
Time bar (total: 6.3s)
| 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 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 872.0ms | 2 213× | 2 | valid |
| 723.0ms | 711× | 3 | valid |
| 501.0ms | 4 180× | 0 | valid |
| 115.0ms | 1 150× | 1 | valid |
| 2.0ms | 2× | 4 | valid |
ival-cos: 881.0ms (44.1% of total)ival-sub!: 470.0ms (23.5% of total)ival-div!: 275.0ms (13.8% of total)ival-sin: 222.0ms (11.1% of total)adjust: 152.0ms (7.6% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 13 |
| 1 | 44 | 12 |
| 2 | 140 | 12 |
| 3 | 740 | 12 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(negabs x)
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(sin.f64 x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x)) |
| 1.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x)) |
| 1.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 320 |
| 0 | 110 | 299 |
| 1 | 301 | 299 |
| 2 | 854 | 293 |
| 3 | 3755 | 293 |
| 0 | 8136 | 293 |
| 0 | 15017 | 269 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
| Outputs |
|---|
(/.f64 (+.f64 (tan.f64 (PI.f64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (PI.f64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (PI.f64))))) |
(/.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (fma.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (fma.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (fma.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (sin.f64 x)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))) (+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))) |
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#s(literal 1 binary64) |
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x |
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(sin.f64 (neg.f64 (+.f64 (PI.f64) x))) |
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(sin.f64 x) |
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(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
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(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (PI.f64))) |
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#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
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#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (sin x) (sin.f64 x)) |
Compiled 2 966 to 912 computations (69.3% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 216 | 7 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 217 | 7 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| 5.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) | |
| 4.1% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) | |
| ▶ | 100.0% | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| ▶ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
| ▶ | 45.3% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 144 to 140 computations (2.8% saved)
| Inputs |
|---|
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/240 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
#s(literal 17/40320 binary64) |
| Outputs |
|---|
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))) |
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 1/240)) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (+ 1/240 (* 17/40320 (pow x 2))))) |
#s(approx (tan (* 1/2 x)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/240 (pow x 5)))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/240 (pow x 4)))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (* 1/240 (pow x 2)))) |
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 17/40320 (pow x 7)))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 17/40320 (pow x 5)))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* 17/40320 (pow x 4)))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (* 17/40320 (pow x 2)))) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320) |
| 4.0ms | x | @ | inf | ((tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320) |
| 3.0ms | x | @ | 0 | ((tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 1845 |
| 0 | 239 | 1692 |
| 1 | 641 | 1689 |
| 2 | 1957 | 1677 |
| 0 | 8643 | 1677 |
| 0 | 22286 | 1659 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/240 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
#s(literal 17/40320 binary64) |
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))) |
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 1/240)) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (+ 1/240 (* 17/40320 (pow x 2))))) |
#s(approx (tan (* 1/2 x)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/240 (pow x 5)))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/240 (pow x 4)))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (* 1/240 (pow x 2)))) |
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 17/40320 (pow x 7)))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 17/40320 (pow x 5)))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* 17/40320 (pow x 4)))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (* 17/40320 (pow x 2)))) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
| Outputs |
|---|
(/.f64 (+.f64 (tan.f64 (PI.f64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (PI.f64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (tan.f64 (PI.f64))))) |
(/.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (tan.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (tan.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (tan.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (tan.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(neg.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(tan.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) |
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (*.f64 x x) x) x)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) |
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x))) |
(neg.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
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(fma.f64 (*.f64 #s(literal -17/40320 binary64) x) (neg.f64 x) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -17/40320 binary64) x) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
(fma.f64 x (*.f64 #s(literal 17/40320 binary64) x) #s(literal 1/240 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) (*.f64 (*.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (neg.f64 x)) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) (*.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))))) |
