
Time bar (total: 3.4s)
| 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)
| 584.0ms | 4 158× | 0 | valid |
| 563.0ms | 2 225× | 2 | valid |
| 298.0ms | 682× | 3 | valid |
| 111.0ms | 1 188× | 1 | valid |
| 4.0ms | 3× | 4 | valid |
ival-cos: 868.0ms (64.3% of total)ival-sin: 195.0ms (14.5% of total)adjust: 135.0ms (10% of total)ival-div!: 103.0ms (7.6% of total)ival-sub!: 49.0ms (3.6% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 40 | 22 |
| 2 | 108 | 21 |
| 3 | 236 | 21 |
| 4 | 644 | 21 |
| 5 | 2106 | 21 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.9% | (/.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 | @ | 0 | ((/ (- 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 320 |
| 0 | 110 | 320 |
| 1 | 602 | 320 |
| 0 | 5456 | 296 |
| 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 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (sin.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 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64)) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
x |
(sin.f64 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)) |
#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 (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)) (*.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)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 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 489 to 241 computations (50.7% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 15 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 42 | 16 | 58 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
| 54.7% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) (sin.f64 x)) | |
| ▶ | 54.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sin.f64 x)) |
| 54.4% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (sin.f64 x)) | |
| 52.6% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) | |
| 51.9% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) | |
| 54.5% | (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) | |
| ✓ | 54.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 4.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) | |
| 4.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) | |
| ▶ | 26.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (sin.f64 x)) |
| 54.6% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) | |
| 48.6% | #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)) | |
| ▶ | 48.6% | #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)) |
| 48.6% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) | |
| ▶ | 48.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 422 to 372 computations (11.8% saved)
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sin.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(cos.f64 x) |
x |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(pow.f64 (cos.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 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) |
(*.f64 x x) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (sin.f64 x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (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) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #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 (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 1/3)) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* 1/6 (pow x 2))))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/6 (* 1/24 (pow x 2))))))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/24 (* 11/2160 (pow x 2))))))))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3)) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2))))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))) |
#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 (+ (cos x) 1) #s(hole binary64 2)) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 1/3)) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* -1/3 (pow x 2))))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/3))))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* 1/270 (pow x 2)))) 1/3))))) |
#s(approx (pow (cos x) 3) #s(hole binary64 1)) |
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* -3/2 (pow x 2))))) |
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2))))) |
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2))))) |
#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 (* 1/2 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 (* 1/2 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 (* 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 (* x x) #s(hole binary64 (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 (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #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 (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) #s(hole binary64 (/ (- (/ 1 (+ 1 (* (cos x) (+ 1 (cos x))))) (/ (pow (cos x) 3) (+ 1 (* (cos x) (+ 1 (cos x)))))) (sin x)))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #s(hole binary64 (- (/ 1 (+ 1 (* (cos x) (+ 1 (cos x))))) (/ (pow (cos x) 3) (+ 1 (* (cos x) (+ 1 (cos x)))))))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (/ 1 (+ 1 (* (cos x) (+ 1 (cos x))))))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x)))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x)))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (/ (pow (cos x) 3) (+ 1 (* (cos x) (+ 1 (cos x))))))) |
#s(approx (pow (cos x) 3) #s(hole binary64 (pow (cos x) 3))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#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 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#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 | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) 1 (+ (* (cos x) (+ (cos x) 1)) 1) (cos x) x (+ (cos x) 1) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) (pow (cos x) 3) 3 (sin x) (/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 (/ (- 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 (* x x) 1/240 1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (* x x) 1/2) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2) |
| 7.0ms | x | @ | inf | ((/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) 1 (+ (* (cos x) (+ (cos x) 1)) 1) (cos x) x (+ (cos x) 1) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) (pow (cos x) 3) 3 (sin x) (/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 (/ (- 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 (* x x) 1/240 1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (* x x) 1/2) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2) |
| 5.0ms | x | @ | 0 | ((/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) 1 (+ (* (cos x) (+ (cos x) 1)) 1) (cos x) x (+ (cos x) 1) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) (pow (cos x) 3) 3 (sin x) (/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 (/ (- 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 (* x x) 1/240 1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (* x x) 1/2) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 430 | 3155 |
| 0 | 484 | 2602 |
| 1 | 2320 | 2588 |
| 0 | 8330 | 2474 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sin.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(cos.f64 x) |
x |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(pow.f64 (cos.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 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) |
(*.f64 x x) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (sin.f64 x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (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) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #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 (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 1/3)) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* 1/6 (pow x 2))))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/6 (* 1/24 (pow x 2))))))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/24 (* 11/2160 (pow x 2))))))))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3)) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2))))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))) |
