
Time bar (total: 10.8s)
| 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)
| 2.9s | 5 820× | 2 | valid |
| 453.0ms | 2 372× | 1 | valid |
| 4.0ms | 64× | 0 | valid |
ival-sin: 2.1s (70.6% of total)adjust: 444.0ms (14.6% of total)ival-div: 170.0ms (5.6% of total)ival-sub: 124.0ms (4.1% of total)ival-<=: 66.0ms (2.2% of total)ival-tan: 64.0ms (2.1% of total)ival-and: 13.0ms (0.4% of total)exact: 11.0ms (0.4% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 76 | 0 | - | 0 | - | (-.f64 x (sin.f64 x)) |
| 48 | 1 | (-1.4807685640991536e-161) | 1 | (-2.3978012140659466e-104) | (/.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 | 76 | 0 |
/.f64 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) | u/n | 48 | 0 |
| ↳ | (-.f64 x (sin.f64 x)) | underflow | 179 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 123 | 0 |
| - | 1 | 132 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 123 | 0 | 0 |
| - | 1 | 0 | 132 |
| number | freq |
|---|---|
| 0 | 132 |
| 1 | 124 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 163.0ms | 378× | 2 | valid |
| 17.0ms | 130× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 43 to 19 computations (55.8% saved)
ival-sin: 105.0ms (69.2% of total)adjust: 25.0ms (16.5% of total)ival-div: 9.0ms (5.9% of total)ival-sub: 7.0ms (4.6% of total)ival-tan: 4.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 21 | 19 |
| 2 | 52 | 19 |
| 3 | 96 | 19 |
| 4 | 174 | 19 |
| 5 | 392 | 19 |
| 6 | 997 | 19 |
| 7 | 2399 | 19 |
| 8 | 6439 | 19 |
| 0 | 5 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 18 | 7 |
| 3 | 23 | 7 |
| 4 | 32 | 7 |
| 5 | 54 | 7 |
| 6 | 104 | 7 |
| 7 | 227 | 7 |
| 8 | 618 | 7 |
| 9 | 1853 | 7 |
| 10 | 4816 | 7 |
| 0 | 8080 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 7 to 5 computations (28.6% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (-.f64 x (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 9 | 16 |
| 1 | 15 | 16 |
| 2 | 18 | 16 |
| 3 | 23 | 16 |
| 4 | 32 | 16 |
| 5 | 54 | 16 |
| 6 | 104 | 16 |
| 7 | 227 | 16 |
| 8 | 618 | 16 |
| 9 | 1853 | 16 |
| 10 | 4816 | 16 |
| 0 | 8080 | 16 |
| 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) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(tan.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (tan.f64 x) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 10.172167342626594 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) | |
| accuracy | 17.23052391202958 | (-.f64 x (sin.f64 x)) |
| 84.0ms | 189× | 2 | valid |
| 8.0ms | 65× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-sin: 61.0ms (74.3% of total)adjust: 11.0ms (13.4% of total)ival-div: 5.0ms (6.1% of total)ival-sub: 4.0ms (4.9% of total)ival-tan: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
(sin.f64 x) |
(tan.f64 x) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(sin x) |
(/ (sin x) (cos x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x)) |
| 1.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x)) |
| 1.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 261 |
| 1 | 342 | 247 |
| 2 | 1118 | 245 |
| 3 | 3866 | 231 |
| 0 | 8771 | 210 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(sin x) |
(/ (sin x) (cos x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.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) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64))) |
(* 1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #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))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(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) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(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) |
(/ (* x (cos x)) (sin x)) |
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(-.f64 x (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(-.f64 x (sin.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 9 | 15 |
| 1 | 33 | 15 |
| 2 | 228 | 15 |
| 3 | 2193 | 15 |
| 0 | 8990 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
(sin.f64 x) |
(tan.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) |
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) |
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x)) |
(*.f64 (/.f64 (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) |
(*.f64 (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) (tan.f64 x)))) |
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) |
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) (*.f64 (sin.f64 x) (neg.f64 (neg.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x))) |
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) (*.f64 (sin.f64 x) x)) (*.f64 (tan.f64 x) (sin.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 x) (*.f64 (tan.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (neg.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (tan.f64 x) (*.f64 (tan.f64 x) x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 x (cos.f64 x)))) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))) |
(/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (tan.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x))) |
(/.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (*.f64 (tan.f64 x) (neg.f64 (neg.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (*.f64 (tan.f64 x) x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (tan.f64 x) (*.f64 (sin.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))) (*.f64 (tan.f64 x) (sin.f64 x))) |
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (tan.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (tan.f64 x) (sin.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (sin.f64 x) (*.f64 (tan.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (tan.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))) |
(/.f64 (fma.f64 (neg.f64 x) (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (neg.f64 (sin.f64 x))))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))) |
(/.f64 (fma.f64 (sin.f64 x) x (*.f64 (tan.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x))) |
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(/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (-.f64 x (sin.f64 x))) |
(neg.f64 (-.f64 x (sin.f64 x))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))) x) |
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) x) |
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) x) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x)))) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64))) (-.f64 x (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)))) |
(fma.f64 x (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)))) |
(-.f64 x (sin.f64 x)) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)))) |
(+.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) |
(+.f64 (sin.f64 x) x) |
(+.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x))))) |
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 #s(literal 2 binary64))) |
(sin.f64 x) |
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 x)))) |
(fabs.f64 (neg.f64 (sin.f64 x))) |
(fabs.f64 (sin.f64 x)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 0 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x))))))) |
(/.f64 (sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) (neg.f64 (cos.f64 x))) |
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) |
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(neg.f64 (neg.f64 (tan.f64 x))) |
(tan.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))) |
(tan.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)))) |
(tan.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))) |
(tan.f64 (+.f64 (PI.f64) (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 (neg.f64 x)))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
(tan.f64 (+.f64 (PI.f64) (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) |
(tan.f64 (+.f64 (PI.f64) (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) x))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) x)) |
(tan.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))) (+.f64 (PI.f64) (PI.f64)))) |
(tan.f64 (+.f64 (neg.f64 (neg.f64 x)) (+.f64 (PI.f64) (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) (PI.f64)))) |
(tan.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (neg.f64 (neg.f64 x)))) |
(tan.f64 (+.f64 (neg.f64 (neg.f64 x)) (PI.f64))) |
(tan.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) |
(tan.f64 (neg.f64 (neg.f64 x))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) x)) |
(tan.f64 x) |
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))) |
Compiled 4 384 to 746 computations (83% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 218 | 8 | 226 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 218 | 9 | 227 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.2% | (/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
| 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) x))) | |
