#<alt (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)> |
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)) 1)> |
#<alt (/ 1 (pow v 2))> |
#<alt (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))> |
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))> |
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))> |
#<alt (/ 1 (pow v 2))> |
#<alt (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))> |
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))> |
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))> |
#<alt -1> |
#<alt (- v 1)> |
#<alt (- (* v (+ 1 (* -1 v))) 1)> |
#<alt (- (* v (+ 1 (* v (- v 1)))) 1)> |
#<alt (/ -1 v)> |
#<alt (/ (- (/ 1 v) 1) v)> |
#<alt (/ (- (/ 1 v) (+ 1 (/ 1 (pow v 2)))) v)> |
#<alt (/ (- (+ (/ 1 v) (/ 1 (pow v 3))) (+ 1 (/ 1 (pow v 2)))) v)> |
#<alt (/ -1 v)> |
#<alt (* -1 (/ (- 1 (/ 1 v)) v))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v))) v))> |
#<alt 1> |
#<alt (+ 1 v)> |
#<alt (+ 1 v)> |
#<alt (+ 1 v)> |
#<alt v> |
#<alt (* v (+ 1 (/ 1 v)))> |
#<alt (* v (+ 1 (/ 1 v)))> |
#<alt (* v (+ 1 (/ 1 v)))> |
#<alt v> |
#<alt (* v (+ 1 (/ 1 v)))> |
#<alt (* v (+ 1 (/ 1 v)))> |
#<alt (* v (+ 1 (/ 1 v)))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI))))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2))> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)> |
#<alt (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt 1> |
#<alt (+ 1 (* -1 v))> |
#<alt (+ 1 (* -1 v))> |
#<alt (+ 1 (* -1 v))> |
#<alt (* -1 v)> |
#<alt (* v (- (/ 1 v) 1))> |
#<alt (* v (- (/ 1 v) 1))> |
#<alt (* v (- (/ 1 v) 1))> |
#<alt (* -1 v)> |
#<alt (* -1 (* v (- 1 (/ 1 v))))> |
#<alt (* -1 (* v (- 1 (/ 1 v))))> |
#<alt (* -1 (* v (- 1 (/ 1 v))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | v | @ | inf | (* (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) |
| 1.0ms | v | @ | inf | (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))))) |
| 1.0ms | v | @ | 0 | (* (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) |
| 1.0ms | v | @ | 0 | (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))))) |
| 1.0ms | v | @ | inf | (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) |
| 1× | batch-egg-rewrite |
| 3144× | *-lowering-*.f32 |
| 3144× | *-lowering-*.f64 |
| 1616× | fmsub-define |
| 1616× | fmm-def |
| 1608× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 439 |
| 1 | 458 | 372 |
| 2 | 3960 | 267 |
| 0 | 8494 | 267 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) |
(/ 1 (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))))) |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))) |
(/ (* (PI) (PI)) 4) |
(acos (/ (/ -1 (+ 1 v)) (- 1 v))) |
(/ (/ -1 (+ 1 v)) (- 1 v)) |
(/ -1 (+ 1 v)) |
(+ 1 v) |
(- (pow (sqrt (PI)) 2) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))) |
(pow (sqrt (PI)) 2) |
(sqrt (PI)) |
(PI) |
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))))) |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2)) |
(pow (asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) 2) |
(asin (/ (/ (+ -1 (* (* v v) 5)) (+ 1 v)) (- 1 v))) |
(/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
(- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) |
(/ (pow (cbrt (PI)) 9) 8) |
(pow (cbrt (PI)) 9) |
(acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))) |
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) |
(* v -5) |
(- 1 v) |
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))) |
(* v v) |
(* (PI) (PI)) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(cbrt (PI)) |
| Outputs |
|---|
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(+.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+.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 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 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 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (PI.f64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 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 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
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(PI.f64) |
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(cbrt.f64 (PI.f64)) |
(pow.f64 (PI.f64) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/9 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) #s(literal 2/3 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) |
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2/3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) #s(literal 2/3 binary64))) |
| 1× | egg-herbie |
| 2504× | *-lowering-*.f32 |
| 2504× | *-lowering-*.f64 |
| 2074× | --lowering--.f32 |
| 2074× | --lowering--.f64 |
| 1750× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 4990 |
| 1 | 369 | 4224 |
| 2 | 845 | 4174 |
| 3 | 2296 | 3919 |
| 4 | 7429 | 3917 |
| 0 | 8361 | 3917 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(acos (/ -1 (* (+ 1 v) (- 1 v)))) |
(acos (/ -1 (* (+ 1 v) (- 1 v)))) |
(acos (/ -1 (* (+ 1 v) (- 1 v)))) |
(acos (/ -1 (* (+ 1 v) (- 1 v)))) |
(acos (/ -1 (* (+ 1 v) (- 1 v)))) |
(acos (/ -1 (* (+ 1 v) (- 1 v)))) |
(acos (/ -1 (* (+ 1 v) (- 1 v)))) |
