
Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 1.3s | 2 244× | 2 | valid |
| 359.0ms | 4 125× | 0 | valid |
| 313.0ms | 712× | 3 | valid |
| 120.0ms | 1 175× | 1 | valid |
ival-cos: 1.5s (81.1% of total)adjust: 138.0ms (7.3% of total)ival-sub!: 94.0ms (5% of total)ival-div!: 78.0ms (4.1% of total)ival-mult!: 47.0ms (2.5% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 25 |
| 1 | 52 | 25 |
| 2 | 181 | 25 |
| 3 | 665 | 24 |
| 4 | 5773 | 24 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(abs x)
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#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 (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x)) |
| 1.0ms | x | @ | inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x)) |
| 1.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 264 |
| 0 | 70 | 264 |
| 1 | 312 | 264 |
| 0 | 2693 | 252 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#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 (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) 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)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x 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 (-.f64 #s(literal 1 binary64) (pow.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 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (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 (/.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)) |
#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 |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.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 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#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 (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) 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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (cos x) (cos.f64 x)) |
Compiled 469 to 231 computations (50.7% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 15 | 61 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 46 | 16 | 62 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.3% | (/.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))) (*.f64 x x)) |
| 51.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 9.2% | (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))))) | |
| 50.3% | (/.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)))) (*.f64 x x)) | |
| 13.4% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) | |
| 13.5% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 50.7% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) (*.f64 x x))) | |
| 50.3% | (/.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)) (*.f64 x x))) | |
| ✓ | 50.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 49.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
| 27.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 51.1% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 52.2% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ▶ | 51.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
| ▶ | 51.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ▶ | 52.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 414 to 342 computations (17.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/24 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) |
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) |
#s(literal -1/40320 binary64) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 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))) (*.f64 x 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) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/24 x))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24)))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 -1/24)) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2)))))) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720)) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (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 (* (log x) 2) #s(hole binary64 (* 2 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#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 (* -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 (* -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 (* -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 (+ (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 (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/40320 (pow x 5)))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* -1/40320 (pow x 4)))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3)))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2)))) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 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 (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x)))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) 1 (cos x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x 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) (+ (cos x) 1)) |
| 24.0ms | x | @ | inf | ((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) 1 (cos x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x 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) (+ (cos x) 1)) |
| 20.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) 1 (cos x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x 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) (+ (cos x) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 1708 |
| 0 | 325 | 1544 |
| 1 | 1322 | 1529 |
| 0 | 8321 | 1496 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/24 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) |
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) |
#s(literal -1/40320 binary64) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 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))) (*.f64 x 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) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/24 x))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24)))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 -1/24)) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2)))))) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720)) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (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 (* (log x) 2) #s(hole binary64 (* 2 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#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 (* -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 (* -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 (* -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 (+ (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 (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/40320 (pow x 5)))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* -1/40320 (pow x 4)))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3)))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2)))) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 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 (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x)))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
| Outputs |
|---|
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/24 binary64) x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/24 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fma.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))) |
x |
#s(literal -1/24 binary64) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))))) |
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(+.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)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) |
(neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(+.f64 (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.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)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 x x) |
(/.f64 (neg.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))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))) |
(/.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 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(/.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))) |
(/.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))) |
(-.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))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.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 (/.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)))) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))) |
(+.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 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 #s(literal -1/24 binary64) x)) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) x)) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x)) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(literal -1/24 binary64)) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64))) |
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x)) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 #s(literal 1/720 binary64) x)) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x)) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #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))))) (+ (cos x) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 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 (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 (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (log x) (log.f64 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 (-.f64 (*.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 (-.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
#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))) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
#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)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.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 (-.f64 (*.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) #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 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/40320 binary64))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) 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 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/40320 binary64))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))) |