| ▶ | 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) |
| ✓ | 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 83.2% | (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x)) | |
| ▶ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
| ▶ | 99.5% | #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)) |
| 99.4% | #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)) | |
| ▶ | 98.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 281 to 189 computations (32.7% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 x (cos.f64 x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 6 | (/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (-.f64 x (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) | |
| cost-diff | 2 | (tan.f64 (+.f64 (PI.f64) x)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (-.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)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 302 |
| 0 | 74 | 298 |
| 1 | 137 | 298 |
| 2 | 342 | 297 |
| 3 | 1076 | 292 |
| 4 | 3456 | 292 |
| 0 | 8295 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 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) |
(*.f64 x x) |
#s(literal 11/15120 binary64) |
#s(literal 23/360 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/6 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)) |
(*.f64 x x) |
x |
#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)) |
(*.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) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(tan.f64 (+.f64 (PI.f64) x)) |
(+.f64 (PI.f64) x) |
(PI.f64) |
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
(fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 x (cos.f64 x)) |
x |
(cos.f64 x) |
(neg.f64 (tan.f64 x)) |
(tan.f64 x) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 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 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #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 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #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 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) |
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
#s(literal -143/604800 binary64) |
(*.f64 x x) |
#s(literal 11/15120 binary64) |
#s(literal 23/360 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#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)) |
(*.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) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(-.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(tan.f64 (+.f64 (PI.f64) x)) |
(tan.f64 x) |
(+.f64 (PI.f64) x) |
(PI.f64) |
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (/.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
(fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 x (cos.f64 x)) |
(*.f64 (cos.f64 x) x) |
x |
(cos.f64 x) |
(neg.f64 (tan.f64 x)) |
(tan.f64 x) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) |
(*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) | |
| accuracy | 0.015625 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| accuracy | 25.725569393188625 | (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) | |
| accuracy | 46.97993199701924 | (/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) | |
| accuracy | 0.01953125 | (+.f64 (PI.f64) x) | |
| accuracy | 10.172167342626594 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) | |
| accuracy | 17.23052391202958 | (-.f64 x (sin.f64 x)) | |
| accuracy | 59.61218234124053 | (tan.f64 (+.f64 (PI.f64) x)) | |
| accuracy | 0.09375 | (*.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) | |
| accuracy | 0.12109375 | (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) | |
| accuracy | 0.1546798744720595 | #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)) | |
| accuracy | 0.32421875 | (*.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) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.6113877764528862 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.125 | (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) | |
| accuracy | 0.13093221586101422 | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.1953125 | (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) |
| 770.0ms | 189× | 2 | valid |
| 94.0ms | 65× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 264 to 42 computations (84.1% saved)
ival-tan: 486.0ms (59.7% of total)ival-mult: 102.0ms (12.5% of total)adjust: 73.0ms (9% of total)ival-sin: 49.0ms (6% of total)ival-cos: 26.0ms (3.2% of total)const: 25.0ms (3.1% of total)ival-div: 14.0ms (1.7% of total)ival-sub: 11.0ms (1.4% of total)ival-add: 11.0ms (1.4% of total)ival-pow2: 7.0ms (0.9% of total)ival-pow: 4.0ms (0.5% of total)ival-neg: 3.0ms (0.4% of total)ival-pi: 2.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 4 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)) |
#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)) |
(*.f64 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)) |
(*.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)) |
(tan.f64 (+.f64 (PI.f64) x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) |
(-.f64 x (sin.f64 x)) |
(sin.f64 x) |
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
(fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) |
(+.f64 (PI.f64) x) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 4) |
-23/360 |
(- (* -11/15120 (pow x 2)) 23/360) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(pow x 2) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(/ (sin (PI)) (cos (PI))) |
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))) |
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))) |
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))) |
(* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI)))) |
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI)))))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* -1/6 (pow x 4)) |
(* (pow x 4) (- (* 13/360 (pow x 2)) 1/6)) |
(* (pow x 4) (- (* (pow x 2) (+ 13/360 (* -1/336 (pow x 2)))) 1/6)) |
(* (pow x 4) (- (* (pow x 2) (+ 13/360 (* (pow x 2) (- (* 251/1814400 (pow x 2)) 1/336)))) 1/6)) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* -11/15120 x) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* -11/15120 (pow x 2)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(PI) |
(+ x (PI)) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1/6 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 5)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(/ (sin (+ x (PI))) (cos (+ x (PI)))) |
(/ (* x (cos (+ x (PI)))) (sin (+ x (PI)))) |
(* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI)))))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(sin x) |
(* -1 (* x (sin x))) |
(* x (+ (* -1 (sin x)) (/ (pow (sin x) 2) x))) |
(* x (cos x)) |
(cos x) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* x (+ 1 (/ (PI) x))) |
(pow (sin x) 2) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))) |
(/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x)))) |
(* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x)))))))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (+ (sin x) (* -1 (/ (pow (sin x) 2) x))))) |
(* -1 (* x (- (* -1 (/ (PI) x)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- 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) (tan (+ (PI) x)) (/ (- x (sin x)) (tan (+ (PI) x))) (- x (sin x)) (sin x) (/ (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (* (sin x) (neg (tan x)))) (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (* x (cos x)) (cos x) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -11/15120 (* x x)) (+ (PI) x) (pow (sin x) 2) (* (sin x) (neg (tan x)))) |
| 9.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- 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) (tan (+ (PI) x)) (/ (- x (sin x)) (tan (+ (PI) x))) (- x (sin x)) (sin x) (/ (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (* (sin x) (neg (tan x)))) (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (* x (cos x)) (cos x) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -11/15120 (* x x)) (+ (PI) x) (pow (sin x) 2) (* (sin x) (neg (tan x)))) |
| 7.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- 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) (tan (+ (PI) x)) (/ (- x (sin x)) (tan (+ (PI) x))) (- x (sin x)) (sin x) (/ (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (* (sin x) (neg (tan x)))) (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (* x (cos x)) (cos x) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* -11/15120 (* x x)) (+ (PI) x) (pow (sin x) 2) (* (sin x) (neg (tan x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 953 |
| 1 | 1234 | 932 |
| 2 | 4816 | 902 |
| 0 | 8447 | 846 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 4) |
-23/360 |