(acos (/ -1 (* (+ 1 v) (- 1 v)))) |
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
-1 |
(- (* -1 (pow v 2)) 1) |
(- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)) 1) |
(/ 1 (pow v 2)) |
(/ (+ 1 (/ 1 (pow v 2))) (pow v 2)) |
(/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2)) |
(/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2)) |
(/ 1 (pow v 2)) |
(/ (+ 1 (/ 1 (pow v 2))) (pow v 2)) |
(/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2)) |
(/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2)) |
-1 |
(- v 1) |
(- (* v (+ 1 (* -1 v))) 1) |
(- (* v (+ 1 (* v (- v 1)))) 1) |
(/ -1 v) |
(/ (- (/ 1 v) 1) v) |
(/ (- (/ 1 v) (+ 1 (/ 1 (pow v 2)))) v) |
(/ (- (+ (/ 1 v) (/ 1 (pow v 3))) (+ 1 (/ 1 (pow v 2)))) v) |
(/ -1 v) |
(* -1 (/ (- 1 (/ 1 v)) v)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v))) v)) |
1 |
(+ 1 v) |
(+ 1 v) |
(+ 1 v) |
v |
(* v (+ 1 (/ 1 v))) |
(* v (+ 1 (/ 1 v))) |
(* v (+ 1 (/ 1 v))) |
v |
(* v (+ 1 (/ 1 v))) |
(* v (+ 1 (/ 1 v))) |
(* v (+ 1 (/ 1 v))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2) |
(pow (asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(asin (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
1 |
(+ 1 (* -1 v)) |
(+ 1 (* -1 v)) |
(+ 1 (* -1 v)) |
(* -1 v) |
(* v (- (/ 1 v) 1)) |
(* v (- (/ 1 v) 1)) |
(* v (- (/ 1 v) 1)) |
(* -1 v) |
(* -1 (* v (- 1 (/ 1 v)))) |
(* -1 (* v (- 1 (/ 1 v)))) |
(* -1 (* v (- 1 (/ 1 v)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
| Outputs |
|---|
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/ 1 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))) |
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(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
(* -5 v) |
(*.f64 #s(literal -5 binary64) v) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 v)) |
(-.f64 #s(literal 1 binary64) v) |
(+ 1 (* -1 v)) |
(-.f64 #s(literal 1 binary64) v) |
(+ 1 (* -1 v)) |
(-.f64 #s(literal 1 binary64) v) |
(* -1 v) |
(-.f64 #s(literal 0 binary64) v) |
(* v (- (/ 1 v) 1)) |
(-.f64 #s(literal 1 binary64) v) |
(* v (- (/ 1 v) 1)) |
(-.f64 #s(literal 1 binary64) v) |
(* v (- (/ 1 v) 1)) |
(-.f64 #s(literal 1 binary64) v) |
(* -1 v) |
(-.f64 #s(literal 0 binary64) v) |
(* -1 (* v (- 1 (/ 1 v)))) |
(-.f64 #s(literal 1 binary64) v) |
(* -1 (* v (- 1 (/ 1 v)))) |
(-.f64 #s(literal 1 binary64) v) |
(* -1 (* v (- 1 (/ 1 v)))) |
(-.f64 #s(literal 1 binary64) v) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
Compiled 143755 to 6245 computations (95.7% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2491 | 9 | 2500 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2494 | 23 | 2517 |
| Status | Accuracy | Program |
|---|---|---|
| 2.1% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) | |
| 93.8% | (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) | |
| 95.9% | (/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) | |
| ✓ | 96.4% | (/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
| ▶ | 97.9% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
| ▶ | 2.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
| 2.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) | |
| 0.5% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) | |
| 2.0% | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 2.7% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) | |
| 97.9% | (-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) | |
| ✓ | 97.9% | (-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ▶ | 98.8% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
| ▶ | 95.2% | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ▶ | 98.8% | (-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
| 96.4% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) | |
| ✓ | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
| 97.9% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) | |
| ✓ | 98.5% | (acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | 96.5% | (acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | 99.4% | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| ✓ | 98.8% | (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
| ✓ | 98.2% | (acos.f64 #s(literal -1 binary64)) |
Compiled 2100 to 831 computations (60.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cbrt.f64 (sqrt.f64 (PI.f64))) |
| ✓ | cost-diff | 12864 | (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 38656 | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 38656 | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 6656 | (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) |
| ✓ | cost-diff | 6656 | (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) |
| ✓ | cost-diff | 6656 | (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
| ✓ | cost-diff | 6656 | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 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)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
| 4336× | *-lowering-*.f32 |
| 4336× | *-lowering-*.f64 |
| 1714× | sum3-define |
| 1370× | fma-lowering-fma.f32 |
| 1370× | fma-lowering-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 523 |
