
Time bar (total: 14.1s)
| 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 | 5 711× | 2 | valid |
| 403.0ms | 2 388× | 1 | valid |
| 11.0ms | 157× | 0 | valid |
ival-sin: 2.1s (73.2% of total)adjust: 283.0ms (9.7% of total)ival-div: 210.0ms (7.2% of total)ival-sub: 131.0ms (4.5% of total)ival-tan: 68.0ms (2.3% of total)ival-<=: 61.0ms (2.1% of total)ival-and: 12.0ms (0.4% of total)exact: 10.0ms (0.3% of total)ival-assert: 3.0ms (0.1% of total)| 1× | egg-herbie |
| 272× | lower-fma.f64 |
| 272× | lower-fma.f32 |
| 176× | lower-*.f64 |
| 176× | lower-*.f32 |
| 140× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 26 | 17 |
| 2 | 76 | 14 |
| 3 | 229 | 14 |
| 4 | 572 | 14 |
| 5 | 784 | 14 |
| 6 | 817 | 14 |
| 7 | 855 | 14 |
| 8 | 884 | 14 |
| 0 | 5 | 7 |
| 0 | 9 | 7 |
| 1 | 14 | 7 |
| 2 | 21 | 7 |
| 3 | 33 | 7 |
| 4 | 58 | 7 |
| 5 | 88 | 7 |
| 6 | 144 | 7 |
| 7 | 234 | 7 |
| 8 | 414 | 7 |
| 9 | 673 | 7 |
| 10 | 680 | 7 |
| 11 | 718 | 7 |
| 12 | 747 | 7 |
| 0 | 747 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 86 | 1 | (0.10128692023148864) | 0 | - | (-.f64 x (sin.f64 x)) |
| 58 | 0 | - | 4 | (5.90385877116568e-105) | (/.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 | 87 | 0 |
/.f64 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) | u/n | 54 | 0 |
| ↳ | (-.f64 x (sin.f64 x)) | underflow | 169 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 140 | 0 |
| - | 1 | 115 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 140 | 0 | 0 |
| - | 1 | 0 | 115 |
| number | freq |
|---|---|
| 0 | 115 |
| 1 | 141 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 250.0ms | 352× | 2 | valid |
| 19.0ms | 156× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 52 to 24 computations (53.8% saved)
ival-sin: 158.0ms (83.4% of total)adjust: 12.0ms (6.3% of total)ival-div: 8.0ms (4.2% of total)ival-sub: 7.0ms (3.7% of total)ival-tan: 3.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.6% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
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)) |
| 272× | lower-fma.f64 |
| 272× | lower-fma.f32 |
| 176× | lower-*.f64 |
| 176× | lower-*.f32 |
| 140× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 9 | 16 |
| 1 | 14 | 16 |
| 2 | 21 | 16 |
| 3 | 33 | 16 |
| 4 | 58 | 16 |
| 5 | 88 | 16 |
| 6 | 144 | 16 |
| 7 | 234 | 16 |
| 8 | 414 | 16 |
| 9 | 673 | 16 |
| 10 | 680 | 16 |
| 11 | 718 | 16 |
| 12 | 747 | 16 |
| 0 | 747 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 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 | 100.0% | (tan.f64 x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 81.5% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| ✓ | accuracy | 69.7% | (-.f64 x (sin.f64 x)) |
| 106.0ms | 176× | 2 | valid |
| 9.0ms | 78× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-sin: 54.0ms (78.6% of total)adjust: 6.0ms (8.7% of total)ival-div: 4.0ms (5.8% of total)ival-sub: 3.0ms (4.4% of total)ival-tan: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))> |
#<alt (-.f64 x (sin.f64 x))> |
#<alt (sin.f64 x)> |
#<alt (tan.f64 x)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))> |
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))> |
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))> |
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))> |
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (sin x) x) 1)))> |
#<alt (* -1 (* x (- (/ (sin x) x) 1)))> |
#<alt (* -1 (* x (- (/ (sin x) x) 1)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- x (sin x)) (tan x)) |
| 1.0ms | x | @ | -inf | (/ (- x (sin x)) (tan x)) |
| 1.0ms | x | @ | 0 | (/ (- x (sin x)) (tan x)) |
| 0.0ms | x | @ | inf | (tan x) |
| 0.0ms | x | @ | -inf | (tan x) |
| 1× | batch-egg-rewrite |
| 5 862× | lower-*.f64 |
| 5 862× | lower-*.f32 |
| 3 904× | lower-/.f32 |
| 3 902× | lower-/.f64 |
| 2 230× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 9 | 15 |
| 1 | 37 | 15 |
| 2 | 267 | 15 |
| 3 | 3099 | 15 |
| 0 | 9023 | 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 x (tan.f64 x)) (neg.f64 (cos.f64 x))) |
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(+.f64 (neg.f64 (cos.f64 x)) (/.f64 x (tan.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))) (/.f64 x (tan.f64 x))) |
(+.f64 (*.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (tan.f64 x)) (neg.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (tan.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (tan.f64 x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (tan.f64 x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))) |
(-.f64 (/.f64 (*.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) |
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) (/.f64 x (tan.f64 x))) |
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 x))) (/.f64 x (tan.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (cos.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x))) |
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) |
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) |
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (tan.f64 x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (neg.f64 (tan.f64 x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (sin.f64 x))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x))) |
(tan.f64 x) |
(neg.f64 (neg.f64 (tan.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x)))) |
(/.f64 (tan.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x))))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) |
(pow.f64 (tan.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
| 1× | egg-herbie |
| 18 358× | lower-fma.f64 |
| 18 358× | lower-fma.f32 |
| 5 180× | lower-*.f64 |
| 5 180× | lower-*.f32 |
| 3 422× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 408 |
| 1 | 301 | 384 |
| 2 | 829 | 384 |
| 3 | 2520 | 348 |
| 4 | 5523 | 342 |
| 0 | 8535 | 318 |
| 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)))) |
(/ (* x (cos x)) (sin x)) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(/ (* x (cos x)) (sin x)) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(* 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 (/ (sin x) x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (- (/ (sin x) x) 1))) |
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)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
x |
(* 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)))))))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.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 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64))) |
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) |
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64))) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.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 (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) |