(- (* -11/15120 (pow x 2)) 23/360) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(pow x 2) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(/ (sin (PI)) (cos (PI))) |
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))) |
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))) |
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))) |
(* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI)))) |
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI)))))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* -1/6 (pow x 4)) |
(* (pow x 4) (- (* 13/360 (pow x 2)) 1/6)) |
(* (pow x 4) (- (* (pow x 2) (+ 13/360 (* -1/336 (pow x 2)))) 1/6)) |
(* (pow x 4) (- (* (pow x 2) (+ 13/360 (* (pow x 2) (- (* 251/1814400 (pow x 2)) 1/336)))) 1/6)) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* -11/15120 x) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* -11/15120 (pow x 2)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(PI) |
(+ x (PI)) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1/6 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 5)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(/ (sin (+ x (PI))) (cos (+ x (PI)))) |
(/ (* x (cos (+ x (PI)))) (sin (+ x (PI)))) |
(* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI)))))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(sin x) |
(* -1 (* x (sin x))) |
(* x (+ (* -1 (sin x)) (/ (pow (sin x) 2) x))) |
(* x (cos x)) |
(cos x) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* x (+ 1 (/ (PI) x))) |
(pow (sin x) 2) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))) |
(/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x)))) |
(* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x)))))))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (+ (sin x) (* -1 (/ (pow (sin x) 2) x))))) |
(* -1 (* x (- (* -1 (/ (PI) x)) 1))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
-23/360 |
#s(literal -23/360 binary64) |
(- (* -11/15120 (pow x 2)) 23/360) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(/ (sin (PI)) (cos (PI))) |
#s(literal 0 binary64) |
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))) |
x |
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))) |
x |
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI)))) |
#s(literal 0 binary64) |
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI)))))) |
#s(literal 0 binary64) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
#s(literal 0 binary64) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
#s(literal 0 binary64) |
(* 1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #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))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* -1/6 (pow x 4)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 13/360 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 13/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* (pow x 2) (+ 13/360 (* -1/336 (pow x 2)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/336 binary64) (*.f64 x x) #s(literal 13/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* (pow x 2) (+ 13/360 (* (pow x 2) (- (* 251/1814400 (pow x 2)) 1/336)))) 1/6)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 251/1814400 binary64) (*.f64 x x)) #s(literal 1/336 binary64)) (*.f64 x x) #s(literal 13/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* -11/15120 x) |
(*.f64 #s(literal -11/15120 binary64) x) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) |
(* -11/15120 (pow x 2)) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x) |
(PI) |
(PI.f64) |
(+ x (PI)) |
(+.f64 (PI.f64) x) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2/45 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1/6 (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -173/5040 binary64) (*.f64 x x)) #s(literal 31/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x) |
(/ (* x (cos x)) (sin x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x) |
(* -143/604800 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64))) |
(* -143/604800 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -11/15120 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* -11/15120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))) |
(* -11/15120 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (sin (+ x (PI))) (cos (+ x (PI)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/ (* x (cos (+ x (PI)))) (sin (+ x (PI)))) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI)))))) |
(*.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (cos.f64 x) x) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))) x) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(sin x) |
(sin.f64 x) |
(* -1 (* x (sin x))) |
(*.f64 (neg.f64 x) (sin.f64 x)) |
(* x (+ (* -1 (sin x)) (/ (pow (sin x) 2) x))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x)) x) |
(* x (cos x)) |
(*.f64 (cos.f64 x) x) |
(cos x) |
(cos.f64 x) |
(* -143/604800 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (+ 1 (/ (PI) x))) |
(fma.f64 (/.f64 (PI.f64) x) x x) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x)))) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x)))))))) |
(*.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (cos.f64 x) x) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))) x) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x) |
(* -1 (* x (+ (sin x) (* -1 (/ (pow (sin x) 2) x))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (PI) x)) 1))) |
(fma.f64 (/.f64 (PI.f64) x) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 249 |
| 0 | 74 | 245 |
| 1 | 274 | 245 |
| 0 | 1929 | 245 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 4 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)) |
#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)) |
(*.f64 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)) |
(*.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)) |
(tan.f64 (+.f64 (PI.f64) x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) |
(-.f64 x (sin.f64 x)) |
(sin.f64 x) |
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
(fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 x (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) |
(+.f64 (PI.f64) x) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
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(fma.f64 x (/.f64 (*.f64 (neg.f64 (tan.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))) (/.f64 (*.f64 (tan.f64 x) (*.f64 (cos.f64 x) x)) (*.f64 (tan.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (cos.f64 x) x)) (*.f64 (tan.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x))) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x))) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 (tan.f64 x)) x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (tan.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x))) |
(fma.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x))) |
(fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (cos.f64 x)) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x))) |
(fma.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (cos.f64 x) x) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fma.f64 (cos.f64 x) (*.f64 x (neg.f64 (tan.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x))) |
(fma.f64 x (*.f64 (neg.f64 (tan.f64 x)) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (tan.f64 x))) (*.f64 (cos.f64 x) x))) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (neg.f64 (tan.f64 x)))) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (cos.f64 x)))) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x))) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x))) (pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (cos.f64 x) x))) |
(*.f64 (cos.f64 x) x) |
(*.f64 x (cos.f64 x)) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 3 binary64)) #s(literal 1331/3456649728000 binary64)) x) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 3 binary64)) #s(literal 1331/3456649728000 binary64))) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) |
(*.f64 x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 3 binary64)) #s(literal 1331/3456649728000 binary64)) (*.f64 x x)) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))) |
(*.f64 (*.f64 #s(literal -11/15120 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal -11/15120 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal -11/15120 binary64) x) x) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -11/15120 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -11/15120 binary64))) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(*.f64 x (*.f64 #s(literal -11/15120 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))) (-.f64 x (PI.f64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (PI.f64) x) (-.f64 (PI.f64) x))) (neg.f64 (-.f64 (PI.f64) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (*.f64 (+.f64 (PI.f64) x) (-.f64 (PI.f64) x)) (-.f64 (PI.f64) x)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) x)) (/.f64 (*.f64 x x) (-.f64 (PI.f64) x))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))) |