| 1 | 120 | 477 |
| 2 | 241 | 477 |
| 3 | 651 | 477 |
| 4 | 2474 | 477 |
| 5 | 5829 | 477 |
| 0 | 8134 | 477 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))) |
(/ (PI) 2) |
(PI) |
2 |
(asin (+ -1 (* (* v v) 4))) |
(+ -1 (* (* v v) 4)) |
-1 |
(* (* v v) 4) |
(* v v) |
v |
4 |
(- (PI) (acos (+ 1 (* v (* v -4))))) |
(PI) |
(acos (+ 1 (* v (* v -4)))) |
(+ 1 (* v (* v -4))) |
1 |
(* v (* v -4)) |
v |
(* v -4) |
-4 |
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
(PI) |
4 |
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) |
(+ 1 (* (* v v) -5)) |
1 |
(* (* v v) -5) |
(* v v) |
v |
-5 |
(+ (* v v) -1) |
-1 |
2 |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(/ (PI) 2) |
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
(PI) |
(* (PI) (PI)) |
8 |
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) |
(+ 1 (* (* v v) -5)) |
1 |
(* (* v v) -5) |
(* v v) |
v |
-5 |
(+ (* v v) -1) |
-1 |
3 |
(+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) |
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) |
(* (cbrt (* (PI) (* (PI) (PI)))) (PI)) |
(cbrt (* (PI) (* (PI) (PI)))) |
4 |
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(/ (PI) 2) |
2 |
(- (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))) |
(* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) |
(pow (cbrt (sqrt (PI))) 3) |
(cbrt (sqrt (PI))) |
(sqrt (PI)) |
(PI) |
3 |
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))) |
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v))) |
(+ 1 (* (* v v) -5)) |
1 |
(* (* v v) -5) |
(* v v) |
v |
-5 |
(- 1 (* v v)) |
| Outputs |
|---|
(- (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(asin (+ -1 (* (* v v) 4))) |
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(+ -1 (* (* v v) 4)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) |
-1 |
#s(literal -1 binary64) |
(* (* v v) 4) |
(*.f64 (*.f64 v v) #s(literal 4 binary64)) |
(* v v) |
(*.f64 v v) |
v |
4 |
#s(literal 4 binary64) |
(- (PI) (acos (+ 1 (* v (* v -4))))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(PI) |
(PI.f64) |
(acos (+ 1 (* v (* v -4)))) |
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))) |
(+ 1 (* v (* v -4))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -4)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
v |
(* v -4) |
(*.f64 v #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #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 (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))) |
(+ 1 (* (* v v) -5)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
1 |
#s(literal 1 binary64) |
(* (* v v) -5) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* v v) |
(*.f64 v v) |
v |
-5 |
#s(literal -5 binary64) |
(+ (* v v) -1) |
(+.f64 #s(literal -1 binary64) (*.f64 v v)) |
-1 |
#s(literal -1 binary64) |
2 |
#s(literal 2 binary64) |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(PI) |
(PI.f64) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
8 |
#s(literal 8 binary64) |
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))) |
(+ 1 (* (* v v) -5)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
1 |
#s(literal 1 binary64) |
(* (* v v) -5) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* v v) |
(*.f64 v v) |
v |
-5 |
#s(literal -5 binary64) |
(+ (* v v) -1) |
(+.f64 #s(literal -1 binary64) (*.f64 v v)) |
-1 |
#s(literal -1 binary64) |
3 |
#s(literal 3 binary64) |
(+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))) |
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(* (cbrt (* (PI) (* (PI) (PI)))) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(cbrt (* (PI) (* (PI) (PI)))) |
(PI.f64) |
4 |
#s(literal 4 binary64) |
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) |
(PI.f64) |
(pow (cbrt (sqrt (PI))) 3) |
(sqrt.f64 (PI.f64)) |
(cbrt (sqrt (PI))) |
(cbrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
3 |
#s(literal 3 binary64) |
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(+ 1 (* (* v v) -5)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
1 |
#s(literal 1 binary64) |
(* (* v v) -5) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* v v) |
(*.f64 v v) |
v |
-5 |
#s(literal -5 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -5 binary64)) |
| ✓ | accuracy | 98.4% | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 6.8% | (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 98.4% | (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
| ✓ | accuracy | 98.4% | (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
| ✓ | accuracy | 7.8% | (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
| ✓ | accuracy | 99.4% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
| ✓ | accuracy | 99.3% | (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | accuracy | 7.9% | (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) |
| ✓ | accuracy | 7.8% | (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 v #s(literal -4 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
| ✓ | accuracy | 6.8% | (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 v v) #s(literal 4 binary64)) |
| ✓ | accuracy | 99.3% | (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