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(-.f64 x (sin.f64 x)) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(-.f64 x (sin.f64 x)) |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(-.f64 x (sin.f64 x)) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(-.f64 x (sin.f64 x)) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(-.f64 x (sin.f64 x)) |
(* -1 (* x (- (/ (sin x) x) 1))) |
(-.f64 x (sin.f64 x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
Compiled 12 233 to 1 550 computations (87.3% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 519 | 6 | 525 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 519 | 7 | 526 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.6% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 81.3% | (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) | |
| ▶ | 80.8% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
| ▶ | 99.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ▶ | 99.3% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
| ▶ | 99.6% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
| ▶ | 99.0% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
Compiled 190 to 111 computations (41.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
| 2 152× | lower-fma.f32 |
| 2 140× | lower-fma.f64 |
| 696× | lower-*.f32 |
| 672× | lower-*.f64 |
| 634× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 221 |
| 0 | 51 | 215 |
| 1 | 122 | 215 |
| 2 | 315 | 215 |
| 3 | 617 | 215 |
| 4 | 1084 | 215 |
| 5 | 1553 | 215 |
| 6 | 1618 | 215 |
| 7 | 1621 | 215 |
| 8 | 1622 | 215 |
| 0 | 1622 | 215 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
x |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
(*.f64 x x) |
#s(literal -143/604800 binary64) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
x |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(tan.f64 x) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
x |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
(fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) |
(*.f64 x x) |
#s(literal -143/604800 binary64) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
x |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (tan.f64 x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(tan.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (tan.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 81.5% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.2% | (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
| 92.0ms | 256× | 0 | valid |
Compiled 248 to 33 computations (86.7% saved)
ival-mult: 28.0ms (56% of total)const: 12.0ms (24% of total)ival-add: 6.0ms (12% of total)ival-tan: 2.0ms (4% of total)ival-div: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))> |
#<alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))> |
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))> |
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))> |
#<alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))> |
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))> |
#<alt (tan.f64 x)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -23/360 x)> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* -23/360 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* -11/15120 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* -11/15120 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))> |
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))> |
#<alt (* -11/15120 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))> |
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))> |
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))> |
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))> |
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))> |
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))> |
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))> |
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))> |
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* -11/15120 x)> |
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))> |
#<alt (* -143/604800 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -143/604800 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt -23/360> |
#<alt (- (* -11/15120 (pow x 2)) 23/360)> |
#<alt (- (* -11/15120 (pow x 2)) 23/360)> |
#<alt (- (* -11/15120 (pow x 2)) 23/360)> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -11/15120 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))) |
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) -23/360) 1/6)) |
| 1.0ms | x | @ | inf | (/ (* 1/6 (* x (* x x))) (tan x)) |
| 1.0ms | x | @ | -inf | (/ (* 1/6 (* x (* x x))) (tan x)) |
| 1.0ms | x | @ | inf | (* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))) |
| 1× | batch-egg-rewrite |
| 6 070× | lower-fma.f32 |
| 6 058× | lower-fma.f64 |
| 4 856× | lower-*.f32 |
| 4 832× | lower-*.f64 |
| 4 378× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 176 |
| 0 | 51 | 170 |
| 1 | 207 | 170 |
| 2 | 1432 | 170 |
| 0 | 8189 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
(tan.f64 x) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64))))) |
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(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)) #s(literal 529/129600 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64))) (*.f64 #s(literal 1771561/11948427342082473984000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1801152661463/101559956668416000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1771561/11948427342082473984000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 148035889/2176782336000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 16194277/161273449709568000000 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1771561/11948427342082473984000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -148035889/2176782336000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal 12167/46656000 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1771561/11948427342082473984000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -148035889/2176782336000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 14641/52264543887360000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 279841/16796160000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 64009/29628426240000 binary64)))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 14641/52264543887360000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -279841/16796160000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) #s(literal 529/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))))) (neg.f64 (-.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (fma.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))) (*.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 529/129600 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))) |
(*.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) |
(tan.f64 x) |
(neg.f64 (neg.f64 (tan.f64 x))) |
(/.f64 (tan.f64 x) #s(literal 1 binary64)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64)) |
(*.f64 (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (tan.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