(+.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) |
(+.f64 (PI.f64) x) |
(+.f64 x (PI.f64)) |
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) |
(*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) |
(neg.f64 (*.f64 (tan.f64 x) (sin.f64 x))) |
Compiled 12 706 to 1 743 computations (86.3% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 12 | 438 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 430 | 17 | 447 |
| Status | Accuracy | Program |
|---|---|---|
| 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) x))) | |
| ✓ | 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) |
| ✓ | 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 6.0% | (/.f64 #s(approx (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x)) x)) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) | |
| ▶ | 55.5% | #s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
| ▶ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
| 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)))) | |
| 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64))))) | |
| 99.6% | #s(approx (/ (- x (sin x)) (tan 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)) (*.f64 x x))) | |
| ▶ | 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
| 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)))) x)) | |
| 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 99.4% | #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)) | |
| 98.8% | #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)) | |
| ✓ | 98.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ▶ | 13.0% | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) |
Compiled 911 to 529 computations (41.9% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) | |
| cost-diff | 1 | (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 557 |
| 0 | 94 | 555 |
| 1 | 157 | 555 |
| 2 | 351 | 555 |
| 3 | 1168 | 540 |
| 4 | 3220 | 539 |
| 5 | 7334 | 539 |
| 0 | 8348 | 539 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
#s(literal -143/604800 binary64) |
#s(literal 11/15120 binary64) |
#s(literal 23/360 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.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 (fma.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 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
#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 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) |
(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) |
(-.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 2 binary64) |
#s(literal 1/36 binary64) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 11/15120 binary64) |
(/.f64 #s(literal 23/360 binary64) (*.f64 x x)) |
#s(literal 23/360 binary64) |
(*.f64 x x) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 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))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 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 x x) |
x |
#s(literal 1/6 binary64) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 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 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 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 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) |
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) |
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) |
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) |
#s(literal -143/604800 binary64) |
#s(literal 11/15120 binary64) |
#s(literal 23/360 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.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 (+ (PI) x))) (*.f64 (*.f64 (fma.f64 (fma.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 (fma.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 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
#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 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) |
(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) |
(*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) |
(-.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 2 binary64) |
#s(literal 1/36 binary64) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 11/15120 binary64) |
(/.f64 #s(literal 23/360 binary64) (*.f64 x x)) |
#s(literal 23/360 binary64) |
(*.f64 x x) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1546798744720595 | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) | |
| accuracy | 0.23894501953688402 | (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) | |
| accuracy | 27.304687500000004 | (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) | |
| accuracy | 54.63931789975568 | (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) | |
| accuracy | 0.1546798744720595 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) | |
| accuracy | 0.38671875 | (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) | |
| accuracy | 0.45150375976844204 | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) | |
| accuracy | 0.5 | (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) | |
| accuracy | 0.09375 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.1546798744720595 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| accuracy | 0.32421875 | (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 28.49256539842754 | #s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) | |
| accuracy | 0.125 | (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) | |
| accuracy | 0.13093221586101422 | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 0.1484375 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0.1953125 | (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) |
| 921.0ms | 189× | 2 | valid |
| 86.0ms | 65× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 438 to 57 computations (87% saved)
ival-tan: 493.0ms (52.1% of total)adjust: 147.0ms (15.5% of total)ival-mult: 66.0ms (7% of total)ival-sub: 55.0ms (5.8% of total)ival-pi: 49.0ms (5.2% of total)ival-sin: 49.0ms (5.2% of total)const: 37.0ms (3.9% of total)ival-div: 19.0ms (2% of total)ival-pow: 12.0ms (1.3% of total)ival-add: 12.0ms (1.3% of total)ival-pow2: 5.0ms (0.5% of total)exact: 1.0ms (0.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 x x) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.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 (fma.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 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) |
(/.f64 #s(literal 23/360 binary64) (*.f64 x x)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 2) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI)))) |
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI)))))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(/ 1/6 (pow x 4)) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4)) |
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4)) |
(* -11/15120 x) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* -11/15120 (pow x 2)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
-23/360 |
(- (* -11/15120 (pow x 2)) 23/360) |
(* -1/36 x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(* x (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36)) |
(* x (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36)) |
(/ 23/360 (pow x 2)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(/ (* x (cos (+ x (PI)))) (sin (+ x (PI)))) |
(* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI)))))) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 5)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 3)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
-11/15120 |
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* 121/228614400 (pow x 9)) |
(* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(* (pow x 9) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8))))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x)))) |
(* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x)))))))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))) |
(* -1 (* (pow x 9) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4))) (* x x) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (/ (- x (sin x)) (tan (+ (PI) x))) (/ (- 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) x) (/ (- x (sin x)) (tan x)) (* (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) x) (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (pow x 6)) (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (* (- (* (* x x) -143/604800) 11/15120) x) (* (* (- (* (* x x) -143/604800) 11/15120) x) x) (+ (* -11/15120 (* x x)) -23/360) (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (/ 23/360 (* x x))) |