#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 (+ (cos x) 1) #s(hole binary64 2)) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 1/3)) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* -1/3 (pow x 2))))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/3))))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* 1/270 (pow x 2)))) 1/3))))) |
#s(approx (pow (cos x) 3) #s(hole binary64 1)) |
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* -3/2 (pow x 2))))) |
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2))))) |
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2))))) |
#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 (* 1/2 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 (* 1/2 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 (* 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 (* x x) #s(hole binary64 (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 (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #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 (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (sin x)) #s(hole binary64 (/ (- (/ 1 (+ 1 (* (cos x) (+ 1 (cos x))))) (/ (pow (cos x) 3) (+ 1 (* (cos x) (+ 1 (cos x)))))) (sin x)))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) #s(hole binary64 (- (/ 1 (+ 1 (* (cos x) (+ 1 (cos x))))) (/ (pow (cos x) 3) (+ 1 (* (cos x) (+ 1 (cos x)))))))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (/ 1 (+ 1 (* (cos x) (+ 1 (cos x))))))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x)))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x)))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(hole binary64 (/ (pow (cos x) 3) (+ 1 (* (cos x) (+ 1 (cos x))))))) |
#s(approx (pow (cos x) 3) #s(hole binary64 (pow (cos x) 3))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x)))) |
#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 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (sin x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#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 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) (/.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) (sin.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
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(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
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(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
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(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
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(fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x))))))) |
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(+.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
x |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
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(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
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(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
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(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) |
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(/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 x)) |
(*.f64 (cos.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 x) #s(literal 3 binary64)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))) |
#s(literal 3 binary64) |
(sin.f64 x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
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(+.f64 x x) |
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#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.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)) (*.f64 x x))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) #s(literal 1/3 binary64)) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/3 binary64))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/3 binary64))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 11/2160 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/3 binary64))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(literal 3 binary64)) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 3 binary64))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x) #s(literal 3 binary64))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -11/240 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x) #s(literal 3 binary64))) |
#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 (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)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (+ (cos x) 1) #s(literal 2 binary64)) |
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (cos x) 1) (fma.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)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) #s(literal 1/3 binary64)) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1/3 binary64))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1/3 binary64))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/270 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1/3 binary64))) |
#s(approx (pow (cos x) 3) #s(literal 1 binary64)) |
#s(approx (pow (cos x) 3) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (pow (cos x) 3) (fma.f64 (fma.f64 #s(literal 7/8 binary64) (*.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (pow (cos x) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/240 binary64) (*.f64 x x) #s(literal 7/8 binary64)) (*.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#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 (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)) (*.f64 x x) #s(literal 1 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)) |
#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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 #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 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 (* x x) (*.f64 x x)) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.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)) (*.f64 x x))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (* (* x x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#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)) |
#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 (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.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)) (*.f64 x x))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 x x)) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 x)) #s(literal 1 binary64)) |
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* 2 x) (+.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (+ (cos x) 1) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
#s(approx (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) |
#s(approx (pow (cos x) 3) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 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)) #s(literal 17/40320 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 (/.f64 #s(literal 1/240 binary64) (*.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 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) #s(literal 17/40320 binary64)) (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 (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 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) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x 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) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.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) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.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) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.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 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) #s(literal 17/40320 binary64)))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 17/40320 binary64))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) #s(literal 17/40320 binary64)) (*.f64 (*.f64 x x) (*.f64 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) (*.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