(-.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/240 binary64) x) x))) |
(-.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (fabs.f64 x))) (fabs.f64 x))) |
(-.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (neg.f64 x))) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))))) |
(-.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) (*.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) (*.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal 1/240 binary64) (*.f64 x x))))) |
(-.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) #s(literal -1/240 binary64)) |
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x) #s(literal 1/240 binary64)) |
(+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -17/40320 binary64))) |
(+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x)) |
#s(literal 17/40320 binary64) |
#s(approx (tan (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (tan (* 1/2 x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (tan (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (tan (* 1/2 x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx x x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* x x) 1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(literal 1/24 binary64)) |
#s(approx (+ (* 1/240 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) x)) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x)) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(literal 1/240 binary64)) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
#s(approx (tan (* 1/2 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) |
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) |
#s(approx (+ (* (* x x) 1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/240 binary64) x) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) x) x)) |
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* 1/240 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/240 binary64) x) x)) |
#s(approx (+ (* 1/240 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 17/40320 binary64))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x))))) |
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 17/40320 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 17/40320 binary64))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x))))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (*.f64 #s(literal 17/40320 binary64) x) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x)) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x))))) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) (*.f64 (*.f64 #s(literal 17/40320 binary64) x) x)) |
#s(approx (+ (* 17/40320 (* x x)) 1/240) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
Compiled 20 206 to 5 861 computations (71% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 316 | 10 | 1 326 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 316 | 17 | 1 333 |
| Status | Accuracy | Program |
|---|---|---|
| 5.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) | |
| 4.1% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) | |
| ✓ | 100.0% | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
| ▶ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
| 16.9% | #s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) | |
| 14.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (*.f64 x x))) | |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| 45.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) | |
| ✓ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
| 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) x)) | |
| ✓ | 45.3% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 16.9% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 14.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
| 21.6% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x))) | |
| ▶ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 376 to 360 computations (4.3% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(*.f64 x x) |
x |
#s(literal 17/40320 binary64) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) |
(fabs.f64 x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (*.f64 (*.f64 x x) x) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 1/240)) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (+ 1/240 (* 17/40320 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (fabs x) 1/2) #s(hole binary64 (* 1/2 (fabs x)))) |
#s(approx (fabs x) #s(hole binary64 (fabs x))) |
#s(approx (* (/ 1/2 (* x x)) (* (* x x) x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* (/ (* (* x x) x) x) (/ 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (* x x) x) x) #s(hole binary64 (pow x 2))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* 17/40320 (pow x 7)))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 17/40320 (pow x 5)))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (* 17/40320 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (* 17/40320 (pow x 2)))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* 1/240 (pow x 5)))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* 1/240 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (sin x)) (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) (+ (* (* x x) 17/40320) 1/240) (* x x) x 17/40320 1/240 1/24 (* x 1/2) 1/2 (/ (- 1 (cos x)) (sin x)) (* (fabs x) 1/2) (fabs x) (/ (- 1 (cos x)) (sin x)) (* (/ 1/2 (* x x)) (* (* x x) x)) (/ 1/2 (* x x)) (* (* x x) x) (/ (- 1 (cos x)) (sin x)) (* (/ (* (* x x) x) x) (/ 1/2 x)) (/ (* (* x x) x) x) (/ 1/2 x) (/ (- 1 (cos x)) (sin x)) (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) (+ (* (* x x) 1/240) 1/24)) |
| 3.0ms | x | @ | inf | ((/ (- 1 (cos x)) (sin x)) (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) (+ (* (* x x) 17/40320) 1/240) (* x x) x 17/40320 1/240 1/24 (* x 1/2) 1/2 (/ (- 1 (cos x)) (sin x)) (* (fabs x) 1/2) (fabs x) (/ (- 1 (cos x)) (sin x)) (* (/ 1/2 (* x x)) (* (* x x) x)) (/ 1/2 (* x x)) (* (* x x) x) (/ (- 1 (cos x)) (sin x)) (* (/ (* (* x x) x) x) (/ 1/2 x)) (/ (* (* x x) x) x) (/ 1/2 x) (/ (- 1 (cos x)) (sin x)) (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) (+ (* (* x x) 1/240) 1/24)) |
