
Time bar (total: 4.8s)
| 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 11 computations (31.3% saved)
| 1.1s | 3 838× | 3 | valid |
| 719.0ms | 2 041× | 2 | valid |
| 578.0ms | 8 244× | 0 | invalid |
| 260.0ms | 2 206× | 1 | valid |
| 10.0ms | 171× | 0 | valid |
ival-acos: 678.0ms (31.7% of total)ival-mult!: 605.0ms (28.3% of total)adjust: 395.0ms (18.5% of total)ival-div!: 248.0ms (11.6% of total)ival-sub!: 215.0ms (10% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 43 |
| 1 | 86 | 43 |
| 2 | 321 | 43 |
| 3 | 1688 | 43 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(abs v)
Compiled 22 to 18 computations (18.2% saved)
| Inputs |
|---|
(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 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(-.f64 (*.f64 v v) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))) |
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1)) |
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2))))) |
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2)))) |
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5)))) |
#s(approx (- (* v v) 1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | ((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)) |
| 1.0ms | v | @ | -inf | ((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)) |
| 1.0ms | v | @ | 0 | ((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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 390 |
| 0 | 80 | 373 |
| 1 | 426 | 370 |
| 2 | 3414 | 370 |
| 0 | 8307 | 323 |
| 1 | 30131 | 323 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(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 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(-.f64 (*.f64 v v) #s(literal 1 binary64)) |
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))) |
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1)) |
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2))))) |
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2)))) |
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5)))) |
#s(approx (- (* v v) 1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2)))))) |
| Outputs |
|---|
(neg.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (asin.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(-.f64 (PI.f64) (acos.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(-.f64 (PI.f64) (acos.f64 (-.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (*.f64 v #s(literal 5 binary64)) v))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(neg.f64 (-.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) (fabs.f64 v)) (fabs.f64 v)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) (neg.f64 v)) (neg.f64 v)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) v) v) |
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)))) |
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64))) |
(*.f64 v (*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) |
(neg.f64 (*.f64 (*.f64 v v) (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(neg.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -5 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -5 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (*.f64 v #s(literal 5 binary64))) v #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 5 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v #s(literal 5 binary64)) (neg.f64 v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 v) v) #s(literal 5 binary64) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal -5 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal -5 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 5 binary64) (*.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (neg.f64 v) v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v)) |
(+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 5 binary64))) v) |
(*.f64 (*.f64 #s(literal 5 binary64) (fabs.f64 v)) (fabs.f64 v)) |
(*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 v)) (neg.f64 v)) |
(*.f64 (*.f64 v #s(literal 5 binary64)) v) |
(*.f64 (*.f64 (neg.f64 v) v) #s(literal -5 binary64)) |
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 5 binary64))) |
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 5 binary64))) |
(*.f64 #s(literal -5 binary64) (*.f64 (neg.f64 v) v)) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) #s(literal 1 binary64)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
#s(literal 5 binary64) |
(*.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v))) |
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v))) |
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v))) |
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 v) (fabs.f64 v)) |
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64))) |
(*.f64 (neg.f64 v) (neg.f64 v)) |
(*.f64 (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 v (*.f64 v #s(literal 1 binary64))) |
(*.f64 v v) |
(*.f64 #s(literal 1 binary64) (*.f64 v v)) |
(pow.f64 (neg.f64 (fabs.f64 (fabs.f64 v))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (neg.f64 v))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 v)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (neg.f64 v)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (fabs.f64 v))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 v))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 v))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 v #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (fabs.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 v) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 v) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1/2 binary64)) |
(pow.f64 v #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 v) v)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 v v) v) v)) |
(fabs.f64 (*.f64 (neg.f64 v) v)) |
(fabs.f64 (*.f64 v v)) |
(+.f64 (/.f64 (fma.f64 v v (/.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 2 binary64))) |
v |
(*.f64 (+.f64 (fabs.f64 v) #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal 1 binary64))) |
(*.f64 (+.f64 (neg.f64 v) #s(literal 1 binary64)) (-.f64 (neg.f64 v) #s(literal 1 binary64))) |
(*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) |
(*.f64 (-.f64 v #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(fma.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 v) (neg.f64 v) #s(literal -1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 v (*.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 v v #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(-.f64 (*.f64 v v) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 v v)) |
(+.f64 (*.f64 v v) #s(literal -1 binary64)) |