| 1× | egg-herbie |
| 16 412× | lower-fma.f64 |
| 16 412× | lower-fma.f32 |
| 5 598× | lower-*.f64 |
| 5 598× | lower-*.f32 |
| 2 824× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 1944 |
| 1 | 507 | 1938 |
| 2 | 1660 | 1914 |
| 3 | 5185 | 1906 |
| 0 | 8564 | 1815 |
| 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)))) |
(* -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 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))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 3)) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* -23/360 (pow x 2))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* 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) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* -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)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 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)))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (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)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* -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)))))) |
(* (pow x 5) (- (/ 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)))))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(* -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)))))) |
(* (pow x 4) (- (/ 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)))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18)))) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -11/15120 x) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -143/604800 (pow x 3)) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
-23/360 |
(- (* -11/15120 (pow x 2)) 23/360) |
(- (* -11/15120 (pow x 2)) 23/360) |
(- (* -11/15120 (pow x 2)) 23/360) |
(* -11/15120 (pow x 2)) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 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)))))) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
x |
(* 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)))))))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* -143/604800 (pow x 6)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/6 binary64)) |
(* -143/604800 (pow x 6)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/6 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
(* -143/604800 (pow x 5)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -143/604800 (pow x 5)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* -23/360 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -23/360 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -23/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -23/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* -23/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -23/360 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* -23/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -23/360 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(* -11/15120 (pow x 6)) |
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* -11/15120 (pow x 6)) |
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(* -11/15120 (pow x 5)) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* -11/15120 (pow x 5)) |
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(* -11/15120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* -11/15120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/270 binary64) #s(literal -1/18 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2835 binary64)) #s(literal -1/270 binary64)) #s(literal -1/18 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -11/15120 x) |
(*.f64 x #s(literal -11/15120 binary64)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(* -143/604800 (pow x 3)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(* -143/604800 (pow x 3)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 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)) |
(- (* -11/15120 (pow x 2)) 23/360) |
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #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)) |
(* -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)) |
(* -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)) |
(* -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 (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)) |
(* -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)) |
(* -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)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) x) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
Compiled 28 708 to 2 550 computations (91.1% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 888 | 7 | 895 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 889 | 13 | 902 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.6% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.2% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) | |
| ▶ | 81.3% | (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
| ▶ | 99.4% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ▶ | 98.0% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
| 25.0% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| ▶ | 99.1% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ▶ | 99.5% | (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
| 99.4% | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) | |
| ✓ | 99.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | 99.3% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
| ✓ | 99.6% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
| ✓ | 99.0% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
Compiled 376 to 208 computations (44.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
| ✓ | cost-diff | 320 | (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
| 7 520× | lower-fma.f32 |
| 7 502× | lower-fma.f64 |
| 3 386× | lower-*.f32 |
| 3 364× | lower-*.f64 |
| 3 162× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 341 |
| 0 | 72 | 341 |
| 1 | 179 | 325 |
| 2 | 530 | 315 |
| 3 | 1451 | 315 |
| 4 | 3153 | 315 |
| 5 | 6984 | 315 |
| 6 | 7489 | 315 |
| 7 | 7875 | 315 |
| 0 | 8014 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
x |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) |
(*.f64 x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
#s(literal -143/604800 binary64) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal -23/360 binary64)) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal -23/360 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
#s(literal 529/129600 binary64) |
#s(literal -1/36 binary64) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
x |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
(tan.f64 x) |
| Outputs |
|---|
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
x |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
(fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) |
#s(literal -143/604800 binary64) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal -23/360 binary64)) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal -23/360 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) |