| 4.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4))) (* x x) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (/ (- x (sin x)) (tan (+ (PI) x))) (/ (- 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) x) (/ (- x (sin x)) (tan x)) (* (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) x) (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (pow x 6)) (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (* (- (* (* x x) -143/604800) 11/15120) x) (* (* (- (* (* x x) -143/604800) 11/15120) x) x) (+ (* -11/15120 (* x x)) -23/360) (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (/ 23/360 (* x x))) |
| 3.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4))) (* x x) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (/ (- x (sin x)) (tan (+ (PI) x))) (/ (- 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) x) (/ (- x (sin x)) (tan x)) (* (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) x) (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (pow x 6)) (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (* (- (* (* x x) -143/604800) 11/15120) x) (* (* (- (* (* x x) -143/604800) 11/15120) x) x) (+ (* -11/15120 (* x x)) -23/360) (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (/ 23/360 (* x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 834 |
| 1 | 917 | 795 |
| 2 | 3721 | 757 |
| 0 | 8467 | 721 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 2) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI)))) |
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI)))))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(/ 1/6 (pow x 4)) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4)) |
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4)) |
(* -11/15120 x) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* -11/15120 (pow x 2)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
-23/360 |
(- (* -11/15120 (pow x 2)) 23/360) |
(* -1/36 x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(* x (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36)) |
(* x (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36)) |
(/ 23/360 (pow x 2)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(/ (* x (cos (+ x (PI)))) (sin (+ x (PI)))) |
(* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI)))))) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 5)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 3)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
-11/15120 |
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* 121/228614400 (pow x 9)) |
(* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(* (pow x 9) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8))))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x)))) |
(* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x)))))))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))) |
(* -1 (* (pow x 9) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.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) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* -23/360 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) |
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) |
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) |
(* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI)))) |
(*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI)))))) |
(*.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)) x #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.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) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(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)) |
(* -23/360 x) |
(*.f64 #s(literal -23/360 binary64) x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4)) |
(/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4)) |
(/.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)) (pow.f64 x #s(literal 4 binary64))) |
(* -11/15120 x) |
(*.f64 #s(literal -11/15120 binary64) x) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x) |
-23/360 |
#s(literal -23/360 binary64) |
(- (* -11/15120 (pow x 2)) 23/360) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
(* -1/36 x) |
(*.f64 #s(literal -1/36 binary64) x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(* x (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 253/2721600 binary64) (*.f64 x x) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(* x (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 121/228614400 binary64) (*.f64 x x) #s(literal 253/2721600 binary64)) (*.f64 x x) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(/ 23/360 (pow x 2)) |
(/.f64 #s(literal 23/360 binary64) (*.f64 x x)) |
(/ (* x (cos x)) (sin x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x) |
(* -143/604800 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64))) |
(/ (* x (cos (+ x (PI)))) (sin (+ x (PI)))) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))) x) |
(* -11/15120 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* -11/15120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))) |
(* -11/15120 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* -11/15120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) |
(* -143/604800 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) |
(* -143/604800 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x)) |
(* 121/228614400 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 121/228614400 binary64)) |
(* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x)) #s(literal 121/228614400 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (/.f64 #s(literal -253/2721600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (/.f64 #s(literal -253/2721600 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x) |
(/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x)))) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x)))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))) x) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -529/129600 binary64) (*.f64 x x)) #s(literal -253/2721600 binary64)) x) x) #s(literal 121/228614400 binary64))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 9 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 121/228614400 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 529/129600 binary64) (*.f64 x x)) #s(literal -253/2721600 binary64)) x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 415 |
| 0 | 94 | 413 |
| 1 | 368 | 365 |
| 0 | 2625 | 359 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 x x) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.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 (fma.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 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) |
(/.f64 #s(literal 23/360 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 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 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 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))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 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 #s(literal 1/6 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (pow.f64 (*.f64 (neg.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))) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 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))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (neg.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))) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 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))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 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 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 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))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 4 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 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 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))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 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))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 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))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 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))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 4 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 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 (*.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)) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (neg.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)))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 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)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (neg.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)))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 4 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)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (neg.f64 (neg.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)))) (pow.f64 x #s(literal 4 binary64)))) |
