
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 3 |
| 87.5% | 43.7% | 6.2% | 50% | 0% | 0% | 0% | 4 |
| 93.8% | 46.8% | 3.1% | 50% | 0% | 0% | 0% | 5 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 6 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 7 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 8 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 9 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 10 |
| 99.9% | 49.9% | 0% | 50% | 0% | 0% | 0% | 11 |
| 100% | 49.9% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 2.3s | 5 846× | 2 | valid |
| 416.0ms | 2 353× | 1 | valid |
| 3.0ms | 57× | 0 | valid |
ival-sin: 1.7s (74% of total)adjust: 352.0ms (14.9% of total)ival-div!: 108.0ms (4.6% of total)ival-sub!: 85.0ms (3.6% of total)ival-tan: 69.0ms (2.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 91 | 1 | (-6.0617021882468775e-108) | 0 | - | (-.f64 x (sin.f64 x)) |
| 50 | 1 | (-4.694331322181724e-162) | 4 | (-6.0617021882468775e-108) | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 0 | 0 | - | 0 | - | (tan.f64 x) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 x (sin.f64 x)) | cancellation | 92 | 0 |
/.f64 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) | u/n | 47 | 0 |
| ↳ | (-.f64 x (sin.f64 x)) | underflow | 164 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 138 | 0 |
| - | 1 | 117 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 138 | 0 | 0 |
| - | 1 | 0 | 117 |
| number | freq |
|---|---|
| 0 | 117 |
| 1 | 139 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 195.0ms | 360× | 2 | valid |
| 16.0ms | 152× | 1 | valid |
Compiled 43 to 19 computations (55.8% saved)
ival-sin: 96.0ms (49.9% of total)adjust: 82.0ms (42.6% of total)ival-div!: 7.0ms (3.6% of total)ival-sub!: 4.0ms (2.1% of total)ival-tan: 4.0ms (2.1% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 28 | 23 |
| 2 | 62 | 22 |
| 3 | 111 | 22 |
| 4 | 208 | 22 |
| 5 | 453 | 22 |
| 6 | 1106 | 22 |
| 7 | 2689 | 22 |
| 8 | 6996 | 22 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.6% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(abs x)
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(tan.f64 x) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))))) |
#s(approx (- x (sin x)) #s(hole binary64 x)) |
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x)))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x)) |
| 1.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x)) |
| 1.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 409 |
| 0 | 143 | 400 |
| 1 | 735 | 386 |
| 0 | 6349 | 369 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(tan.f64 x) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))))) |
#s(approx (- x (sin x)) #s(hole binary64 x)) |
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x)))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1))))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x))) (*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) (+.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (tan.f64 x))) |
(/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (tan.f64 x))) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (tan.f64 x))) |
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x)))) |
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x)))) |
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(neg.f64 (neg.f64 (tan.f64 x))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) x)) |
(tan.f64 x) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- x (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- x (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx x x) |
#s(approx (sin x) x) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (sin x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (sin x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (tan x) x) |
#s(approx (tan x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (tan x) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (tan x) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x)) |
#s(approx (- x (sin x)) x) |
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (tan x) (tan.f64 x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x)) |
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)) |
Compiled 876 to 223 computations (74.5% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 5 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 53 | 5 | 58 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.0% | (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
| ▶ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
| ▶ | 99.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 98.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 196 to 128 computations (34.7% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) |
#s(literal -11/15120 binary64) |
(*.f64 x x) |
x |
#s(literal 23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -23/360 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) |
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) |
#s(literal -143/604800 binary64) |
#s(literal 11/15120 binary64) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(tan.f64 x) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360)) |
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360))) |
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360)) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120)))) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120)) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120))) |
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2)))) |
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))) |
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5)))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4)))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8)))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6)))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4)))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4)))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3)))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2)))) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (- x (sin x)) #s(hole binary64 x)) |
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x)))))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (* x x) x 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) -23/360 (/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x)) |
| 5.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (* x x) x 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) -23/360 (/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x)) |
| 3.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (* x x) x 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) -23/360 (/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 2401 |
| 0 | 355 | 2310 |
| 1 | 1327 | 2295 |
| 0 | 8819 | 2149 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) |
#s(literal -11/15120 binary64) |
(*.f64 x x) |
x |
#s(literal 23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal -23/360 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) |
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) |
#s(literal -143/604800 binary64) |
#s(literal 11/15120 binary64) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(tan.f64 x) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360)) |
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360))) |
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360)) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120)))) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120)) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120))) |
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2)))) |
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))) |
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5)))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4)))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8)))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)))) |
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6)))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4)))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4)))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3)))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2)))) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))) |
#s(approx (- x (sin x)) #s(hole binary64 x)) |
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x)))))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1))))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
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#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64)))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)))) |
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))) |
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64))) |
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x)) |
#s(approx (- (* -143/604800 (* x x)) 11/15120) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64)))) |
#s(approx (- x (sin x)) x) |
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)) |