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/40320 binary64))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))) |
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (log x) (log.f64 x)) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 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 (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))))) |
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1/40320 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))))) |
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) x))) |
#s(approx (* (log x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))))) |
#s(approx (log x) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))) |
Compiled 6 225 to 2 435 computations (60.9% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 13 | 481 |
| Fresh | 7 | 3 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 476 | 21 | 497 |
| Status | Accuracy | Program |
|---|---|---|
| 75.8% | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 50.3% | (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (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))) (*.f64 x x)) | |
| 50.3% | (/.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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| ▶ | 51.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 50.4% | (/.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))) (*.f64 x x)) | |
| ▶ | 50.4% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 13.5% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 50.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 49.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
| ▶ | 27.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 50.4% | (/.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)) (*.f64 x x))) | |
| 25.6% | (/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) | |
| 50.7% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x 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)) (*.f64 x x)))) | |
| 51.1% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ▶ | 50.7% | (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
| ▶ | 76.3% | (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
| 52.2% | #s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ✓ | 51.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
| ✓ | 51.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| 26.8% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) | |
| ✓ | 52.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 494 to 458 computations (7.3% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x 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) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#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 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 1/2)) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#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 (- (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) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x))) |
#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 (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (+ 1 (* -1/3 (pow x 2))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))) |
#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 (* -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 (* -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 (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ 1/4 (pow x 2)))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* 1/16 (pow x 2))) (pow x 2)))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* (pow x 2) (+ 1/16 (* 1/96 (pow x 2))))) (pow x 2)))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 1/96 (* 17/11520 (pow x 2))))))) (pow x 2)))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* -7/16 (pow x 2))) (pow x 2)))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* (pow x 2) (- (* 5/96 (pow x 2)) 7/16))) (pow x 2)))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/96 (* 1/11520 (pow x 2)))) 7/16))) (pow x 2)))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 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 (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow x 2)))) |
#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 (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x))))) (pow x 2)))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ 1/2 (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x))))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (* 1/2 (/ (cos (* 2 x)) (* (pow x 2) (+ 1 (cos x))))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (pow x 2)))) |
#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))))) |
#s(approx (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1 (cos x))))) (pow x 2)))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (* 1/2 (/ (cos (neg (* -2 x))) (* (pow x 2) (+ 1 (cos x))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | ((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- (cos x) -1)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (/ 1/2 (* (- (cos x) -1) (* x x))) (* (- (cos x) -1) (* x x)) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) |
| 7.0ms | x | @ | -inf | ((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- (cos x) -1)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (/ 1/2 (* (- (cos x) -1) (* x x))) (* (- (cos x) -1) (* x x)) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) |
| 3.0ms | x | @ | 0 | ((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- (cos x) -1)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (/ 1/2 (* (- (cos x) -1) (* x x))) (* (- (cos x) -1) (* x x)) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 1853 |
| 0 | 383 | 1709 |
| 1 | 1760 | 1675 |
| 0 | 8110 | 1612 |
| 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) (*.f64 x 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) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#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 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 1/2)) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#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 (- (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) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x))) |
#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 (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (+ 1 (* -1/3 (pow x 2))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))) |
#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 (* -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 (* -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 (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ 1/4 (pow x 2)))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* 1/16 (pow x 2))) (pow x 2)))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* (pow x 2) (+ 1/16 (* 1/96 (pow x 2))))) (pow x 2)))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 1/96 (* 17/11520 (pow x 2))))))) (pow x 2)))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* -7/16 (pow x 2))) (pow x 2)))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* (pow x 2) (- (* 5/96 (pow x 2)) 7/16))) (pow x 2)))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/96 (* 1/11520 (pow x 2)))) 7/16))) (pow x 2)))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 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 (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (pow x 2)))) |
#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 (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x))))) (pow x 2)))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) #s(hole binary64 (/ 1/2 (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (* (- (cos x) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x))))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (* 1/2 (/ (cos (* 2 x)) (* (pow x 2) (+ 1 (cos x))))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (pow x 2)))) |
#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))))) |
#s(approx (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1 (cos x))))) (pow x 2)))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) #s(hole binary64 (* 1/2 (/ (cos (neg (* -2 x))) (* (pow x 2) (+ 1 (cos x))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (fabs.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x)) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 x x) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(sin.f64 x) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
x |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (neg.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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.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))) |
(-.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))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
#s(approx (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) #s(literal 1/2 binary64)) |
#s(approx (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (fma.f64 (-.f64 (*.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))) |
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 #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 #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 (-.f64 (*.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 (*.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 (- (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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (- (cos x) -1) (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.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) (* x x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (-.f64 (*.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) (* x x)) (/.f64 (fma.f64 (-.f64 (*.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) (*.f64 x x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.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)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (-.f64 (*.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)) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (fma.f64 (-.f64 (*.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))) |