(fma.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
#s(literal 529/129600 binary64) |
#s(literal -1/36 binary64) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) |
x |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
(tan.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 81.5% | (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 x #s(literal -23/360 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
| ✓ | accuracy | 99.5% | (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
| ✓ | accuracy | 99.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) |
| 96.0ms | 256× | 0 | valid |
Compiled 381 to 48 computations (87.4% saved)
const: 30.0ms (39.5% of total)ival-mult: 27.0ms (35.6% of total)ival-add: 9.0ms (11.9% of total)ival-div: 7.0ms (9.2% of total)ival-tan: 2.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))> |
#<alt (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))))> |
#<alt (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)> |
#<alt (*.f64 x #s(literal 1/6 binary64))> |
#<alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))))> |
#<alt (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))> |
#<alt (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))> |
#<alt (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x))> |
#<alt (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))> |
#<alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))> |
#<alt (*.f64 x #s(literal -23/360 binary64))> |
#<alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))> |
#<alt (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))> |
| Outputs |
|---|
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -23/360 (pow x 3))> |
#<alt (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt 6> |
#<alt (+ 6 (* 23/10 (pow x 2)))> |
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))> |
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))> |
#<alt (/ -360/23 (pow x 2))> |
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt (/ -360/23 (pow x 2))> |
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (pow x 2))> |
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (pow x 2))> |
#<alt (/ -360/23 (pow x 4))> |
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))> |
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))> |
#<alt (/ -360/23 (pow x 4))> |
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))> |
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))> |
#<alt -1/6> |
#<alt (- (* -23/360 (pow x 2)) 1/6)> |
#<alt (- (* -23/360 (pow x 2)) 1/6)> |
#<alt (- (* -23/360 (pow x 2)) 1/6)> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))> |
#<alt (* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))> |
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))> |
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))> |
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))> |
#<alt (* -1/362880 (pow x 9))> |
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* -1/362880 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))> |
#<alt (* -1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* -1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* -23/360 x)> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))> |
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))> |
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))> |
#<alt (* 529/129600 (pow x 6))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* 529/129600 (pow x 6))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt (* 529/129600 (pow x 2))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/120 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))> |
#<alt (* -1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* -1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/ (+ (* (* x x) -23/360) -1/6) (* (* x x) (+ (* (* x x) (* (* x x) 529/129600)) -1/36))) |
| 1.0ms | x | @ | -inf | (/ (* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) (tan x)) |
| 1.0ms | x | @ | inf | (/ 1 (/ (+ (* (* x x) -23/360) -1/6) (* (* x x) (+ (* (* x x) (* (* x x) 529/129600)) -1/36)))) |
| 1.0ms | x | @ | inf | (/ (* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) (tan x)) |
| 1.0ms | x | @ | 0 | (/ 1 (/ (+ (* (* x x) -23/360) -1/6) (* (* x x) (+ (* (* x x) (* (* x x) 529/129600)) -1/36)))) |
| 1× | batch-egg-rewrite |
| 5 068× | lower-fma.f32 |
| 5 050× | lower-fma.f64 |
| 4 860× | lower-*.f32 |
| 4 838× | lower-*.f64 |
| 3 880× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 264 |
| 0 | 72 | 253 |
| 1 | 343 | 227 |
| 2 | 2578 | 227 |
| 0 | 8474 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) |
(*.f64 x x) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) |
(*.f64 x #s(literal -23/360 binary64)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))) |
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))) (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x)))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))) x (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 3 binary64)) (*.f64 #s(literal -1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))))) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))) |
| 1× | egg-herbie |
| 18 442× | lower-fma.f64 |
| 18 442× | lower-fma.f32 |
| 6 164× | lower-*.f64 |
| 6 164× | lower-*.f32 |
| 3 228× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 247 | 2466 |
| 1 | 715 | 2466 |
| 2 | 2235 | 2386 |
| 3 | 6316 | 2386 |
| 0 | 8292 | 2297 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 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)))) |
(* -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 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))))))) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
6 |
(+ 6 (* 23/10 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) |
(/ -360/23 (pow x 2)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -360/23 (pow x 2)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* -23/360 (pow x 2))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2)) |
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (pow x 2)) |
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (pow x 2)) |
(/ -360/23 (pow x 4)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4)) |
(/ -360/23 (pow x 4)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4)) |
-1/6 |
(- (* -23/360 (pow x 2)) 1/6) |
(- (* -23/360 (pow x 2)) 1/6) |
(- (* -23/360 (pow x 2)) 1/6) |
(* -23/360 (pow x 2)) |
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -23/360 (pow x 2)) |
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* 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)))) |
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x))) |
(* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))) |
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))) |
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x)))))))) |
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x))) |
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x)))))) |