#s(approx (- (/ 1 (+ (* (cos x) (+ (cos x) 1)) 1)) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1)) 1))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (*.f64 (-.f64 (neg.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 (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #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) (neg.f64 (*.f64 (-.f64 (neg.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 5 binary64))))) |
Compiled 7 883 to 2 707 computations (65.7% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 560 | 13 | 573 |
| Fresh | 6 | 4 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 568 | 21 | 589 |
| Status | Accuracy | Program |
|---|---|---|
| 76.6% | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) | |
| 54.2% | (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) | |
| 54.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) | |
| 54.6% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) | |
| 54.6% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| 52.1% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) | |
| ▶ | 54.5% | (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
| ✓ | 54.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 4.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) | |
| ▶ | 4.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) |
| ▶ | 54.6% | (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
| ✓ | 26.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (sin.f64 x)) |
| 25.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| ▶ | 25.9% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
| 24.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x)) | |
| 54.6% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) | |
| ▶ | 99.4% | (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (sin.f64 x))) |
| 48.6% | #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)) | |
| ✓ | 48.6% | #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)) |
| 48.6% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) | |
| ✓ | 48.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 479 to 452 computations (5.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(sin.f64 x) |
x |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 x) (sin.f64 x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(approx (sin x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin 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 (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#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 x #s(hole binary64 x)) |
#s(approx (+ (cos x) 1) #s(hole binary64 2)) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#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 (/ (sin x) (sin x)) #s(hole binary64 1)) |
#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 (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (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 (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (cos (+ x x)) #s(hole binary64 1)) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* 2 x))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* x (+ 2 (* -5/6 (pow x 2)))))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 17/120 (pow x 2)) 5/6)))))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 17/120 (* -13/1008 (pow x 2)))) 5/6)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) #s(hole binary64 (/ (sin x) (+ 1 (cos x))))) |
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (cos x))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x))))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) (/ (sin x) (+ (cos x) 1)) (sin x) x (+ (cos x) 1) (cos x) 1 (/ (sin x) (sin x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (* x x) 1/2) (* x x) 1/2 (sin x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (+ (cos x) 1) (sin x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2) |
| 3.0ms | x | @ | inf | ((* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) (/ (sin x) (+ (cos x) 1)) (sin x) x (+ (cos x) 1) (cos x) 1 (/ (sin x) (sin x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (* x x) 1/2) (* x x) 1/2 (sin x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (+ (cos x) 1) (sin x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2) |
| 2.0ms | x | @ | 0 | ((* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) (/ (sin x) (+ (cos x) 1)) (sin x) x (+ (cos x) 1) (cos x) 1 (/ (sin x) (sin x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (* x x) 1/2) (* x x) 1/2 (sin x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (cos x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (+ (cos x) 1) (sin x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 1913 |
| 0 | 343 | 1609 |
| 1 | 1540 | 1586 |
| 0 | 8127 | 1487 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(sin.f64 x) |
x |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 x) (sin.f64 x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(approx (sin x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin 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 (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#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 x #s(hole binary64 x)) |
#s(approx (+ (cos x) 1) #s(hole binary64 2)) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#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 (/ (sin x) (sin x)) #s(hole binary64 1)) |
#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 (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (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 (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (cos (+ x x)) #s(hole binary64 1)) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* 2 x))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* x (+ 2 (* -5/6 (pow x 2)))))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 17/120 (pow x 2)) 5/6)))))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 17/120 (* -13/1008 (pow x 2)))) 5/6)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (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 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (sin x))) #s(hole binary64 (/ (sin x) (+ 1 (cos x))))) |
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (* (+ (cos x) 1) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (cos x))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x))))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (sin.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 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
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(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(sin.f64 x) |
x |
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(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
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#s(literal 1 binary64) |
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(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (sin.f64 x)) |
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(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
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(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
#s(approx (sin x) x) |
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(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x))))) |