| 2.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (sin x)) (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) (+ (* (* x x) 17/40320) 1/240) (* x x) x 17/40320 1/240 1/24 (* x 1/2) 1/2 (/ (- 1 (cos x)) (sin x)) (* (fabs x) 1/2) (fabs x) (/ (- 1 (cos x)) (sin x)) (* (/ 1/2 (* x x)) (* (* x x) x)) (/ 1/2 (* x x)) (* (* x x) x) (/ (- 1 (cos x)) (sin x)) (* (/ (* (* x x) x) x) (/ 1/2 x)) (/ (* (* x x) x) x) (/ 1/2 x) (/ (- 1 (cos x)) (sin x)) (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) (+ (* (* x x) 1/240) 1/24)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 1604 |
| 0 | 241 | 1424 |
| 1 | 628 | 1415 |
| 2 | 1956 | 1397 |
| 0 | 8512 | 1362 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(*.f64 x x) |
x |
#s(literal 17/40320 binary64) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) |
(fabs.f64 x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (*.f64 (*.f64 x x) x) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 1/240)) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (+ 1/240 (* 17/40320 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (fabs x) 1/2) #s(hole binary64 (* 1/2 (fabs x)))) |
#s(approx (fabs x) #s(hole binary64 (fabs x))) |
#s(approx (* (/ 1/2 (* x x)) (* (* x x) x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* (/ (* (* x x) x) x) (/ 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (* x x) x) x) #s(hole binary64 (pow x 2))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* 17/40320 (pow x 7)))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 17/40320 (pow x 5)))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (* 17/40320 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (* 17/40320 (pow x 2)))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* 1/240 (pow x 5)))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* 1/240 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 (fabs.f64 x))) (/.f64 x (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 (fabs.f64 x))) (/.f64 x (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 (fabs.f64 x))) (/.f64 x (neg.f64 (fabs.f64 x))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 (neg.f64 x))) (/.f64 x (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 (neg.f64 x))) (/.f64 x (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 (neg.f64 x))) (/.f64 x (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x)) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x)) (/.f64 x (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x)) (/.f64 x (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x)) (/.f64 x (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (fabs.f64 x))) (/.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (fabs.f64 x))) (/.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (fabs.f64 x))) (/.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (neg.f64 x))) (/.f64 (*.f64 x x) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (neg.f64 x))) (/.f64 (*.f64 x x) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (neg.f64 x))) (/.f64 (*.f64 x x) (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (/.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x)) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (/.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (/.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
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#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) |
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#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x)) |
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#s(approx (* x x) (*.f64 x x)) |
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#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
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#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) (*.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x))))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 17/40320 binary64))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))))) |
#s(approx (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 17/40320 binary64))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x))))) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) x) x)) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x)) |
#s(approx (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x))))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (* x x) 1/240) 1/24) (*.f64 #s(literal 1/240 binary64) (*.f64 x x))) |
#s(approx (+ (* (* x x) 1/240) 1/24) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) x) x) (* x 1/2)) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))))) |
#s(approx (* (+ (* (+ (* (* x x) 17/40320) 1/240) (* x x)) 1/24) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* x 1/2)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
Compiled 19 660 to 5 478 computations (72.1% saved)
23 alts after pruning (13 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 755 | 7 | 1 762 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 756 | 23 | 1 779 |
| Status | Accuracy | Program |
|---|---|---|
| 5.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) | |
| 4.1% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) | |
| ✓ | 100.0% | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
| ▶ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
| ▶ | 16.9% | #s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| 45.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) | |
| ✓ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
| ▶ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) x)) |
| ✓ | 45.3% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 16.9% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) |
| 14.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 x x) x))) | |
| 12.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) x) x) (/.f64 #s(literal 1/2 binary64) x))) | |
| ✓ | 16.9% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
| 15.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) | |
| ✓ | 14.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
| 14.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) x))) | |
| 21.6% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x))) | |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
| ▶ | 24.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 501 to 482 computations (3.8% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) x) x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) x) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) |
#s(literal 1/24 binary64) |