#s(approx (tan x) (tan.f64 x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x)))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (neg.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)) |
Compiled 18 336 to 2 558 computations (86% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 629 | 13 | 642 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 632 | 15 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| 82.8% | (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x)) | |
| 83.0% | (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) | |
| 82.9% | (/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x)) | |
| ▶ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
| ▶ | 99.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
| 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| ▶ | 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x)) |
| 99.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| ✓ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 98.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 51.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) |
| ✓ | 98.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 15.9% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x))) | |
| 13.8% | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64))))) | |
| 28.0% | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 771 to 503 computations (34.8% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
(*.f64 x x) |
x |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x) |
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) |
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -23/360 x))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360)))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360)) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 1/6)) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x))) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2)))) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2)))) |
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* 1/6 x))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* 1/36 (pow x 2)))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4)))))) |
#s(approx (* (* 1/6 x) (* 1/6 x)) #s(hole binary64 (* 1/36 (pow x 2)))) |
#s(approx (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) #s(hole binary64 (* 529/129600 (pow x 6)))) |
#s(approx (* (pow x 3) -23/360) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* 1/6 x))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* x (+ 1/6 (* 23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -11/15120 (pow x 5)))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3)))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5)))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4)))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 -23/360)) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360))) |
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* -529/129600 (pow x 6)))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* 23/360 (pow x 3)))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* (pow x 3) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (/ (- x (sin x)) (tan x)) (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) (* (pow x 3) -23/360) (pow x 3) 3 (- (* 1/6 x) (* (pow x 3) -23/360))) |
| 6.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (/ (- x (sin x)) (tan x)) (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) (* (pow x 3) -23/360) (pow x 3) 3 (- (* 1/6 x) (* (pow x 3) -23/360))) |
| 6.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (/ (- x (sin x)) (tan x)) (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) (* (pow x 3) -23/360) (pow x 3) 3 (- (* 1/6 x) (* (pow x 3) -23/360))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 290 | 3013 |
| 0 | 338 | 2672 |
| 1 | 1067 | 2531 |
| 0 | 7410 | 2449 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
(*.f64 x x) |
x |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x) |
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) |
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -23/360 x))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360)))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360)) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 1/6)) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x))) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2)))) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2)))) |
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* 1/6 x))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* 1/36 (pow x 2)))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4)))))) |
#s(approx (* (* 1/6 x) (* 1/6 x)) #s(hole binary64 (* 1/36 (pow x 2)))) |
#s(approx (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) #s(hole binary64 (* 529/129600 (pow x 6)))) |
#s(approx (* (pow x 3) -23/360) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* 1/6 x))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* x (+ 1/6 (* 23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -11/15120 (pow x 5)))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3)))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5)))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4)))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 -23/360)) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360))) |
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* -529/129600 (pow x 6)))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* 23/360 (pow x 3)))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* (pow x 3) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) x) (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))) |
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#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x)) |
#s(approx (* (* 1/6 x) (* 1/6 x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) |
#s(approx (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64))) |
#s(approx (* (pow x 3) -23/360) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))) |
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 23/360 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x)) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(literal -23/360 binary64)) |
#s(approx (+ (* (pow x -2) 1/6) -23/360) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -529/129600 binary64))) |
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 23/360 binary64))) |
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x)) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64)))) |
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64)))) |
Compiled 34 970 to 4 336 computations (87.6% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 006 | 5 | 1 011 |
| Fresh | 3 | 5 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 011 | 15 | 1 026 |
| Status | Accuracy | Program |
|---|---|---|
| 82.8% | (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x)) | |
| ▶ | 82.9% | (/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x)) |
| ▶ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) |
| ✓ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
| ✓ | 99.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
| ▶ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
| 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))) x)) | |
| 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x)) | |
| ▶ | 99.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 98.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 51.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) |
| 51.2% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) | |
| ✓ | 98.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 28.0% | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 630 to 421 computations (33.2% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
(*.f64 x x) |
x |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x) |
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) |
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 x)) |
#s(literal 1 binary64) |
(neg.f64 x) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
(tan.f64 x) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -529/129600 binary64) |
#s(literal 1/36 binary64) |
(fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)) |
#s(literal 23/360 binary64) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360)) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 1/6)) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x))) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2)))) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2)))) |
#s(approx (/ (/ 1 (neg x)) (neg x)) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))) |
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* 1/36 (pow x 2)))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4)))))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* 1/36 x))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* x (+ 1/36 (* -529/129600 (pow x 4)))))) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 1/36)) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (+ 1/36 (* -529/129600 (pow x 4))))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (+ 1/6 (* 23/360 (pow x 2))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5)))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 -23/360)) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360))) |