(/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) (-.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x))))) |
(+.f64 x x) |
#s(literal 2 binary64) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 (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 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (sin x) (+ (cos x) 1)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (sin x) (+ (cos x) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (sin x) (+ (cos x) 1)) (*.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 (/ (sin x) (+ (cos x) 1)) (*.f64 (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 x x) #s(literal 1/2 binary64)) 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 (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)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx x x) |
#s(approx (+ (cos x) 1) #s(literal 2 binary64)) |
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (cos x) 1) (fma.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)) (*.f64 x x) #s(literal 2 binary64))) |
#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 (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)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) (sin x)) #s(literal 1 binary64)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 (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 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (*.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)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (* (* x x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 (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 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 x x)) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* 2 x) (+.f64 x x)) |
#s(approx (* (+ (cos x) 1) (sin x)) (+.f64 x x)) |
#s(approx (* (+ (cos x) 1) (sin x)) (*.f64 (fma.f64 #s(literal -5/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (+ (cos x) 1) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 17/120 binary64) (*.f64 x x) #s(literal -5/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (+ (cos x) 1) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -13/1008 binary64) (*.f64 x x) #s(literal 17/120 binary64)) (*.f64 x x) #s(literal -5/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (*.f64 (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 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 x x)) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* 2 x) (+.f64 x x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
#s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (+ (cos x) 1) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
#s(approx (* (+ (cos x) 1) (sin x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
Compiled 4 529 to 1 383 computations (69.5% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 370 | 6 | 376 |
| Fresh | 8 | 4 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 2 | 2 | 4 |
| Total | 384 | 13 | 397 |
| Status | Accuracy | Program |
|---|---|---|
| 4.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) | |
| 4.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| ▶ | 25.8% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x)) |
| 23.9% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(approx (sin x) x)) | |
| ▶ | 24.9% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
| ▶ | 25.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
| ✓ | 25.9% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
| 23.9% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) | |
| 48.6% | #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)) | |
| ✓ | 48.6% | #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)) |
| ▶ | 48.6% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
| ✓ | 48.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 100.0% | #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
Compiled 326 to 317 computations (2.8% saved)
| Inputs |
|---|
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
(*.f64 x x) |
#s(approx (sin x) x) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (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 (tan (/ x 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (tan (/ x 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 2) #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 (* (+ (* (* (+ (* (+ (* 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 (- 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 (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#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 (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (* (/ 1 (pow x -2)) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ 1 (pow x -2)) #s(hole binary64 (pow x 2))) |
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (tan (/ x 2)) #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 (* (+ (* (* (+ (* (+ (* 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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* -1/24 (pow x 4)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (sin x) (+ 1 (cos x)))))) |
#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))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan (/ x 2)) (/ x 2) x 2 (/ (- 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) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (+ (* -1/24 (* x x)) 1/2) -1/24 (* x x) (sin x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (* x x) 1/2) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 1 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (/ 1 (pow x -2)) 1/2) (/ 1 (pow x -2)) (pow x -2) -2) |
| 4.0ms | x | @ | -inf | ((/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan (/ x 2)) (/ x 2) x 2 (/ (- 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) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (+ (* -1/24 (* x x)) 1/2) -1/24 (* x x) (sin x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (* x x) 1/2) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 1 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (/ 1 (pow x -2)) 1/2) (/ 1 (pow x -2)) (pow x -2) -2) |
| 2.0ms | x | @ | 0 | ((/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan (/ x 2)) (/ x 2) x 2 (/ (- 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) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (+ (* -1/24 (* x x)) 1/2) -1/24 (* x x) (sin x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (* x x) 1/2) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 1 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (/ 1 (pow x -2)) 1/2) (/ 1 (pow x -2)) (pow x -2) -2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 281 | 2130 |
| 0 | 307 | 2063 |
| 1 | 1363 | 1967 |
| 0 | 8163 | 1815 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
(*.f64 x x) |
#s(approx (sin x) x) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (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 (tan (/ x 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (tan (/ x 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 2) #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 (* (+ (* (* (+ (* (+ (* 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 (- 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 (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#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 (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (* (/ 1 (pow x -2)) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ 1 (pow x -2)) #s(hole binary64 (pow x 2))) |
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (sin x) (+ 1 (cos x)))))) |
#s(approx (tan (/ x 2)) #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 (* (+ (* (* (+ (* (+ (* 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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* -1/24 (pow x 4)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (sin x) (+ 1 (cos x)))))) |
