
Time bar (total: 2.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 2 |
| 50% | 24.8% | 24.8% | 50.4% | 0% | 0% | 0% | 3 |
| 75% | 37.2% | 12.4% | 50.4% | 0% | 0% | 0% | 4 |
| 87.5% | 43.4% | 6.2% | 50.4% | 0% | 0% | 0% | 5 |
| 93.8% | 46.5% | 3.1% | 50.4% | 0% | 0% | 0% | 6 |
| 96.9% | 48.1% | 1.6% | 50.4% | 0% | 0% | 0% | 7 |
| 98.4% | 48.8% | 0.8% | 50.4% | 0% | 0% | 0% | 8 |
| 99.2% | 49.2% | 0.4% | 50.4% | 0% | 0% | 0% | 9 |
| 99.6% | 49.4% | 0.2% | 50.4% | 0% | 0% | 0% | 10 |
| 99.8% | 49.5% | 0.1% | 50.4% | 0% | 0% | 0% | 11 |
| 99.9% | 49.6% | 0% | 50.4% | 0% | 0% | 0% | 12 |
Compiled 12 to 10 computations (16.7% saved)
| 1.4s | 5 869× | 2 | valid |
| 238.0ms | 2 377× | 1 | valid |
| 5.0ms | 10× | 0 | valid |
ival-cos: 948.0ms (72.3% of total)adjust: 264.0ms (20.1% of total)ival-sub!: 94.0ms (7.2% of total)ival-<=: 5.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 29 | 12 |
| 2 | 122 | 12 |
| 3 | 582 | 12 |
| 4 | 7398 | 12 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.4% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(abs x)
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
| Outputs |
|---|
#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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((- 1 (cos x)) 1 (cos x) x) |
| 0.0ms | x | @ | 0 | ((- 1 (cos x)) 1 (cos x) x) |
| 0.0ms | x | @ | -inf | ((- 1 (cos x)) 1 (cos x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 153 |
| 0 | 56 | 153 |
| 1 | 361 | 153 |
| 0 | 3981 | 141 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
#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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))))) |
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 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)) |
(/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) |
(/.f64 (cos.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 (fabs.f64 x))) |
(cos.f64 (fabs.f64 (fabs.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 (fabs.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
x |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (fma.f64 #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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (cos x) (cos.f64 x)) |
Compiled 316 to 164 computations (48.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 4 | 49 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 46 | 4 | 50 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.7% | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
| ▶ | 100.0% | #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
| ▶ | 99.9% | #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
| ▶ | 99.6% | #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(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)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
#s(literal 1/720 binary64) |
(-.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)) |
| Outputs |
|---|
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24)) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* -1/24 (pow x 4)))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* 1/720 (pow x 6)))) |
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5)))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | ((- 1 (cos x)) (* (* x x) 1/2) (* x x) x 1/2 (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) -1/24 (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (- 1 (cos x)) 1 (cos x)) |
| 3.0ms | x | @ | inf | ((- 1 (cos x)) (* (* x x) 1/2) (* x x) x 1/2 (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) -1/24 (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (- 1 (cos x)) 1 (cos x)) |
| 2.0ms | x | @ | 0 | ((- 1 (cos x)) (* (* x x) 1/2) (* x x) x 1/2 (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) -1/24 (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (- 1 (cos x)) 1 (cos x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 882 |
| 0 | 170 | 824 |
| 1 | 793 | 819 |
| 0 | 8048 | 802 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal -1/24 binary64) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(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)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
#s(literal 1/720 binary64) |
(-.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)) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24)) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* -1/24 (pow x 4)))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* 1/720 (pow x 6)))) |
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5)))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))) |
| Outputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) x)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
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)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/576 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal 1/13824 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/576 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #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) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (fma.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)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal 1/13824 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/576 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) (fma.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)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x))))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x)) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
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#s(approx (+ (* -1/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
Compiled 6 131 to 2 377 computations (61.2% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 3 | 579 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 578 | 5 | 583 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.7% | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
| ▶ | 100.0% | #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.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))) |
| ▶ | 99.9% | #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
| ✓ | 100.0% | #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
| ▶ | 99.6% | #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) |
Compiled 58 to 54 computations (6.9% saved)
| Inputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) |
(*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/24 binary64) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.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))) |
(*.f64 (fma.f64 (fma.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)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) |
#s(literal 1/720 binary64) |
| Outputs |
|---|
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 -1/24)) |
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* -1/24 (pow x 4)))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/720 (pow x 6)))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) 1/2 x (- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 (- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) 1/720) |
| 1.0ms | x | @ | inf | ((- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) 1/2 x (- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 (- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) 1/720) |
| 1.0ms | x | @ | 0 | ((- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) 1/2 x (- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 (- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) 1/720) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 668 |
| 0 | 126 | 609 |
| 1 | 608 | 607 |
| 0 | 5357 | 599 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) |
(*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/24 binary64) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.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))) |
(*.f64 (fma.f64 (fma.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)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 -1/24)) |
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* -1/24 (pow x 4)))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/720 (pow x 6)))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))) |
| Outputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 x x) #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) |
(*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) |
(*.f64 x #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -12 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (+.f64 (/.f64 #s(literal -12 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 (*.f64 x x) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x) x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x))) |
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(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/518400 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/373248000 binary64) (/.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (fma.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) #s(literal 1/518400 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/518400 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/373248000 binary64) (/.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) #s(literal 1/518400 binary64))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/576 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)))) |
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))) |
(neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64))))) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(-.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64))) |
(-.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/720 binary64) x))) |
(-.f64 #s(literal -1/24 binary64) (neg.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64)))) (/.f64 #s(literal -1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64))))) |
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) |
(+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
#s(literal 1/720 binary64) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
#s(approx x x) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (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))) |
#s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) |
#s(approx (+ (* (* x x) 1/720) -1/24) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (*.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 (*.f64 x x) x))) |
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) |
#s(approx (+ (* -1/24 (* x x)) 1/2) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 x x))) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)) |
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (* x x) 1/720) -1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
#s(approx (+ (* (* x x) 1/720) -1/24) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) |
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
Compiled 4 234 to 1 505 computations (64.5% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 0 | 377 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 2 | 2 |
| Total | 377 | 5 | 382 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.7% | (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
| ✓ | 100.0% | #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.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))) |
| ✓ | 99.9% | #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
| ✓ | 100.0% | #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
| ✓ | 99.6% | #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) |
Compiled 111 to 94 computations (15.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.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))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| Outputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 2.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (cos.f64 x) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 100.0% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
3 calls:
| 3.0ms | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 2.0ms | x |
| 1.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (cos.f64 x) |
| 99.9% | 1 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 99.9% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 1.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (cos.f64 x) |
| 99.6% | 1 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 99.6% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 1.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (cos.f64 x) |
| 99.6% | 1 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 99.6% | 1 | x |
Compiled 7 to 7 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 1.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 1 | (cos.f64 x) |
| 52.7% | 1 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 52.7% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| 1× | done |
Compiled 39 to 31 computations (20.5% saved)
(abs x)
Compiled 155 to 144 computations (7.1% saved)
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