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) v) v #s(literal -1 binary64))) |
#s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) |
#s(approx (- 1 (* 5 (* v v))) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))) |
#s(approx (* 5 (* v v)) (*.f64 (*.f64 v #s(literal 5 binary64)) v)) |
#s(approx (* v v) (*.f64 v v)) |
#s(approx v v) |
#s(approx (- (* v v) 1) (fma.f64 v v #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 5 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) v) v)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -5 binary64)))) |
#s(approx (- 1 (* 5 (* v v))) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
#s(approx (- 1 (* 5 (* v v))) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))) |
#s(approx (- (* v v) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)) |
Compiled 1 322 to 692 computations (47.7% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 4 | 157 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 154 | 4 | 158 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| ▶ | 98.7% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
| ▶ | 98.6% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
| ▶ | 98.2% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
Compiled 53 to 49 computations (7.5% saved)
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) |
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) |
(*.f64 #s(literal -5 binary64) v) |
#s(literal -5 binary64) |
#s(literal 1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 4)) |
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2))))) |
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2))))) |
#s(approx (* -5 v) #s(hole binary64 (* -5 v))) |
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* 4 (pow v 2)))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2)))))) |
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* 4 (pow v 4)))) |
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4)))))) |
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2)))) |
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5)))) |
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | ((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) -1 (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) 4 (* v v) v (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (+ (* 4 (* v v)) 4) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 1 (+ (* v v) -1)) |
| 1.0ms | v | @ | -inf | ((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) -1 (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) 4 (* v v) v (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (+ (* 4 (* v v)) 4) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 1 (+ (* v v) -1)) |
| 1.0ms | v | @ | 0 | ((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) -1 (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) 4 (* v v) v (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (+ (* 4 (* v v)) 4) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 1 (+ (* v v) -1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 692 |
| 0 | 124 | 618 |
| 1 | 661 | 615 |
| 2 | 4769 | 614 |
| 0 | 8323 | 605 |
| 1 | 27813 | 605 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) |
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) |
(*.f64 #s(literal -5 binary64) v) |
#s(literal -5 binary64) |
#s(literal 1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 4)) |
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2))))) |
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2))))) |
#s(approx (* -5 v) #s(hole binary64 (* -5 v))) |
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* 4 (pow v 2)))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2)))))) |
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* 4 (pow v 4)))) |
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4)))))) |
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2)))) |
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5)))) |
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2)))))) |
| Outputs |
|---|
(neg.f64 (-.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (-.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 v)) (neg.f64 v) #s(literal -1 binary64)) |
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(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal 4 binary64)) |
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(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -1 binary64) #s(literal 4 binary64)) |
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(-.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))) |
(-.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
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(+.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) (fabs.f64 v)) (fabs.f64 v)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) (neg.f64 v)) (neg.f64 v)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) v) v) |
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)))) |
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64))) |
(*.f64 v (*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) |
(neg.f64 (*.f64 (*.f64 v v) (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(neg.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -5 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -5 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) v)) v #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 #s(literal -5 binary64) v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) v) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v #s(literal 5 binary64)) (neg.f64 v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 v) v) #s(literal 5 binary64) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal -5 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal -5 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) v) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -5 binary64) v) (*.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
(fma.f64 v (*.f64 (*.f64 #s(literal -5 binary64) v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 v (*.f64 #s(literal -5 binary64) v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (neg.f64 v) v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -5 binary64) v) v) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) v) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) v) #s(literal 1 binary64)) |
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(*.f64 (*.f64 v #s(literal -1 binary64)) #s(literal 5 binary64)) |
(*.f64 (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -5 binary64) v) |
(*.f64 #s(literal -1 binary64) (*.f64 v #s(literal 5 binary64))) |