#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))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (+.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64))))) |
(/.f64 (sin.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))) (cos.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(tan.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
x |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64))) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) |
(*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) |
(*.f64 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) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)))) (neg.f64 (neg.f64 #s(approx (sin x) x)))) |
(/.f64 (neg.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))) (neg.f64 #s(approx (sin x) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) #s(approx (sin x) x)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))) #s(approx (sin x) x))) |
(neg.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) (neg.f64 #s(approx (sin x) x)))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x)))))) |
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#s(approx (* (+ (* -1/6 (* x x)) 1) x) x) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* -1/6 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (* (* x x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (pow x -2) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 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)) #s(literal 17/40320 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 (/.f64 #s(literal 1/240 binary64) (*.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 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) #s(literal 17/40320 binary64)) (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 (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 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) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x 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) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.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) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.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) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.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 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) #s(literal 17/40320 binary64)))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 17/40320 binary64))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) #s(literal 17/40320 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/24 binary64))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 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 x x)) #s(literal -1/240 binary64)) (*.f64 x x))))) |
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 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 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) |
Compiled 3 876 to 1 557 computations (59.8% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 329 | 17 | 346 |
| Fresh | 1 | 4 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 333 | 26 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| 4.7% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x)) | |
| 4.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| 24.7% | (/.f64 #s(approx (- 1 (cos x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| 25.8% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x)) | |
| 25.4% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x 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))) | |
| ✓ | 24.9% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
| 25.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| 24.8% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) | |
| 23.0% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) | |
| 25.8% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) #s(approx (sin x) x)) | |
| 25.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) | |
| 25.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))) | |
| 25.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) x))) | |
| 1.5% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))) | |
| 15.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))))) | |
| 1.5% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))) | |
| ✓ | 25.9% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
| 23.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| 23.9% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) | |
| 3.7% | (/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x))) #s(approx (sin x) x)) | |
| 3.7% | (/.f64 #s(approx (- 1 (cos x)) #s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/24 binary64)))) #s(approx (sin x) x)) | |
| 48.6% | #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)) | |
| ✓ | 48.6% | #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)) |
| ✓ | 48.6% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
| ✓ | 48.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
| 100.0% | #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan.f64 #s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64))))) |
Compiled 894 to 681 computations (23.8% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) 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 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(/.f64 #s(approx (- 1 (cos x)) #s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/24 binary64)))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x))) #s(approx (sin x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) 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 (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)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) 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)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x 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))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 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)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan.f64 #s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (sin.f64 x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (sin.f64 x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) (sin.f64 x)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sin.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (+ (cos x) 1) (sin x))) (tan.f64 #s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64))))) |
2 calls:
| 16.0ms | x |
| 11.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 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)
Total -31.0b remaining (-94.5%)
Threshold costs -31b (-94.5%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) 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 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(/.f64 #s(approx (- 1 (cos x)) #s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/24 binary64)))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x))) #s(approx (sin x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) 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 (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)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) 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)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(approx (sin x) x)) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x 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))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 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)) (*.f64 #s(literal 1/2 binary64) x)) |
2 calls:
| 8.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 48.8% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| 1× | fuel |
Compiled 25 to 23 computations (8% saved)
(negabs x)
Compiled 91 to 89 computations (2.2% saved)
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