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(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))) |
(*.f64 x (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64)) (*.f64 x x)) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)) (*.f64 x x)) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))) |
(/.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -23/360 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64))) (neg.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))) |
(/.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -23/360 binary64))) |
(/.f64 (fma.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64)) (+.f64 #s(literal 529/129600 binary64) (-.f64 (*.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))) |
(/.f64 (fma.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64)) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))) |
(fma.f64 (*.f64 #s(literal -11/15120 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -23/360 binary64)) |
(fma.f64 (*.f64 #s(literal -11/15120 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -23/360 binary64)) |
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
(fma.f64 x (*.f64 #s(literal -11/15120 binary64) x) #s(literal -23/360 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -23/360 binary64)))) |
(-.f64 #s(literal -23/360 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -11/15120 binary64) x)) x)) |
(-.f64 #s(literal -23/360 binary64) (*.f64 #s(literal 11/15120 binary64) (*.f64 x x))) |
(-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -11/15120 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))) (/.f64 #s(literal -12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))) |
(+.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -23/360 binary64)) |
(+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(*.f64 x (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 4 binary64)) #s(literal 1/1296 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64))) (fma.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) x) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 4 binary64)))) |
(/.f64 (/.f64 #s(literal 23/360 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 23/360 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 23/360 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 23/360 binary64) x) x) |
(/.f64 #s(literal -23/360 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 23/360 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 (neg.f64 x) x))) |
Compiled 15 667 to 2 028 computations (87.1% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 392 | 7 | 399 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 399 | 17 | 416 |
| Status | Accuracy | Program |
|---|---|---|
| 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) x))) | |
| ✓ | 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) |
| ✓ | 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 6.0% | (/.f64 #s(approx (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x)) x)) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) | |
| ✓ | 55.5% | #s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
| ▶ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
| 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))) | |
| 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)))) | |
| ▶ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
| 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)))) x)) | |
| ▶ | 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
| 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| ▶ | 98.8% | #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)) |
| ✓ | 98.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ▶ | 12.3% | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))) |
Compiled 907 to 558 computations (38.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) | |
| cost-diff | 1 | (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) | |
| cost-diff | 0 | (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 644 |
| 0 | 102 | 644 |
| 1 | 172 | 644 |
| 2 | 419 | 644 |
| 3 | 1623 | 617 |
| 4 | 4758 | 617 |
| 0 | 8708 | 617 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) |
#s(literal -143/604800 binary64) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 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(literal 1/6 binary64) |
x |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
#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 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
(*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) |
(/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) |
#s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) |
(*.f64 #s(literal -1/36 binary64) x) |
#s(literal -1/36 binary64) |
x |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) |
(-.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) |
#s(literal 23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
#s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))) |
#s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) |
#s(literal -143/604800 binary64) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 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(literal 1/6 binary64) |
x |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 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 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x (fma.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
#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 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)))) |
(*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) |
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x))) |
(/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) |
(/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) |
#s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) |
(*.f64 #s(literal -1/36 binary64) x) |
#s(literal -1/36 binary64) |
x |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) |
(-.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) |
#s(literal 23/360 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/6 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.1546798744720595 | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))) | |
| accuracy | 0.6135076679989054 | #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 54.63931789975568 | (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) | |
| accuracy | 0.29397405521294406 | #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) | |
| accuracy | 0.390625 | (*.f64 #s(literal -1/36 binary64) x) | |
| accuracy | 0.45150375976844204 | (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) | |
| accuracy | 0.5 | (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) | |
| accuracy | 0.1546798744720595 | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| accuracy | 0.09375 | (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.1546798744720595 | #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)) | |
| accuracy | 0.32421875 | (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| accuracy | 0.6068895944550308 | #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) | |
| accuracy | 0.1015625 | (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) | |
| accuracy | 0.13093221586101422 | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) | |
| accuracy | 0.1484375 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))) |
| 393.0ms | 189× | 2 | valid |
| 107.0ms | 65× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 416 to 57 computations (86.3% saved)
adjust: 127.0ms (30.3% of total)ival-mult: 81.0ms (19.3% of total)ival-sin: 54.0ms (12.9% of total)const: 51.0ms (12.2% of total)ival-add: 47.0ms (11.2% of total)ival-sub: 21.0ms (5% of total)ival-div: 14.0ms (3.3% of total)ival-pow: 12.0ms (2.9% of total)ival-pow2: 10.0ms (2.4% of total)ival-tan: 2.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))) |
(*.f64 x x) |
#s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 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 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
(*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) |
(/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
#s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) |
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) |
(*.f64 #s(literal -1/36 binary64) x) |
#s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 2) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
-23/360 |
(- (* -11/15120 (pow x 2)) 23/360) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(/ 1/6 (pow x 4)) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4)) |
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4)) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* -1/36 x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(* x (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36)) |