| 376.0ms | 118× | 2 | valid |
| 277.0ms | 134× | 1 | valid |
| 3.0ms | 4× | 0 | valid |
Compiled 645 to 51 computations (92.1% saved)
backward-pass: 72.0ms (20.2% of total)ival-acos: 49.0ms (13.8% of total)ival-mult: 46.0ms (12.9% of total)ival-add: 46.0ms (12.9% of total)ival-div: 40.0ms (11.2% of total)ival-pow: 38.0ms (10.7% of total)ival-asin: 25.0ms (7% of total)ival-sub: 20.0ms (5.6% of total)ival-cbrt: 9.0ms (2.5% of total)ival-sqrt: 5.0ms (1.4% of total)ival-pi: 4.0ms (1.1% of total)const: 3.0ms (0.8% of total)| Inputs |
|---|
#<alt (- (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))> |
#<alt (/ (PI) 2)> |
#<alt (PI)> |
#<alt (asin (+ -1 (* (* v v) 4)))> |
#<alt (- (PI) (acos (+ 1 (* v (* v -4)))))> |
#<alt (acos (+ 1 (* v (* v -4))))> |
#<alt (+ 1 (* v (* v -4)))> |
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))> |
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))> |
#<alt (/ (* (PI) (PI)) 4)> |
#<alt (* (PI) (PI))> |
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))> |
#<alt (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))> |
#<alt (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)> |
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) (PI))> |
#<alt (- (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))> |
#<alt (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3))> |
#<alt (pow (cbrt (sqrt (PI))) 3)> |
#<alt (cbrt (sqrt (PI)))> |
#<alt (* (* v v) 4)> |
#<alt (* v -4)> |
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))> |
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))> |
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)> |
#<alt (cbrt (* (PI) (* (PI) (PI))))> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))> |
#<alt (sqrt (PI))> |
#<alt (* (* v v) -5)> |
| Outputs |
|---|
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (asin (- (* 4 (pow v 2)) 1))> |
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))> |
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))> |
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))> |
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))> |
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))> |
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))> |
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))> |
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))> |
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))> |
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))> |
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))> |
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))> |
#<alt (acos (+ 1 (* -4 (pow v 2))))> |
#<alt (acos (+ 1 (* -4 (pow v 2))))> |
#<alt (acos (+ 1 (* -4 (pow v 2))))> |
#<alt (acos (+ 1 (* -4 (pow v 2))))> |
#<alt (acos (- 1 (* 4 (pow v 2))))> |
#<alt (acos (- 1 (* 4 (pow v 2))))> |
#<alt (acos (- 1 (* 4 (pow v 2))))> |
#<alt (acos (- 1 (* 4 (pow v 2))))> |
#<alt (acos (- 1 (* 4 (pow v 2))))> |
#<alt (acos (- 1 (* 4 (pow v 2))))> |
#<alt (acos (- 1 (* 4 (pow v 2))))> |
#<alt (acos (- 1 (* 4 (pow v 2))))> |
#<alt 1> |
#<alt (+ 1 (* -4 (pow v 2)))> |
#<alt (+ 1 (* -4 (pow v 2)))> |
#<alt (+ 1 (* -4 (pow v 2)))> |
#<alt (* -4 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))> |
#<alt (* -4 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* 4 (pow v 2))> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (* -4 v)> |
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))> |
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | inf | (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
| 1.0ms | v | @ | 0 | (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
| 0.0ms | v | @ | inf | (* v -4) |
| 0.0ms | v | @ | 0 | (* v -4) |
| 0.0ms | v | @ | -inf | (* v -4) |
| 1× | batch-egg-rewrite |
| 3400× | *-lowering-*.f32 |
| 3400× | *-lowering-*.f64 |
| 1816× | pow-lowering-pow.f64 |
| 1816× | pow-lowering-pow.f32 |
| 1758× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 298 |
| 1 | 364 | 201 |
| 2 | 3232 | 192 |
| 0 | 8419 | 192 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))) |
(/ (PI) 2) |
(PI) |
(asin (+ -1 (* (* v v) 4))) |
(- (PI) (acos (+ 1 (* v (* v -4))))) |
(acos (+ 1 (* v (* v -4)))) |
(+ 1 (* v (* v -4))) |
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))) |
(+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) |
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) |
(* (cbrt (* (PI) (* (PI) (PI)))) (PI)) |
(- (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))) |
(* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) |
(pow (cbrt (sqrt (PI))) 3) |
(cbrt (sqrt (PI))) |
(* (* v v) 4) |
(* v -4) |
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) |
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) |
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3) |
(cbrt (* (PI) (* (PI) (PI)))) |
(* (PI) (* (PI) (PI))) |
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))) |
(sqrt (PI)) |
(* (* v v) -5) |
| Outputs |
|---|
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 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 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))))) |