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))) |
(* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))) |
(* 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)))) |
(* -1/362880 (pow x 9)) |
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* -1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(* -1/362880 (pow x 8)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* -1/362880 (pow x 8)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36)) |
(* 529/129600 (pow x 6)) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* 529/129600 (pow x 6)) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
(* 529/129600 (pow x 2)) |
1/6 |
(+ 1/6 (* -1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))) |
(* -1/362880 (pow x 6)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* -1/362880 (pow x 6)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
| Outputs |
|---|
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (+.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (-.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (+.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (+.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (+.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -23/360 (pow x 3)) |
(*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) |
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (-.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (-.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(* -23/360 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -23/360 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 23/10 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 23/10 binary64) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 529/600 binary64)) #s(literal 23/10 binary64)) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 12167/36000 binary64)) #s(literal 529/600 binary64))) #s(literal 23/10 binary64))) #s(literal 6 binary64)) |
(/ -360/23 (pow x 2)) |
(/.f64 #s(literal -360/23 binary64) (*.f64 x x)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -360/23 binary64) (-.f64 (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1296000/12167 binary64) (/.f64 #s(literal 77760000/279841 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ -360/23 (pow x 2)) |
(/.f64 #s(literal -360/23 binary64) (*.f64 x x)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -360/23 binary64) (-.f64 (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1296000/12167 binary64) (/.f64 #s(literal 77760000/279841 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x 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 (* -23/360 (pow x 2))) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #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)) |
(* -23/360 (pow x 2)) |
(*.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* -23/360 (pow x 2)) |
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(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -143/604800 (pow x 5)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -143/604800 binary64) (-.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -143/604800 binary64) (-.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/36 binary64)) |
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) |
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) |
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) |
(* 529/129600 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64)) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 529/129600 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64)) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(* 529/129600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(* -1/362880 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/362880 binary64)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1/362880 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/362880 binary64)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
Compiled 42 819 to 3 378 computations (92.1% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 366 | 7 | 1 373 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 370 | 16 | 1 386 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.6% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 81.4% | (/.f64 (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (tan.f64 x)) | |
| ▶ | 99.3% | (/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
| ▶ | 99.1% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| 97.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) | |
| ▶ | 99.6% | (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
| 25.0% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| ✓ | 99.1% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | 99.5% | (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
| ▶ | 99.4% | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
| ▶ | 99.5% | (*.f64 x (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
| ✓ | 99.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | 99.3% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
| ✓ | 99.6% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
| ✓ | 99.0% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
Compiled 503 to 270 computations (46.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) |
| ✓ | cost-diff | 5248 | (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
| 5 068× | lower-fma.f32 |
| 5 050× | lower-fma.f64 |
| 4 542× | lower-*.f32 |
| 4 508× | lower-*.f64 |
| 2 106× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 545 |
| 0 | 91 | 553 |
| 1 | 219 | 435 |
| 2 | 627 | 413 |
| 3 | 1752 | 405 |
| 4 | 6831 | 405 |
| 0 | 8089 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
(/.f64 x (tan.f64 x)) |
(tan.f64 x) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x x) |
x |
#s(literal 6 binary64) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
x |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal -23/360 binary64)) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) |
x |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(*.f64 x x) |
#s(literal 529/129600 binary64) |
#s(literal -1/36 binary64) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x #s(literal -23/360 binary64)) |
#s(literal -23/360 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
x |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
#s(literal -143/604800 binary64) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) |
(*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) |
#s(literal -1/362880 binary64) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
(/.f64 x (tan.f64 x)) |
(tan.f64 x) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x x) |
x |
#s(literal 6 binary64) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
x |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal -23/360 binary64)) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)))) |
x |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) |
(*.f64 x (fma.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)) |