(* x (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 5)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 2)) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
-11/15120 |
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -11/15120 (pow x 3)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* 121/228614400 (pow x 9)) |
(* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(* (pow x 9) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8))))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))) |
(* -1 (* (pow x 9) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4))) (* x x) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (/ (- 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)) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (* -11/15120 (* x x)) -23/360) (* (* (- (* -11/15120 (* x x)) 23/360) x) x) (/ (- x (sin x)) (tan x)) (* (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) x) (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (pow x 6)) (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (* (pow x 4) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360)) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* (- (* -11/15120 (* x x)) 23/360) x) (* -1/36 x) (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (/ 1/6 (pow x 4))) |
| 3.0ms | x | @ | inf | ((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4))) (* x x) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (/ (- 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)) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (* -11/15120 (* x x)) -23/360) (* (* (- (* -11/15120 (* x x)) 23/360) x) x) (/ (- x (sin x)) (tan x)) (* (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) x) (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (pow x 6)) (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (* (pow x 4) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360)) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* (- (* -11/15120 (* x x)) 23/360) x) (* -1/36 x) (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (/ 1/6 (pow x 4))) |
| 2.0ms | x | @ | 0 | ((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4))) (* x x) (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (/ (- 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)) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (* -11/15120 (* x x)) -23/360) (* (* (- (* -11/15120 (* x x)) 23/360) x) x) (/ (- x (sin x)) (tan x)) (* (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) x) (/ (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (- (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (pow x 6)) (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (* (pow x 4) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360)) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* (- (* -11/15120 (* x x)) 23/360) x) (* -1/36 x) (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (/ 1/6 (pow x 4))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 663 |
| 1 | 481 | 657 |
| 2 | 1658 | 652 |
| 3 | 5015 | 652 |
| 0 | 8222 | 621 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(pow x 2) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
-23/360 |
(- (* -11/15120 (pow x 2)) 23/360) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(/ 1/6 (pow x 4)) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4)) |
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4)) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* -1/36 x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(* x (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36)) |
(* x (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36)) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* -143/604800 (pow x 8)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -11/15120 (pow x 6)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 5)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -11/15120 (pow x 2)) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
-11/15120 |
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -11/15120 (pow x 3)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* 121/228614400 (pow x 9)) |
(* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(* (pow x 9) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8))))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))) |
(* -1 (* (pow x 9) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.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) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* -23/360 (pow x 4)) |
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.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) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(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)) |
-23/360 |
#s(literal -23/360 binary64) |
(- (* -11/15120 (pow x 2)) 23/360) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
(* -23/360 (pow x 2)) |
(*.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4)) |
(/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4)) |
(/.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)) (pow.f64 x #s(literal 4 binary64))) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 #s(literal -23/360 binary64) x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) |
(* -1/36 x) |
(*.f64 #s(literal -1/36 binary64) x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(* x (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 253/2721600 binary64) (*.f64 x x) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(* x (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 121/228614400 binary64) (*.f64 x x) #s(literal 253/2721600 binary64)) (*.f64 x x) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) |
(/ (* x (cos x)) (sin x)) |
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x) |
(* -143/604800 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64))) |
(* -11/15120 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* -11/15120 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))) |
(* -11/15120 (pow x 4)) |
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* -11/15120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
-11/15120 |
#s(literal -11/15120 binary64) |
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) |
(* -143/604800 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -11/15120 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) |
(* 121/228614400 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 121/228614400 binary64)) |
(* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x)) #s(literal 121/228614400 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (/.f64 #s(literal -253/2721600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (/.f64 #s(literal -253/2721600 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 9 binary64))) (+.f64 (/.f64 #s(literal -253/2721600 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)))) |
(* -1 (* (pow x 9) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 9 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 121/228614400 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 529/129600 binary64) (*.f64 x x)) #s(literal -253/2721600 binary64)) x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 577 |
| 0 | 102 | 577 |
| 1 | 378 | 577 |
| 0 | 2627 | 567 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))) |
(*.f64 x x) |
#s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 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 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
(*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x) |
(/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
#s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) |
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) |
(*.f64 #s(literal -1/36 binary64) x) |
#s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
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(fma.f64 (*.f64 x x) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) #s(literal -23/360 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64)))) |
(-.f64 #s(literal -23/360 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x)) x)) |
(-.f64 #s(literal -23/360 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 x x))) |
(-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -23/360 binary64) (-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal -12167/46656000 binary64) (fma.f64 #s(literal -23/360 binary64) (-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64)) |
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x)) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) |
(*.f64 x (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal 12167/46656000 binary64)) x) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64)) x) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64))) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1331/3456649728000 binary64)) #s(literal 12167/46656000 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) |