#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 (-.f64 (*.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 (-.f64 (*.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) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (*.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 (-.f64 (*.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)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (+ x x) (+.f64 x x)) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (* (- (cos x) -1) (* x x)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (* (- (cos x) -1) (* x x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x))) |
#s(approx (* (- (cos x) -1) (* x x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x))) |
#s(approx (* (- (cos x) -1) (* x x)) (*.f64 (fma.f64 (-.f64 (*.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)) (*.f64 x x))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) (/.f64 (fma.f64 #s(literal -7/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/96 binary64) (*.f64 x x)) #s(literal 7/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/11520 binary64) (*.f64 x x) #s(literal 5/96 binary64)) (*.f64 x x)) #s(literal 7/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
#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 (/ (sin x) (* x x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
#s(approx (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x 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 (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (/ 1/2 (* (- (cos x) -1) (* x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (* (- (cos x) -1) (* x x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x 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 (- (/ 1/2 (* (- (cos x) -1) (* x x))) (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (/ (* (cos (+ x x)) 1/2) (* (- (cos x) -1) (* x x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
Compiled 5 666 to 1 633 computations (71.2% saved)
19 alts after pruning (11 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 436 | 6 | 442 |
| Fresh | 6 | 5 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 444 | 19 | 463 |
| Status | Accuracy | Program |
|---|---|---|
| 76.6% | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| ▶ | 50.6% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
| ✓ | 51.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | 50.4% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
| 51.3% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 13.5% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 50.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 49.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
| ✓ | 27.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| ▶ | 99.6% | (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
| ▶ | 25.6% | (/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
| 51.0% | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| ▶ | 51.1% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 76.4% | (*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x))) | |
| 52.2% | #s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ✓ | 51.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
| ✓ | 51.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ▶ | 26.8% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) |
| ✓ | 52.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 357 to 341 computations (4.5% saved)
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 x) x) |
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
#s(literal -1 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x (cos.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 1/2)) |
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 x)) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#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 (/ (sin x) x) #s(hole binary64 1)) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#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 (* -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 (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (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 (* (log x) 2) #s(hole binary64 (* 2 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)))) |
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)))) |
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 (/ (pow (sin x) 2) x))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos 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)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 -1/24)) |
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (exp (* (log x) 2))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 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 (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2)))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x)))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | inf | ((/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) (* (sin x) (/ (sin x) x)) (sin x) x (/ (sin x) x) (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* (- (/ 1/2 (* x x)) 1/24) (* x x)) (- (/ 1/2 (* x x)) 1/24) (/ 1/2 (* x x)) 1/2 (* x x) 1/24 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (exp (* (log x) 2))) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* (* x x) 1/2) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) 1 (/ (cos x) (* x x)) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x))) |
| 14.0ms | x | @ | -inf | ((/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) (* (sin x) (/ (sin x) x)) (sin x) x (/ (sin x) x) (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* (- (/ 1/2 (* x x)) 1/24) (* x x)) (- (/ 1/2 (* x x)) 1/24) (/ 1/2 (* x x)) 1/2 (* x x) 1/24 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (exp (* (log x) 2))) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* (* x x) 1/2) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) 1 (/ (cos x) (* x x)) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x))) |
| 9.0ms | x | @ | 0 | ((/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) (* (sin x) (/ (sin x) x)) (sin x) x (/ (sin x) x) (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* (- (/ 1/2 (* x x)) 1/24) (* x x)) (- (/ 1/2 (* x x)) 1/24) (/ 1/2 (* x x)) 1/2 (* x x) 1/24 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (exp (* (log x) 2))) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* (* x x) 1/2) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) 1 (/ (cos x) (* x x)) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 270 | 1625 |
| 0 | 315 | 1451 |
| 1 | 1258 | 1366 |
| 0 | 8403 | 1295 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 x) x) |
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
#s(literal -1 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x (cos.f64 x)) |
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 1/2)) |
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 x)) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#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 (/ (sin x) x) #s(hole binary64 1)) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#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 (* -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 (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (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 (* (log x) 2) #s(hole binary64 (* 2 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2)))) |
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)))) |
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (/ (* (sin x) (/ (sin x) x)) (* (- (cos x) -1) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (* (sin x) (/ (sin x) x)) #s(hole binary64 (/ (pow (sin x) 2) x))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x))) |
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos 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)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 -1/24)) |
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (exp (* (log x) 2))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 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 (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2)))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x)))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x))) |
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (+.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))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.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))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x (fma.f64 (cos.f64 x) x x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (fma.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #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 x x)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.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)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (cos.f64 x) x x) (*.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 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 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))) (*.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 (*.f64 (*.f64 x x) x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (neg.f64 (fma.f64 (cos.f64 x) x x))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x x))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 (cos.f64 x) x 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)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) x x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (neg.f64 (fma.f64 (cos.f64 x) x x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (fma.f64 (cos.f64 x) x x))) |
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(neg.f64 (/.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)) (*.f64 x x)))) |
(fma.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 (cos.f64 x) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x 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)) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