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(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (PI.f64))) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 3/2 binary64))) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 v #s(literal -5 binary64)) v) |
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal -5 binary64))) |
| 1× | egg-herbie |
| 2524× | *-lowering-*.f32 |
| 2524× | *-lowering-*.f64 |
| 1392× | +-lowering-+.f64 |
| 1392× | +-lowering-+.f32 |
| 1340× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 3494 |
| 1 | 179 | 2790 |
| 2 | 340 | 2790 |
| 3 | 700 | 2790 |
| 4 | 1419 | 2790 |
| 5 | 3927 | 2790 |
| 0 | 8210 | 2790 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(asin (- (* 4 (pow v 2)) 1)) |
(- (PI) (acos (+ 1 (* -4 (pow v 2))))) |
(- (PI) (acos (+ 1 (* -4 (pow v 2))))) |
(- (PI) (acos (+ 1 (* -4 (pow v 2))))) |
(- (PI) (acos (+ 1 (* -4 (pow v 2))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(acos (+ 1 (* -4 (pow v 2)))) |
(acos (+ 1 (* -4 (pow v 2)))) |
(acos (+ 1 (* -4 (pow v 2)))) |
(acos (+ 1 (* -4 (pow v 2)))) |
(acos (- 1 (* 4 (pow v 2)))) |
(acos (- 1 (* 4 (pow v 2)))) |
(acos (- 1 (* 4 (pow v 2)))) |
(acos (- 1 (* 4 (pow v 2)))) |
(acos (- 1 (* 4 (pow v 2)))) |
(acos (- 1 (* 4 (pow v 2)))) |
(acos (- 1 (* 4 (pow v 2)))) |
(acos (- 1 (* 4 (pow v 2)))) |
1 |
(+ 1 (* -4 (pow v 2))) |
(+ 1 (* -4 (pow v 2))) |
(+ 1 (* -4 (pow v 2))) |
(* -4 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 4)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 4)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 4)) |
(* -4 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 4)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 4)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 4)) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* 4 (pow v 2)) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(* -4 v) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
| Outputs |
|---|
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))) |
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1))) |
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(asin (- (* 4 (pow v 2)) 1)) |
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(asin (- (* 4 (pow v 2)) 1)) |
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(asin (- (* 4 (pow v 2)) 1)) |
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(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
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(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) |
(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
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(- (PI) (acos (- 1 (* 4 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) |
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1 |
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(* -4 (pow v 2)) |
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(* (pow v 2) (- (/ 1 (pow v 2)) 4)) |
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(* -4 (pow v 2)) |
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(* (pow v 2) (- (/ 1 (pow v 2)) 4)) |
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
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(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) |
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(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) |
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(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
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(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(* -4 v) |
(*.f64 v #s(literal -4 binary64)) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) |
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) |
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
Compiled 168036 to 8535 computations (94.9% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3123 | 11 | 3134 |
| Fresh | 6 | 4 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 6 | 8 |
| Total | 3132 | 25 | 3157 |
| Status | Accuracy | Program |
|---|---|---|
| 2.6% | (/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) | |
| 93.8% | (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) | |
| 5.1% | (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) | |
| 2.7% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))) | |
| 94.6% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 12 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 12 binary64))) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) | |
| 5.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| ✓ | 2.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
| 2.0% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) | |
| 0.5% | (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) | |
| 2.0% | (/.f64 (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) | |
| 97.9% | (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) | |
| 97.3% | (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) | |
| 97.9% | (-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) | |