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) |
#s(literal -17/40320 binary64) |
(*.f64 x x) |
x |
#s(literal -1/240 binary64) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (* (* x x) x) x) (*.f64 x x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
#s(literal 17/40320 binary64) |
#s(literal 1/240 binary64) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* 1/24 x))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* x (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 1/24)) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) #s(hole binary64 (* 1/240 (pow x 2)))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) #s(hole binary64 -1/240)) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) #s(hole binary64 (- (* -17/40320 (pow x 2)) 1/240))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ (* (* x x) x) x) (/ 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (* x x) x) x) #s(hole binary64 (pow x 2))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (/ (* (* (* x x) x) 1/2) x) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (* (* x x) x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* (* (* x x) x) 1/2) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* (/ (pow x 3) x) (/ 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (pow x 3) x) #s(hole binary64 (pow x 2))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/240 (pow x 4))))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 4) (+ 1/240 (* 17/40320 (pow x 2))))))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) #s(hole binary64 (* 1/240 (pow x 3)))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/240 (* 17/40320 (pow x 2)))))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) #s(hole binary64 (* 1/240 x))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) #s(hole binary64 (* x (+ 1/240 (* 17/40320 (pow x 2)))))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 1/240)) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (+ 1/240 (* 17/40320 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* 17/40320 (pow x 7)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* 17/40320 (pow x 5)))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (* 17/40320 (pow x 4)))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) #s(hole binary64 (* 17/40320 (pow x 4)))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) #s(hole binary64 (* -17/40320 (pow x 2)))) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) #s(hole binary64 (* -1 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* 17/40320 (pow x 7)))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/2 (pow x 6)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) #s(hole binary64 (* 17/40320 (pow x 5)))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) #s(hole binary64 (* 17/40320 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) #s(hole binary64 (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (* 17/40320 (pow x 2)))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 80.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (sin x)) (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) (+ (* -17/40320 (* x x)) -1/240) -17/40320 (* x x) x -1/240 (* (neg x) x) (neg x) (* x 1/2) 1/2 (/ (- 1 (cos x)) (sin x)) (* (/ (* (* x x) x) x) (/ 1/2 x)) (/ (* (* x x) x) x) (/ 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (/ (* (* (* x x) x) 1/2) x) x) (/ (* (* (* x x) x) 1/2) x) (* (* (* x x) x) 1/2) (* (* x x) x) (/ (- 1 (cos x)) (sin x)) (* (/ (pow x 3) x) (/ 1/2 x)) (/ (pow x 3) x) (pow x 3) 3 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) (* (+ (* (* x x) 17/40320) 1/240) x) (+ (* (* x x) 17/40320) 1/240) 17/40320 1/240) |
| 30.0ms | x | @ | inf | ((/ (- 1 (cos x)) (sin x)) (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) (+ (* -17/40320 (* x x)) -1/240) -17/40320 (* x x) x -1/240 (* (neg x) x) (neg x) (* x 1/2) 1/2 (/ (- 1 (cos x)) (sin x)) (* (/ (* (* x x) x) x) (/ 1/2 x)) (/ (* (* x x) x) x) (/ 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (/ (* (* (* x x) x) 1/2) x) x) (/ (* (* (* x x) x) 1/2) x) (* (* (* x x) x) 1/2) (* (* x x) x) (/ (- 1 (cos x)) (sin x)) (* (/ (pow x 3) x) (/ 1/2 x)) (/ (pow x 3) x) (pow x 3) 3 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) (* (+ (* (* x x) 17/40320) 1/240) x) (+ (* (* x x) 17/40320) 1/240) 17/40320 1/240) |
| 5.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (sin x)) (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) (+ (* -17/40320 (* x x)) -1/240) -17/40320 (* x x) x -1/240 (* (neg x) x) (neg x) (* x 1/2) 1/2 (/ (- 1 (cos x)) (sin x)) (* (/ (* (* x x) x) x) (/ 1/2 x)) (/ (* (* x x) x) x) (/ 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (/ (* (* (* x x) x) 1/2) x) x) (/ (* (* (* x x) x) 1/2) x) (* (* (* x x) x) 1/2) (* (* x x) x) (/ (- 1 (cos x)) (sin x)) (* (/ (pow x 3) x) (/ 1/2 x)) (/ (pow x 3) x) (pow x 3) 3 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) (* (+ (* (* x x) 17/40320) 1/240) x) (+ (* (* x x) 17/40320) 1/240) 17/40320 1/240) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 2707 |
| 0 | 315 | 2502 |
| 1 | 731 | 2393 |
| 2 | 2244 | 2325 |
| 0 | 8915 | 2207 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) x) x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) x) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) |
#s(literal 1/24 binary64) |
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) |
#s(literal -17/40320 binary64) |
(*.f64 x x) |
x |
#s(literal -1/240 binary64) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (* (* x x) x) x) (*.f64 x x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
#s(literal 17/40320 binary64) |