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x |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (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))) x) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (neg.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (neg.f64 x) (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) x x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 x) x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x)))) |
(fma.f64 (neg.f64 x) (cos.f64 x) x) |
(fma.f64 (neg.f64 (cos.f64 x)) x x) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 x) x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))))) |
(-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x) |
(+.f64 x (*.f64 (neg.f64 x) (cos.f64 x))) |
x |
(*.f64 (cos.f64 x) x) |
(*.f64 x (cos.f64 x)) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.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))) |
#s(approx (* (sin x) (/ (sin x) x)) x) |
#s(approx (* (sin x) (/ (sin x) x)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (sin x) (/ (sin x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (sin x) (/ (sin x) x)) (*.f64 (fma.f64 (-.f64 (*.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)) 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 (-.f64 (*.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 (*.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 (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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))) |
#s(approx (* (- (cos x) -1) x) (+.f64 x x)) |
#s(approx (* (- (cos x) -1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (- (cos x) -1) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (- (cos x) -1) x) (*.f64 (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)) 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) (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 (- (/ 1/2 (* x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
#s(approx (- (/ 1/2 (* x x)) 1/24) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (fma.f64 (-.f64 (*.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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (fma.f64 (-.f64 (*.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 (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (log x) (log.f64 x)) |
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (cos x) (* x x)) (/.f64 (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)) (*.f64 x x))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (*.f64 (fma.f64 (-.f64 (*.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)) x)) |
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) |
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) |
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (fma.f64 (-.f64 (*.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 (*.f64 x x) x))) |
#s(approx (* x (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* x (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* x (cos x)) (*.f64 (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)) x)) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (* (sin x) (/ (sin x) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x)) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x)) |
#s(approx (* (- (cos x) -1) x) (fma.f64 (cos.f64 x) x x)) |
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(literal -1/24 binary64)) |
#s(approx (- (/ 1/2 (* x x)) 1/24) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (log x) (log.f64 x)) |
#s(approx (/ (cos x) (* x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
#s(approx (* x (cos x)) (*.f64 (cos.f64 x) x)) |
#s(approx (* (log x) 2) (fma.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 0 binary64))) |
#s(approx (log x) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
Compiled 6 253 to 2 115 computations (66.2% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 570 | 19 | 589 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 6 | 8 |
| Total | 577 | 31 | 608 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 50.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) | |
| 16.9% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (*.f64 x x) x)) | |
| 51.5% | (/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x) | |
| 13.9% | (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 76.6% | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 12.7% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x))) x) | |
| 25.7% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 3.1% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 x x)) x) | |
| 50.6% | (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) | |
| ✓ | 51.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 17.7% | (/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) | |
| 50.7% | (/.f64 (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 x (*.f64 x x)))) x) | |
| 51.3% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 17.2% | (/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) | |
| ✓ | 50.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 27.2% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 41.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 (*.f64 x x) x)) | |
| 99.6% | (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (fma.f64 (cos.f64 x) x x)) | |
| 25.6% | (/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (log.f64 (*.f64 x x)))) | |
| 51.0% | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| 51.0% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| ✓ | 51.1% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 76.4% | (*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x))) | |
| 52.2% | #s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) | |
| ✓ | 51.9% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
| ✓ | 51.8% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 26.8% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) |
| 27.4% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))) | |
| 26.6% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| ✓ | 52.3% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 830 to 561 computations (32.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 x x)) x) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (log.f64 (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 x (*.f64 x x)))) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x))) x) |
(*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x 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)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.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))) (*.f64 x 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)) (*.f64 x 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))) (*.f64 x x)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x 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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (fma.f64 (cos.f64 x) x x)) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 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)))) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x 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)) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (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))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (fma.f64 (cos.f64 x) x x)) |
2 calls:
| 12.0ms | x |
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.6% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 x x)) x) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (log.f64 (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 x (*.f64 x x)))) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x))) x) |
(*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x 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)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.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))) (*.f64 x 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)) (*.f64 x 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))) (*.f64 x x)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x 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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x))) |
2 calls:
| 13.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.9% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 x x)) x) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (log.f64 (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 x (*.f64 x x)))) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x))) x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 8.0ms | x |
| 6.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.6% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 x x)) x) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (log.f64 (*.f64 x x)))) |
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total -0.8b remaining (-2.6%)
Threshold costs -0.8b (-2.6%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 52.3% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.012336677978210168 | 10448.605993387293 |
| 2.0ms | 48× | 0 | valid |
Compiled 107 to 112 computations (-4.7% saved)
ival-cos: 1.0ms (69.7% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult!: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.012336677978210168 | 10448.605993387293 |
| 4.0ms | 96× | 0 | valid |
Compiled 227 to 244 computations (-7.5% saved)
ival-cos: 1.0ms (48.2% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult!: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 8.700702454816158e+36 | 5.643011891531681e+38 |
| 7.0ms | 112× | 0 | valid |
Compiled 165 to 171 computations (-3.6% saved)
ival-cos: 4.0ms (73.3% of total)ival-mult!: 1.0ms (18.3% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.012336677978210168 | 10448.605993387293 |
| 7.0ms | 112× | 0 | valid |
Compiled 173 to 190 computations (-9.8% saved)
ival-cos: 3.0ms (63.3% of total)ival-mult!: 1.0ms (21.1% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | fuel |
Compiled 82 to 60 computations (26.8% saved)
(abs x)
Compiled 328 to 288 computations (12.2% saved)
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