(*.f64 v #s(literal -5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 #s(literal -1 binary64) v)) |
(neg.f64 (*.f64 v #s(literal 5 binary64))) |
#s(literal -5 binary64) |
#s(literal 1 binary64) |
(*.f64 (+.f64 (fabs.f64 v) #s(literal -1 binary64)) (-.f64 (fabs.f64 v) #s(literal -1 binary64))) |
(*.f64 (+.f64 (neg.f64 v) #s(literal -1 binary64)) (-.f64 (neg.f64 v) #s(literal -1 binary64))) |
(*.f64 (+.f64 (fabs.f64 v) #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal 1 binary64))) |
(*.f64 (+.f64 (neg.f64 v) #s(literal 1 binary64)) (-.f64 (neg.f64 v) #s(literal 1 binary64))) |
(*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) |
(*.f64 (-.f64 v #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(fma.f64 (*.f64 (fabs.f64 v) #s(literal -1 binary64)) (*.f64 (fabs.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 v) #s(literal -1 binary64)) (*.f64 (neg.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 v #s(literal -1 binary64)) (*.f64 v #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 v) v) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 v) (neg.f64 v) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal -1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 v (*.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 v v #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) v)) |
(-.f64 (*.f64 v v) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 v v)) |
(+.f64 (*.f64 v v) #s(literal -1 binary64)) |
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) v) v #s(literal 4 binary64)) v) v #s(literal -1 binary64))) |
#s(approx (* v v) (*.f64 v v)) |
#s(approx v v) |
#s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) |
#s(approx (+ (* 4 (* v v)) 4) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))) |
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
#s(approx (+ (* (* -5 v) v) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* -5 v) v) 1) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))) |
#s(approx (* -5 v) (*.f64 #s(literal -5 binary64) v)) |
#s(approx (+ (* v v) -1) (fma.f64 v v #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 5 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) v) v)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -5 binary64)))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(literal 4 binary64) (*.f64 v v))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)) |
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) v) v)) |
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) v) v)) |
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) v))) (*.f64 (*.f64 (*.f64 v v) v) v))) |
#s(approx (+ (* 4 (* v v)) 4) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))) |
#s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 #s(literal -5 binary64) v) v)) |
#s(approx (+ (* (* -5 v) v) 1) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))) |
#s(approx (+ (* v v) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)) |
Compiled 3 145 to 1 444 computations (54.1% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 1 | 378 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 377 | 5 | 382 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| ✓ | 98.7% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | 98.6% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
| ▶ | 42.4% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)))) |
| ✓ | 98.2% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
Compiled 77 to 71 computations (7.8% saved)
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)) |
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) |
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
#s(literal 4 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 v v)) |
#s(literal 1 binary64) |
(*.f64 v v) |
v |
| Outputs |
|---|
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (/ -1 v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (/ (- (* 4 (pow v 2)) 1) v))) |
#s(approx (- 4 (/ 1 (* v v))) #s(hole binary64 (/ -1 (pow v 2)))) |
#s(approx (- 4 (/ 1 (* v v))) #s(hole binary64 (/ (- (* 4 (pow v 2)) 1) (pow v 2)))) |
#s(approx (/ 1 (* v v)) #s(hole binary64 (/ 1 (pow v 2)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* 4 (pow v 2)))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2)))))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* 4 v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* v (- 4 (/ 1 (pow v 2)))))) |
#s(approx (- 4 (/ 1 (* v v))) #s(hole binary64 4)) |
#s(approx (- 4 (/ 1 (* v v))) #s(hole binary64 (- 4 (/ 1 (pow v 2))))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* -1 (* v (- (/ 1 (pow v 2)) 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | -inf | ((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* (* (- 4 (/ 1 (* v v))) v) v) (* (- 4 (/ 1 (* v v))) v) (- 4 (/ 1 (* v v))) 4 (/ 1 (* v v)) 1 (* v v) v) |
| 1.0ms | v | @ | inf | ((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* (* (- 4 (/ 1 (* v v))) v) v) (* (- 4 (/ 1 (* v v))) v) (- 4 (/ 1 (* v v))) 4 (/ 1 (* v v)) 1 (* v v) v) |
| 1.0ms | v | @ | 0 | ((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* (* (- 4 (/ 1 (* v v))) v) v) (* (- 4 (/ 1 (* v v))) v) (- 4 (/ 1 (* v v))) 4 (/ 1 (* v v)) 1 (* v v) v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 553 |
| 0 | 95 | 496 |
| 1 | 501 | 492 |
| 0 | 3707 | 449 |
| 1 | 12719 | 449 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)) |
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) |
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
#s(literal 4 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 v v)) |
#s(literal 1 binary64) |
(*.f64 v v) |
v |
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (/ -1 v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (/ (- (* 4 (pow v 2)) 1) v))) |
#s(approx (- 4 (/ 1 (* v v))) #s(hole binary64 (/ -1 (pow v 2)))) |
#s(approx (- 4 (/ 1 (* v v))) #s(hole binary64 (/ (- (* 4 (pow v 2)) 1) (pow v 2)))) |
#s(approx (/ 1 (* v v)) #s(hole binary64 (/ 1 (pow v 2)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* 4 (pow v 2)))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2)))))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* 4 v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* v (- 4 (/ 1 (pow v 2)))))) |
#s(approx (- 4 (/ 1 (* v v))) #s(hole binary64 4)) |
#s(approx (- 4 (/ 1 (* v v))) #s(hole binary64 (- 4 (/ 1 (pow v 2))))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* -1 (* v (- (/ 1 (pow v 2)) 4))))) |
| Outputs |
|---|
(neg.f64 (-.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))))))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (fabs.f64 v)) (fabs.f64 v)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (neg.f64 v)) (neg.f64 v)) |