(fma.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) |
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) |
(*.f64 x x) |
#s(literal 529/129600 binary64) |
#s(literal -1/36 binary64) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) |
(*.f64 x #s(literal -23/360 binary64)) |
#s(literal -23/360 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
x |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
#s(literal -143/604800 binary64) |
#s(literal -11/15120 binary64) |
#s(literal -23/360 binary64) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) |
x |
(*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 143/604800 binary64) #s(literal 11/15120 binary64)) #s(literal 23/360 binary64)) #s(literal 1/6 binary64))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 143/604800 binary64) #s(literal 11/15120 binary64)) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) |
| ✓ | accuracy | 99.2% | (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) |
| ✓ | accuracy | 99.2% | (*.f64 x #s(literal -23/360 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.2% | (*.f64 x #s(literal -23/360 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 x (tan.f64 x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
| 150.0ms | 256× | 0 | valid |
Compiled 609 to 58 computations (90.5% saved)
ival-mult: 71.0ms (55.8% of total)const: 33.0ms (25.9% of total)ival-div: 10.0ms (7.9% of total)ival-add: 9.0ms (7.1% of total)ival-tan: 2.0ms (1.6% of total)ival-sub: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x)))> |
#<alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))> |
#<alt (/.f64 (*.f64 x x) #s(literal 6 binary64))> |
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))> |
#<alt (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))> |
#<alt (/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))> |
#<alt (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))> |
#<alt (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))> |
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))> |
#<alt (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x)> |
#<alt (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))> |
#<alt (*.f64 x (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))))> |
#<alt (/.f64 x (tan.f64 x))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)))> |
#<alt (*.f64 x #s(literal -23/360 binary64))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))> |
#<alt (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))> |
#<alt (* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))> |
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))> |
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))> |
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))> |
#<alt (* -1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* -1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/120 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))> |
#<alt (* -1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* -1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* -23/360 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt 6> |
#<alt (+ 6 (* 23/10 (pow x 2)))> |
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))> |
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))> |
#<alt (/ -360/23 (pow x 2))> |
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt (/ -360/23 (pow x 2))> |
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -23/360 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))> |
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))> |
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))> |
#<alt (* 529/129600 (pow x 6))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* 529/129600 (pow x 6))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* -1/36 x)> |
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))> |
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))> |
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))> |
#<alt (* 529/129600 (pow x 5))> |
#<alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* 529/129600 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))> |
#<alt -1/36> |
#<alt (- (* 529/129600 (pow x 4)) 1/36)> |
#<alt (- (* 529/129600 (pow x 4)) 1/36)> |
#<alt (- (* 529/129600 (pow x 4)) 1/36)> |
#<alt (* 529/129600 (pow x 4))> |
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* 529/129600 (pow x 4))> |
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt 1/6> |
#<alt (+ 1/6 (* -23/360 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 23/360 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))> |
#<alt (+ 1/6 (* (pow x 2) (+ 23/360 (* (pow x 2) (+ 11/15120 (* 143/604800 (pow x 2)))))))> |
#<alt (* 143/604800 (pow x 6))> |
#<alt (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (+ (* 11/15120 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))> |
#<alt (* 143/604800 (pow x 6))> |
#<alt (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (+ (* 11/15120 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 8))> |
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (/ (* x (cos x)) (sin x))> |
#<alt (* 1/5040 x)> |
#<alt (* x (+ 1/5040 (* -1/362880 (pow x 2))))> |
#<alt (* x (+ 1/5040 (* -1/362880 (pow x 2))))> |
#<alt (* x (+ 1/5040 (* -1/362880 (pow x 2))))> |
#<alt (* -1/362880 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))> |
#<alt (* -1/362880 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* -23/360 x)> |
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2))))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (+ 23/360 (* (pow x 2) (+ 11/15120 (* 143/604800 (pow x 2))))))))> |
#<alt (* 143/604800 (pow x 7))> |
#<alt (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (+ (* 11/15120 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))> |
#<alt (* 143/604800 (pow x 7))> |
#<alt (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 4))) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -143/604800 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ x (tan x)) |
| 1.0ms | x | @ | inf | (/ x (tan x)) |
| 0.0ms | x | @ | inf | (* x (+ (* (* x x) -1/362880) 1/5040)) |
| 0.0ms | x | @ | 0 | (* x (+ (* (* x x) -1/362880) 1/5040)) |
| 0.0ms | x | @ | 0 | (* x (+ (* x (* x (* (* x x) 529/129600))) -1/36)) |
| 1× | batch-egg-rewrite |
| 4 616× | lower-fma.f32 |
| 4 598× | lower-fma.f64 |
| 4 076× | lower-*.f32 |
| 4 042× | lower-*.f64 |
| 3 578× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 361 |
| 0 | 91 | 352 |
| 1 | 402 | 266 |
| 2 | 2918 | 257 |
| 0 | 8204 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) |
(-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) |
(*.f64 x (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(/.f64 x (tan.f64 x)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) |
(*.f64 x #s(literal -23/360 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
(*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x (tan.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) (*.f64 (/.f64 x (tan.f64 x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x)))) |