#s(approx (- x (sin x)) #s(hole binary64 x)) |
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x)))))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* -529/129600 (pow x 6)))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* -529/129600 (pow x 5)))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (* -529/129600 (pow x 4)))) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))) |
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (* 23/360 (pow x 2)))) |
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1))))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) 1 (neg x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (* (+ (* (pow x 4) -529/129600) 1/36) x) (+ (* (pow x 4) -529/129600) 1/36) (pow x 4) 4 -529/129600 1/36 (+ (* (* x x) 23/360) 1/6) 23/360) |
| 5.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) 1 (neg x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (* (+ (* (pow x 4) -529/129600) 1/36) x) (+ (* (pow x 4) -529/129600) 1/36) (pow x 4) 4 -529/129600 1/36 (+ (* (* x x) 23/360) 1/6) 23/360) |
| 4.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) 1 (neg x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (* (+ (* (pow x 4) -529/129600) 1/36) x) (+ (* (pow x 4) -529/129600) 1/36) (pow x 4) 4 -529/129600 1/36 (+ (* (* x x) 23/360) 1/6) 23/360) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 331 | 2324 |
| 0 | 382 | 2131 |
| 1 | 1351 | 2099 |
| 0 | 8757 | 2075 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
(*.f64 x x) |
x |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x) |
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) |
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 x)) |
#s(literal 1 binary64) |
(neg.f64 x) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x)) |
#s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
(tan.f64 x) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -529/129600 binary64) |
#s(literal 1/36 binary64) |
(fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)) |
#s(literal 23/360 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360)) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 1/6)) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2))))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x))) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2)))) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2)))) |
#s(approx (/ (/ 1 (neg x)) (neg x)) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))) |
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* 1/36 (pow x 2)))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4)))))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* 1/36 x))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* x (+ 1/36 (* -529/129600 (pow x 4)))))) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 1/36)) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (+ 1/36 (* -529/129600 (pow x 4))))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (+ 1/6 (* 23/360 (pow x 2))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x)))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6)))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5)))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2)))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2)))) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 -23/360)) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360))) |
#s(approx (- x (sin x)) #s(hole binary64 x)) |
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x)))))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* -23/360 (pow x 4)))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* -529/129600 (pow x 6)))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* -529/129600 (pow x 5)))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (* -529/129600 (pow x 4)))) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))) |
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (* 23/360 (pow x 2)))) |
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2)))))))) |
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1))))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
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#s(approx (- x (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/362880 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (* x x) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (tan x) x) |
#s(approx (tan x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (tan x) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (tan x) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x)) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) (*.f64 #s(literal 1/36 binary64) x)) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x)) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(literal 1/36 binary64)) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64))) |
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* (* x x) 23/360) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* (* x x) 23/360) 1/6) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x)) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) |
#s(approx (+ (* (* x x) -11/15120) -23/360) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))) |
#s(approx (+ (* (* x x) -23/360) 1/6) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
#s(approx (+ (* (* x x) -23/360) 1/6) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (*.f64 x x))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) |
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))) |
#s(approx (+ (* (* x x) -23/360) 1/6) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
#s(approx (+ (* (* x x) -23/360) 1/6) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (*.f64 x x))) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (*.f64 x x))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(literal -23/360 binary64)) |
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))) |
#s(approx (- x (sin x)) x) |
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)) |
#s(approx (tan x) (tan.f64 x)) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) |
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -529/129600 binary64))) |
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -529/129600 binary64)))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -529/129600 binary64))) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64))) |
#s(approx (+ (* (pow x 4) -529/129600) 1/36) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* x x) 23/360) 1/6) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))) |
#s(approx (+ (* (* x x) 23/360) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 23/360 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (neg.f64 x))) |
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (neg.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (*.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (neg.f64 x))) |
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)) |
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) (*.f64 (neg.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64)))) (pow.f64 x #s(literal 5 binary64)))) |
Compiled 21 754 to 3 259 computations (85% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 758 | 5 | 763 |
| Fresh | 4 | 1 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 765 | 13 | 778 |
| Status | Accuracy | Program |
|---|---|---|
| 82.8% | (/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x)) | |
| 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 #s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) | |
| 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) | |
| ✓ | 99.7% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
| ✓ | 99.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
| ✓ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
| ✓ | 99.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))) | |
| ✓ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 98.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| 51.2% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) | |
| ✓ | 98.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))))) |
Compiled 1 069 to 405 computations (62.1% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 #s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x)) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)) |
2 calls:
| 7.0ms | x |
| 5.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.8% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 #s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
2 calls:
| 4.0ms | x |
| 2.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.8% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.5% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 98.4% | 1 | x |
Compiled 8 to 6 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 98.4% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| 1× | fuel |
Compiled 106 to 37 computations (65.1% saved)
(abs x)
Compiled 448 to 228 computations (49.1% saved)
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