(*.f64 #s(literal -1/36 binary64) x) |
(*.f64 x #s(literal -1/36 binary64)) |
#s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)) |
(/.f64 #s(literal -1/6 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(neg.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) |
Compiled 16 425 to 1 718 computations (89.5% saved)
18 alts after pruning (9 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 372 | 5 | 377 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 376 | 18 | 394 |
| Status | Accuracy | Program |
|---|---|---|
| 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) x))) | |
| ✓ | 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) |
| ✓ | 56.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 6.0% | (/.f64 #s(approx (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x)) x)) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) | |
| ✓ | 55.5% | #s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
| ✓ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
| 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))) | |
| 99.2% | #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)))) | |
| ✓ | 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
| 99.4% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| 99.5% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)))) x)) | |
| 99.3% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x) #s(literal 1/6 binary64))) x)) | |
| 99.6% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 98.8% | #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)) |
| ✓ | 98.8% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 99.2% | #s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))))) | |
| ✓ | 12.3% | #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))) |
Compiled 1 556 to 560 computations (64% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#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 (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 (fma.f64 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 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 (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 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan 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)) (*.f64 x x))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #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 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #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 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 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 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/6 (pow x 4)) 11/15120) (/ 23/360 (* x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) x))) |
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64)))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 2 binary64))))) |
(/.f64 #s(approx (+ (* (* x (cos x)) (neg (tan x))) (pow (sin x) 2)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (sin.f64 x)) x)) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.6% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#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 (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 (fma.f64 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 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 (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 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan 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)) (*.f64 x x))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #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 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #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 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
2 calls:
| 6.0ms | x |
| 3.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.6% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#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 (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 (fma.f64 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 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 (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 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan 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)) (*.f64 x x))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #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 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #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 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.6% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#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 (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 (fma.f64 (fma.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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 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 (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 (/.f64 #s(approx (* (- (pow (* (* (- (* -11/15120 (* x x)) 23/360) x) x) 2) 1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (-.f64 (*.f64 #s(approx (* (- (* -11/15120 (* x x)) 23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- x (sin x)) (tan 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)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.6% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#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 (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 (fma.f64 (fma.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 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.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 (+ (PI) x))) #s(literal 0 binary64)) |
#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 (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.4% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#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 (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
2 calls:
| 3.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.4% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
#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 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 |
|---|---|---|
| 98.8% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 98.8% | 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 (+ (PI) x))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 55.5% | 1 | x |
Compiled 8 to 6 computations (25% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 216 |
| 1 | 95 | 216 |
| 2 | 156 | 216 |
| 3 | 274 | 216 |
| 4 | 412 | 216 |
| 5 | 527 | 216 |
| 6 | 739 | 216 |
| 7 | 1519 | 216 |
| 8 | 5830 | 216 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 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 (fma.f64 (fma.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 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 (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 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (fma.f64 (pow.f64 x #s(literal 4 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 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(approx (* (- (* (* (- (* (* x x) -143/604800) 11/15120) x) x) 23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))) |
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #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 (+ (PI) x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #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 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 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 (fma.f64 (fma.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 (+ (PI) x))) (*.f64 (*.f64 (fma.f64 (fma.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 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #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 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) 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 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 415 |
| 0 | 94 | 413 |
| 1 | 368 | 365 |
| 0 | 2625 | 359 |
| 0 | 43 | 249 |
| 0 | 74 | 245 |
| 1 | 274 | 245 |
| 0 | 1929 | 245 |
| 0 | 5 | 15 |
| 0 | 9 | 15 |
| 1 | 33 | 15 |
| 2 | 228 | 15 |
| 3 | 2193 | 15 |
| 0 | 8990 | 15 |
| 0 | 105 | 261 |
| 1 | 342 | 247 |
| 2 | 1118 | 245 |
| 3 | 3866 | 231 |
| 0 | 8771 | 210 |
| 0 | 152 | 663 |
| 1 | 481 | 657 |
| 2 | 1658 | 652 |
| 3 | 5015 | 652 |
| 0 | 8222 | 621 |
| 0 | 353 | 953 |
| 1 | 1234 | 932 |
| 2 | 4816 | 902 |
| 0 | 8447 | 846 |
| 0 | 252 | 834 |
| 1 | 917 | 795 |
| 2 | 3721 | 757 |
| 0 | 8467 | 721 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 234 to 68 computations (70.9% saved)
Compiled 492 to 154 computations (68.7% saved)
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