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)))) |
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) v) v) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64))) |
(*.f64 v (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) v)) |
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v))) |
(neg.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 v)) (fabs.f64 v) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 v)) (fabs.f64 v) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 v)) (neg.f64 v) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 v)) (neg.f64 v) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -1 binary64) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 (*.f64 #s(literal 4 binary64) v) (*.f64 v #s(literal 1 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) v) (*.f64 v #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 (*.f64 #s(literal 4 binary64) v) v (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) v) v (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 (*.f64 v v) #s(literal 4 binary64) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (*.f64 v v) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 v (*.f64 #s(literal 4 binary64) v) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 v (*.f64 #s(literal 4 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 v v))) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64))) v) |
(*.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) (neg.f64 v)) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) v) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) v)) |
(*.f64 v (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 v (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64))) |
(neg.f64 (*.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) v))) |
(neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) v)) |
(fma.f64 (neg.f64 v) (/.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (neg.f64 v) #s(literal -4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) v) #s(literal 1 binary64) (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) v) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) v)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (neg.f64 v) (*.f64 #s(literal -4 binary64) (neg.f64 v))) |
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) v) (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) v)) |
(fma.f64 #s(literal 4 binary64) v (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 #s(literal 4 binary64) v (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) v)) |
(fma.f64 v #s(literal 4 binary64) (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(fma.f64 v #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) v)) |
(+.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (neg.f64 v) #s(literal -4 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (neg.f64 v)) (*.f64 #s(literal -4 binary64) (neg.f64 v))) |
(+.f64 (*.f64 #s(literal 4 binary64) v) (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(+.f64 (*.f64 #s(literal 4 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) v)) |
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 4 binary64)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) |
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) |
#s(literal 4 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 v)) (/.f64 #s(literal 1 binary64) (fabs.f64 v))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 v)) (/.f64 #s(literal -1 binary64) (fabs.f64 v))) |
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) v)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
(pow.f64 (fabs.f64 v) #s(literal -2 binary64)) |
(pow.f64 (neg.f64 v) #s(literal -2 binary64)) |
(pow.f64 (*.f64 v v) #s(literal -1 binary64)) |
(pow.f64 v #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 v)) (fabs.f64 v)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 2 binary64) v)) |
(/.f64 (/.f64 #s(literal 1 binary64) v) v) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 v) v))) |
(/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 v)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v v))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) v)) |
(/.f64 #s(literal 1 binary64) (*.f64 v v)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (fabs.f64 v) #s(literal -1 binary64)) (*.f64 (fabs.f64 v) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 v) #s(literal -1 binary64)) (*.f64 (neg.f64 v) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v))) |
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v))) |
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v))) |
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 v) (fabs.f64 v)) |
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64))) |
(*.f64 (neg.f64 v) (neg.f64 v)) |
(*.f64 (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 v (*.f64 v #s(literal 1 binary64))) |
(*.f64 v v) |
(*.f64 #s(literal 1 binary64) (*.f64 v v)) |
(pow.f64 (fabs.f64 (fabs.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 v) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 v) #s(literal 2 binary64)) |
(pow.f64 v #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (*.f64 v v) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 v) v)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 v v) v) v)) |
(fabs.f64 (*.f64 (neg.f64 v) v)) |
(fabs.f64 (*.f64 v v)) |
v |
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) v) v #s(literal -1 binary64))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) v)) |
#s(approx (- 4 (/ 1 (* v v))) (/.f64 #s(literal -1 binary64) (*.f64 v v))) |
#s(approx (- 4 (/ 1 (* v v))) (/.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 v v))) |
#s(approx (/ 1 (* v v)) (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
#s(approx (* v v) (*.f64 v v)) |
#s(approx v v) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 5 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) v) v)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -5 binary64)))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 v v) #s(literal 4 binary64))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (*.f64 #s(literal 4 binary64) v)) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) v)) |
#s(approx (- 4 (/ 1 (* v v))) #s(literal 4 binary64)) |
#s(approx (- 4 (/ 1 (* v v))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -4 binary64)) v)) |
Compiled 1 518 to 868 computations (42.8% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 1 | 145 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 144 | 6 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| ✓ | 98.7% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | 98.6% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | 42.4% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)))) |