(fma.f64 (/.f64 x (tan.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 (/.f64 x (tan.f64 x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (/.f64 x (tan.f64 x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (tan.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 (tan.f64 x) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 x)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (/.f64 (tan.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (tan.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (tan.f64 x) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (tan.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (tan.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 x))) (neg.f64 (neg.f64 (tan.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (neg.f64 (/.f64 (tan.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (neg.f64 (neg.f64 (tan.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (tan.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (tan.f64 x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (tan.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) (*.f64 (/.f64 x (tan.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) (-.f64 (*.f64 (*.f64 (/.f64 x (tan.f64 x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (/.f64 x (tan.f64 x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 (/.f64 x (tan.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) (*.f64 (/.f64 x (tan.f64 x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (/.f64 x (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (/.f64 x (tan.f64 x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))))))) |
(pow.f64 (/.f64 (tan.f64 x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (/.f64 x (tan.f64 x))))) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (/.f64 x (tan.f64 x)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (/.f64 x (tan.f64 x)))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
(*.f64 (/.f64 x (tan.f64 x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (/.f64 x (tan.f64 x))) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(*.f64 (*.f64 (/.f64 x (tan.f64 x)) x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (/.f64 x (tan.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
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(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) x) |
| 1× | egg-herbie |
| 19 382× | lower-fma.f64 |
| 19 382× | lower-fma.f32 |
| 7 098× | lower-*.f64 |
| 7 098× | lower-*.f32 |
| 3 554× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 2826 |
| 1 | 837 | 2825 |
| 2 | 2531 | 2751 |
| 3 | 7215 | 2751 |
| 0 | 8188 | 2658 |
| 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)))) |
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x))) |
(* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))) |
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))) |
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x)))))))) |
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x))) |
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x)))))) |
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))) |
(* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(* -1/362880 (pow x 8)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* -1/362880 (pow x 8)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/6 |
(+ 1/6 (* -1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))) |
(* -1/362880 (pow x 6)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* -1/362880 (pow x 6)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(* -23/360 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 3)) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
6 |
(+ 6 (* 23/10 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) |
(/ -360/23 (pow x 2)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -360/23 (pow x 2)) |
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2)) |
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* -23/360 (pow x 2))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -23/360 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36)) |
(* 529/129600 (pow x 6)) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* 529/129600 (pow x 6)) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* -1/36 x) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(* x (- (* 529/129600 (pow x 4)) 1/36)) |
(* 529/129600 (pow x 5)) |
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* 529/129600 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) |
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) |
-1/36 |
(- (* 529/129600 (pow x 4)) 1/36) |
(- (* 529/129600 (pow x 4)) 1/36) |
(- (* 529/129600 (pow x 4)) 1/36) |
(* 529/129600 (pow x 4)) |
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* 529/129600 (pow x 4)) |
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
1/6 |
(+ 1/6 (* -23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 6)) |
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
1/6 |
(+ 1/6 (* 23/360 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 23/360 (* (pow x 2) (+ 11/15120 (* 143/604800 (pow x 2))))))) |
(* 143/604800 (pow x 6)) |
(* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (+ (* 11/15120 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(* 143/604800 (pow x 6)) |
(* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (+ (* 11/15120 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(* 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)))) |
(* -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 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))))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) |
(/ (* x (cos x)) (sin x)) |
(/ (* x (cos x)) (sin x)) |
(/ (* x (cos x)) (sin x)) |
(/ (* x (cos x)) (sin x)) |
(/ (* x (cos x)) (sin x)) |
(/ (* x (cos x)) (sin x)) |
(/ (* x (cos x)) (sin x)) |
(/ (* x (cos x)) (sin x)) |
(* 1/5040 x) |
(* x (+ 1/5040 (* -1/362880 (pow x 2)))) |
(* x (+ 1/5040 (* -1/362880 (pow x 2)))) |
(* x (+ 1/5040 (* -1/362880 (pow x 2)))) |
(* -1/362880 (pow x 3)) |
(* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(* -1/362880 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* -23/360 x) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 5)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 23/360 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))) |
(* x (+ 1/6 (* (pow x 2) (+ 23/360 (* (pow x 2) (+ 11/15120 (* 143/604800 (pow x 2)))))))) |
(* 143/604800 (pow x 7)) |
(* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (+ (* 11/15120 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(* 143/604800 (pow x 7)) |
(* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 4))) (+ 143/604800 (* 11/15120 (/ 1 (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)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -143/604800 (pow x 7)) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal -1/362880 binary64) (cos.f64 x))) (sin.f64 x)) |
(* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))) |
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (sin.f64 x)))))) |
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x)))))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal -1/362880 binary64) (cos.f64 x))) (sin.f64 x)) |
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (cos.f64 x) #s(literal -1/5040 binary64)) (*.f64 x (*.f64 x (sin.f64 x))))) (neg.f64 (pow.f64 x #s(literal 9 binary64)))) |
(* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (pow.f64 x #s(literal 9 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
(* -1/362880 (pow x 8)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1/362880 (pow x 8)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(* -1/362880 (pow x 6)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1/362880 (pow x 6)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -23/360 (pow x 3)) |
(*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(* -23/360 (pow x 3)) |
(*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal 23/360 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal 23/360 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal 23/360 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* -23/360 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -23/360 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) |
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(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 143/604800 binary64) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -143/604800 (pow x 8)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(/ (* x (cos x)) (sin x)) |
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) |
(* 1/5040 x) |
(*.f64 x #s(literal 1/5040 binary64)) |
(* x (+ 1/5040 (* -1/362880 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64))) |
(* x (+ 1/5040 (* -1/362880 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64))) |
(* x (+ 1/5040 (* -1/362880 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64))) |
(* -1/362880 (pow x 3)) |
(*.f64 #s(literal -1/362880 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1/362880 (pow x 3)) |
(*.f64 #s(literal -1/362880 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) |
(* -143/604800 (pow x 5)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -143/604800 (pow x 5)) |
(*.f64 #s(literal -143/604800 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* 23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 11/15120 binary64)) #s(literal 23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (+ 23/360 (* (pow x 2) (+ 11/15120 (* 143/604800 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 143/604800 binary64) #s(literal 11/15120 binary64)) #s(literal 23/360 binary64)) #s(literal 1/6 binary64))) |
(* 143/604800 (pow x 7)) |
(*.f64 #s(literal 143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 143/604800 binary64) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (+ (* 11/15120 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 143/604800 binary64) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 7 binary64))) |
(* 143/604800 (pow x 7)) |
(*.f64 #s(literal 143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (neg.f64 (pow.f64 x #s(literal 7 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 4))) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -23/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64))) |
(* -143/604800 (pow x 7)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64))) |
Compiled 62 434 to 4 171 computations (93.3% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 339 | 5 | 1 344 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 344 | 16 | 1 360 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.6% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 81.4% | (/.f64 (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (tan.f64 x)) | |
| 99.2% | (/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) | |
| ✓ | 99.1% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| 97.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) | |
| ✓ | 99.6% | (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
| 99.6% | (*.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 x (tan.f64 x))) | |
| 99.4% | (*.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) | |
| ✓ | 99.1% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | 99.5% | (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
| 99.1% | (*.f64 x (/.f64 x #s(literal 6 binary64))) | |
| 99.6% | (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) | |
| ✓ | 99.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | 99.3% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
| ✓ | 99.6% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
| ✓ | 99.0% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
Compiled 857 to 282 computations (67.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(*.f64 x (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (tan.f64 x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 x (tan.f64 x))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 x (tan.f64 x))) |
2 calls:
| 22.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(*.f64 x (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (tan.f64 x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
2 calls:
| 8.0ms | x |
| 5.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(*.f64 x (*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
| Outputs |
|---|
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
2 calls:
| 7.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| Outputs |
|---|
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
2 calls:
| 3.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
| 54× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 199 |
| 1 | 82 | 199 |
| 2 | 94 | 199 |
| 3 | 105 | 199 |
| 4 | 111 | 199 |
| 5 | 114 | 199 |
| 6 | 115 | 199 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 x (tan.f64 x))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 x (tan.f64 x))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 x (tan.f64 x))) |
(*.f64 (/.f64 x (tan.f64 x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| 19 382× | lower-fma.f64 |
| 19 382× | lower-fma.f32 |
| 18 358× | lower-fma.f64 |
| 18 358× | lower-fma.f32 |
| 7 098× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 408 |
| 1 | 301 | 384 |
| 2 | 829 | 384 |
| 3 | 2520 | 348 |
| 4 | 5523 | 342 |
| 0 | 8535 | 318 |
| 0 | 25 | 176 |
| 0 | 51 | 170 |
| 1 | 207 | 170 |
| 2 | 1432 | 170 |
| 0 | 8189 | 170 |
| 0 | 48 | 361 |
| 0 | 91 | 352 |
| 1 | 402 | 266 |
| 2 | 2918 | 257 |
| 0 | 8204 | 254 |
| 0 | 38 | 264 |
| 0 | 72 | 253 |
| 1 | 343 | 227 |
| 2 | 2578 | 227 |
| 0 | 8474 | 226 |
| 0 | 287 | 2826 |
| 1 | 837 | 2825 |
| 2 | 2531 | 2751 |
| 3 | 7215 | 2751 |
| 0 | 8188 | 2658 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 340 to 127 computations (62.6% saved)
(abs x)
Compiled 900 to 270 computations (70% saved)
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