| ✓ | 98.8% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
| 96.4% | (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/18 binary64)) #s(literal 6 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) | |
| ✓ | 95.2% | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| 95.9% | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) | |
| ✓ | 98.8% | (-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
| ✓ | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
| 97.9% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) | |
| ✓ | 98.5% | (acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | 96.5% | (acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| ✓ | 99.4% | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| ✓ | 98.8% | (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
| ✓ | 98.2% | (acos.f64 #s(literal -1 binary64)) |
Compiled 2841 to 721 computations (74.6% saved)
| Inputs |
|---|
(acos.f64 #s(literal -1 binary64)) |
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
(-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/18 binary64)) #s(literal 6 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 12 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 12 binary64))) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
4 calls:
| 14.0ms | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 11.0ms | (*.f64 v v) |
| 11.0ms | v |
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | v |
| 99.4% | 1 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 99.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 99.4% | 1 | (*.f64 v v) |
Compiled 35 to 20 computations (42.9% saved)
| Inputs |
|---|
(acos.f64 #s(literal -1 binary64)) |
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
| Outputs |
|---|
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
4 calls:
| 6.0ms | v |
| 6.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 5.0ms | (*.f64 v v) |
| 5.0ms | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | v |
| 99.4% | 1 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 99.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 99.4% | 1 | (*.f64 v v) |
Compiled 35 to 20 computations (42.9% saved)
| Inputs |
|---|
(acos.f64 #s(literal -1 binary64)) |
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| Outputs |
|---|
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
4 calls:
| 3.0ms | v |
| 2.0ms | (*.f64 v v) |
| 2.0ms | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | v |
| 99.4% | 1 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 99.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 99.4% | 1 | (*.f64 v v) |
Compiled 35 to 20 computations (42.9% saved)
| Inputs |
|---|
(acos.f64 #s(literal -1 binary64)) |
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
| Outputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
2 calls:
| 2.0ms | v |
| 2.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | v |
| 98.8% | 1 | (*.f64 v v) |
Compiled 6 to 3 computations (50% saved)
| Inputs |
|---|
(acos.f64 #s(literal -1 binary64)) |
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
| Outputs |
|---|
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
2 calls:
| 28.0ms | (*.f64 v v) |
| 2.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | v |
| 98.8% | 1 | (*.f64 v v) |
Compiled 6 to 3 computations (50% saved)
| Inputs |
|---|
(acos.f64 #s(literal -1 binary64)) |
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) |
| Outputs |
|---|
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
2 calls:
| 2.0ms | v |
| 1.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | v |
| 98.8% | 1 | (*.f64 v v) |
Compiled 6 to 3 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(acos.f64 #s(literal -1 binary64)) |
| Outputs |
|---|
(acos.f64 #s(literal -1 binary64)) |
1 calls:
| 1.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | v |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 42× | +-commutative_binary64 |
| 32× | *-commutative_binary64 |
| 32× | sub-neg_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 126 |
| 1 | 84 | 126 |
| 2 | 114 | 126 |
| 3 | 134 | 126 |
| 4 | 142 | 126 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(acos.f64 #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) |
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))) |
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) |
(acos.f64 #s(literal -1 binary64)) |
| 5470× | *-lowering-*.f32 |
| 5470× | *-lowering-*.f64 |
| 4532× | *-lowering-*.f32 |
| 4532× | *-lowering-*.f64 |
| 3504× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 258 |
| 1 | 300 | 162 |
| 2 | 2804 | 162 |
| 0 | 10901 | 162 |
| 0 | 9 | 35 |
| 1 | 67 | 35 |
| 2 | 542 | 32 |
| 3 | 7492 | 32 |
| 0 | 8031 | 32 |
| 0 | 147 | 2698 |
| 1 | 449 | 2223 |
| 2 | 1188 | 2219 |
| 3 | 3810 | 2169 |
| 0 | 8953 | 2169 |
| 0 | 37 | 461 |
| 1 | 106 | 356 |
| 2 | 304 | 354 |
| 3 | 836 | 354 |
| 4 | 2205 | 353 |
| 5 | 6329 | 353 |
| 0 | 8346 | 353 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 206 to 106 computations (48.5% saved)
(abs v)
Compiled 674 to 268 computations (60.2% saved)
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