#s(literal 1/240 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* 1/24 x))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* x (+ 1/24 (* 1/240 (pow x 2)))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 1/24)) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2))))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) #s(hole binary64 (* 1/240 (pow x 2)))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) #s(hole binary64 -1/240)) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) #s(hole binary64 (- (* -17/40320 (pow x 2)) 1/240))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ (* (* x x) x) x) (/ 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (* x x) x) x) #s(hole binary64 (pow x 2))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (/ (* (* (* x x) x) 1/2) x) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (* (* x x) x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* (* (* x x) x) 1/2) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* (/ (pow x 3) x) (/ 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (pow x 3) x) #s(hole binary64 (pow x 2))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/240 (pow x 4))))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 4) (+ 1/240 (* 17/40320 (pow x 2))))))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) #s(hole binary64 (* 1/240 (pow x 3)))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/240 (* 17/40320 (pow x 2)))))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) #s(hole binary64 (* 1/240 x))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) #s(hole binary64 (* x (+ 1/240 (* 17/40320 (pow x 2)))))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 1/240)) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (+ 1/240 (* 17/40320 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* 17/40320 (pow x 7)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* 17/40320 (pow x 5)))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (* 17/40320 (pow x 4)))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(hole binary64 (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) #s(hole binary64 (* 17/40320 (pow x 4)))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) #s(hole binary64 (* -17/40320 (pow x 2)))) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) #s(hole binary64 (* -1 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* 17/40320 (pow x 7)))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (* 17/40320 (pow x 6)))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/2 (pow x 6)) (* 1/240 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) #s(hole binary64 (* 17/40320 (pow x 5)))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) #s(hole binary64 (* 17/40320 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) #s(hole binary64 (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (* 17/40320 (pow x 2)))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(hole binary64 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))))) |
#s(approx (* (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal -1/2 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (neg.f64 x))) (*.f64 x x))) |
(fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x (*.f64 x (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64)) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 x (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x x) (*.f64 x (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 #s(literal -1/2 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) |
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(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
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(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64) (*.f64 #s(literal 1/240 binary64) x)) |
(fma.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/240 binary64) x)) |
(fma.f64 #s(literal 1/240 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))) |
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(fma.f64 #s(literal 1/240 binary64) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64))) |
(fma.f64 #s(literal 1/240 binary64) x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1/240 binary64) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64))) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/240 binary64) x)) |
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(fma.f64 #s(literal -1/240 binary64) (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64))) |
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(fma.f64 (*.f64 x x) (*.f64 #s(literal 17/40320 binary64) x) (*.f64 #s(literal 1/240 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (*.f64 #s(literal 1/240 binary64) x)) |
(fma.f64 x #s(literal 1/240 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))) |
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(-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64)) (*.f64 #s(literal -1/240 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/240 binary64) x) (*.f64 (*.f64 #s(literal -17/40320 binary64) x) (*.f64 x x))) |
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(-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) |
(-.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -17/40320 binary64) x))) |
(-.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal 17/40320 binary64)))) |
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(+.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) |
(+.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 17/40320 binary64) x))) |
(+.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal -17/40320 binary64)))) |
(+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))) |
#s(literal 17/40320 binary64) |
#s(literal 1/240 binary64) |
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#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (*.f64 #s(literal 1/24 binary64) x)) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x)) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) #s(literal 1/24 binary64)) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) (*.f64 #s(literal 1/240 binary64) (*.f64 x x))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x)) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) #s(literal -1/240 binary64)) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) (fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64))) |
#s(approx (/ (pow x 3) x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x)) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ (pow x 3) x) (/ 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (pow x 3) x) (*.f64 x x)) |
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ (pow x 3) x) (/ 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (* (* (* x x) x) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(approx (* (* (* x x) x) 1/2) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) |
#s(approx (pow x 3) (*.f64 (*.f64 x x) x)) |
#s(approx (* (/ (pow x 3) x) (/ 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (pow x 3) x) (*.f64 x x)) |
#s(approx (pow x 3) (*.f64 (*.f64 x x) x)) |