| ▶ | 93.1% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) |
| ✓ | 98.2% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
Compiled 102 to 93 computations (8.8% saved)
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)) |
(*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 #s(literal -1 binary64) v) |
#s(literal -1 binary64) |
v |
| Outputs |
|---|
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (/ -1 v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (/ (- (* 4 (pow v 2)) 1) v))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* 4 (pow v 2)))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2)))))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* 4 v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* v (- 4 (/ 1 (pow v 2)))))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* -1 (* v (- (/ 1 (pow v 2)) 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | inf | ((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* (* (- 4 (/ 1 (* v v))) v) v) (* (- 4 (/ 1 (* v v))) v) (/ -1 v) -1 v) |
| 1.0ms | v | @ | -inf | ((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* (* (- 4 (/ 1 (* v v))) v) v) (* (- 4 (/ 1 (* v v))) v) (/ -1 v) -1 v) |
| 1.0ms | v | @ | 0 | ((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* (* (- 4 (/ 1 (* v v))) v) v) (* (- 4 (/ 1 (* v v))) v) (/ -1 v) -1 v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 486 |
| 0 | 78 | 447 |
| 1 | 467 | 444 |
| 0 | 3559 | 402 |
| 1 | 12288 | 402 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)) |
(*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 #s(literal -1 binary64) v) |
#s(literal -1 binary64) |
v |
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (/ -1 v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (/ (- (* 4 (pow v 2)) 1) v))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* 4 (pow v 2)))) |
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2)))))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* 4 v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* v (- 4 (/ 1 (pow v 2)))))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) #s(hole binary64 (* -1 (* v (- (/ 1 (pow v 2)) 4))))) |
| Outputs |
|---|
(neg.f64 (-.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)) |
(*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v) |
(*.f64 v #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) |
(*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) v)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) |
(pow.f64 (neg.f64 v) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 v))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 v))) |
(/.f64 #s(literal -1 binary64) v) |
(/.f64 #s(literal 1 binary64) (neg.f64 v)) |
(neg.f64 (/.f64 #s(literal 1 binary64) v)) |
#s(literal -1 binary64) |
v |
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) v) v #s(literal -1 binary64))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) v)) |
#s(approx v v) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 5 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) v) v)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -5 binary64)))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 v v) #s(literal 4 binary64))) |
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (*.f64 #s(literal 4 binary64) v)) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v)) |
#s(approx (* (- 4 (/ 1 (* v v))) v) (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v)) |
Compiled 370 to 167 computations (54.9% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 0 | 28 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 28 | 6 | 34 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| ✓ | 98.7% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | 98.6% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | 42.4% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)))) |
| ✓ | 93.1% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) |
| ✓ | 98.2% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
Compiled 177 to 146 computations (17.5% saved)
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #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)))) |
| Outputs |
|---|
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
4 calls:
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 2.0ms | 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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (*.f64 v v) |
| 99.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 99.1% | 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)))) |
| 99.1% | 1 | v |
Compiled 24 to 20 computations (16.7% saved)
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
| Outputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
4 calls:
| 2.0ms | v |
| 1.0ms | (*.f64 v v) |
| 1.0ms | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 1.0ms | (/.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 |
|---|---|---|
| 98.7% | 1 | (*.f64 v v) |
| 98.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 98.7% | 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)))) |
| 98.7% | 1 | v |
Compiled 24 to 20 computations (16.7% saved)
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)))) |
| Outputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
4 calls:
| 2.0ms | v |
| 1.0ms | (*.f64 v v) |
| 1.0ms | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 1.0ms | (/.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 |
|---|---|---|
| 98.6% | 1 | (*.f64 v v) |
| 98.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 98.6% | 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)))) |
| 98.6% | 1 | v |
Compiled 24 to 20 computations (16.7% saved)
Total -3.3b remaining (-294%)
Threshold costs -3.3b (-294%)
| Inputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* 4 (* v v)) -1) (*.f64 #s(approx (* (- 4 (/ 1 (* v v))) v) (/.f64 #s(literal -1 binary64) v)) v)))) |
| Outputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) |
4 calls:
| 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)))) |
| 1.0ms | v |
| 1.0ms | (*.f64 v v) |
| 1.0ms | (/.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 |
|---|---|---|
| 98.2% | 1 | (*.f64 v v) |
| 98.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 98.2% | 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)))) |
| 98.2% | 1 | v |
Compiled 24 to 20 computations (16.7% saved)
| 1× | done |
Compiled 42 to 27 computations (35.7% saved)
(abs v)
Compiled 159 to 134 computations (15.7% saved)
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