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#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) #s(literal 1/2 binary64)) |
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#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/240 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/240 binary64))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) (*.f64 #s(literal 1/240 binary64) x)) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x)) |
#s(approx (+ (* (* x x) 17/40320) 1/240) #s(literal 1/240 binary64)) |
#s(approx (+ (* (* x x) 17/40320) 1/240) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64)) x) (*.f64 x x))) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x)) |
#s(approx (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64)) x) x)) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal 17/40320 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64)) x)) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x)) |
#s(approx (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal 17/40320 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64)) x)) |
#s(approx (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x)) (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x)) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) (*.f64 (*.f64 x x) #s(literal -17/40320 binary64))) |
#s(approx (+ (* -17/40320 (* x x)) -1/240) (fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64)) x) (*.f64 x x))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x)) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
#s(approx (+ (* (* x x) 1/24) (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 17/40320 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64)) x) (*.f64 x x))) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x)) x)) |
#s(approx (+ (* (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) x) 1/2) (*.f64 (-.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64)) x) x)) |
#s(approx (* (* (+ (* (* x x) 17/40320) 1/240) x) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) (*.f64 x x))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 17/40320 binary64))) |
#s(approx (* (+ (* (* x x) 17/40320) 1/240) x) (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x)) |
#s(approx (+ (* (* x x) 17/40320) 1/240) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))) |
#s(approx (+ (* (* x x) 17/40320) 1/240) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 17/40320 binary64))) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))))) |
#s(approx (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 17/40320 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 17/40320 binary64))) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (* (* (+ 1/24 (* (+ (* -17/40320 (* x x)) -1/240) (* (neg x) x))) x) x) x) (* x 1/2)) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))))) |
Compiled 15 109 to 6 506 computations (56.9% saved)
26 alts after pruning (13 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 325 | 5 | 1 330 |
| Fresh | 0 | 8 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 10 | 10 |
| Total | 1 327 | 26 | 1 353 |
| Status | Accuracy | Program |
|---|---|---|
| 5.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) | |
| 4.1% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) | |
| ✓ | 100.0% | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
| 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64)) (*.f64 x x))) x) x) x (*.f64 x #s(literal 1/2 binary64)))) | |
| 12.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) (*.f64 x x)) x)) | |
| 24.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) | |
| 24.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) | |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| 45.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) | |
| ✓ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
| ✓ | 45.5% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) x)) |
| ✓ | 45.3% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| ✓ | 16.9% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) |
| 14.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 x x) x))) | |
| 12.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) x) x) (/.f64 #s(literal 1/2 binary64) x))) | |
| ✓ | 16.9% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
| 15.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) | |
| ✓ | 14.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
| 14.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) x))) | |
| 21.6% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x))) | |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
| 12.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1/2 binary64) x))) | |
| ✓ | 24.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 45.4% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 570 to 485 computations (14.9% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) (*.f64 x x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64)) (*.f64 x x))) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
2 calls:
| 13.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 100.0% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) (*.f64 x x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64)) (*.f64 x x))) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 (neg.f64 x) x))) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) (*.f64 x x)) x #s(literal 1/2 binary64))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 x #s(literal 1/2 binary64)))) |
2 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 45.5% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) (*.f64 x x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 45.5% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) (*.f64 x x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2 binary64)))) |
2 calls:
| 11.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 45.4% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 45.4% | 1 | x |
Compiled 7 to 7 computations (0% saved)
Total -19.8b remaining (-56.7%)
Threshold costs -19.8b (-56.7%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (/ (* (* x x) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 45.4% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| 1× | fuel |
Compiled 52 to 35 computations (32.7% saved)
(negabs x)
Compiled 224 to 199 computations (11.2% saved)
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