
Time bar (total: 15.6s)
| 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)
| 2.6s | 5 729× | 2 | valid |
| 379.0ms | 2 376× | 1 | valid |
| 10.0ms | 151× | 0 | valid |
ival-sin: 1.8s (73.9% of total)ival-div: 180.0ms (7.2% of total)ival-sub: 177.0ms (7.1% of total)adjust: 166.0ms (6.7% of total)ival-tan: 54.0ms (2.2% of total)ival-<=: 47.0ms (1.9% of total)ival-and: 12.0ms (0.5% of total)exact: 11.0ms (0.4% of total)ival-assert: 3.0ms (0.1% of total)| 2× | egg-herbie |
| 272× | accelerator-lowering-fma.f32 |
| 272× | accelerator-lowering-fma.f64 |
| 176× | *-lowering-*.f32 |
| 176× | *-lowering-*.f64 |
| 150× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 32 | 22 |
| 2 | 80 | 21 |
| 3 | 228 | 21 |
| 4 | 575 | 21 |
| 5 | 786 | 21 |
| 6 | 812 | 21 |
| 7 | 850 | 21 |
| 8 | 879 | 21 |
| 0 | 5 | 7 |
| 1 | 10 | 7 |
| 2 | 17 | 7 |
| 3 | 29 | 7 |
| 4 | 54 | 7 |
| 5 | 84 | 7 |
| 6 | 140 | 7 |
| 7 | 230 | 7 |
| 8 | 409 | 7 |
| 9 | 671 | 7 |
| 10 | 681 | 7 |
| 11 | 719 | 7 |
| 12 | 748 | 7 |
| 0 | 748 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- x (sin x)) (tan x)) |
| Outputs |
|---|
(/ (- x (sin x)) (tan x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Inputs |
|---|
(/ (- x (sin x)) (tan x)) |
(/ (- (neg x) (sin (neg x))) (tan (neg x))) |
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x)))) |
| Outputs |
|---|
(/ (- x (sin x)) (tan x)) |
(/ (- (neg x) (sin (neg x))) (tan (neg x))) |
(/ (- x (sin x)) (tan x)) |
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x)))) |
(/ (- (sin x) x) (tan x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 87 | 0 | - | 0 | - | (-.f64 x (sin.f64 x)) |
| 38 | 1 | (1.860734548958281e-161) | 0 | - | (/.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 | 39 | 0 |
| ↳ | (-.f64 x (sin.f64 x)) | underflow | 167 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 0 |
| - | 1 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 0 |
| - | 1 | 0 | 130 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 151.0ms | 342× | 2 | valid |
| 17.0ms | 154× | 1 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 52 to 24 computations (53.8% saved)
ival-sin: 99.0ms (66.5% of total)adjust: 23.0ms (15.5% of total)ival-div: 14.0ms (9.4% of total)ival-sub: 7.0ms (4.7% of total)ival-tan: 4.0ms (2.7% 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 |
|---|---|---|
| ▶ | 56.2% | (/.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× | accelerator-lowering-fma.f32 |
| 272× | accelerator-lowering-fma.f64 |
| 176× | *-lowering-*.f32 |
| 176× | *-lowering-*.f64 |
| 150× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 1 | 10 | 16 |
| 2 | 17 | 16 |
| 3 | 29 | 16 |
| 4 | 54 | 16 |
| 5 | 84 | 16 |
| 6 | 140 | 16 |
| 7 | 230 | 16 |
| 8 | 409 | 16 |
| 9 | 671 | 16 |
| 10 | 681 | 16 |
| 11 | 719 | 16 |
| 12 | 748 | 16 |
| 0 | 748 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- x (sin x)) (tan x)) |
(- x (sin x)) |
x |
(sin x) |
(tan x) |
| Outputs |
|---|
(/ (- x (sin x)) (tan x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(- x (sin x)) |
(-.f64 x (sin.f64 x)) |
x |
(sin x) |
(sin.f64 x) |
(tan 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 | 86.8% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| ✓ | accuracy | 69.7% | (-.f64 x (sin.f64 x)) |
| 124.0ms | 171× | 2 | valid |
| 8.0ms | 77× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-sin: 109.0ms (88.6% of total)adjust: 5.0ms (4.1% of total)ival-div: 4.0ms (3.3% of total)ival-sub: 4.0ms (3.3% of total)ival-tan: 2.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- x (sin x)) (tan x))> |
#<alt (- x (sin x))> |
#<alt (sin x)> |
#<alt (tan 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)) |
| 0.0ms | 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× | *-lowering-*.f32 |
| 5 862× | *-lowering-*.f64 |
| 3 904× | /-lowering-/.f32 |
| 3 904× | /-lowering-/.f64 |
| 2 230× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 1 | 33 | 15 |
| 2 | 263 | 15 |
| 3 | 3097 | 15 |
| 0 | 9004 | 15 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- x (sin x)) (tan x)) |
(- x (sin x)) |
(sin x) |
(tan 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 (/.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 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (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 (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))))) |
(*.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) (+.f64 (neg.f64 (*.f64 x x)) (+.f64 #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)))))) |
(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× | accelerator-lowering-fma.f32 |
| 18 358× | accelerator-lowering-fma.f64 |
| 5 180× | *-lowering-*.f32 |
| 5 180× | *-lowering-*.f64 |
| 3 422× | +-lowering-+.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 12 253 to 1 554 computations (87.3% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 518 | 11 | 529 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 518 | 12 | 530 |
| Status | Accuracy | Program |
|---|---|---|
| 56.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 (tan.f64 x) x) #s(literal 1 binary64))) (*.f64 (/.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| 55.8% | (/.f64 (-.f64 x (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)) (tan.f64 x)) | |
| ✓ | 56.2% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| ▶ | 86.1% | (/.f64 (*.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))) (tan.f64 x)) |
| ▶ | 86.3% | (/.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)) |
| 84.9% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) | |
| 56.2% | (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) | |
| 56.2% | (*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x)) | |
| ▶ | 99.0% | (*.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)))) |
| 98.7% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) | |
| ▶ | 99.2% | (*.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)))) |
| ▶ | 97.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
Compiled 362 to 211 computations (41.7% 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 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.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))) |
| ✓ | cost-diff | 0 | (/.f64 (*.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))) (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 | (*.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)))) |
| 24 308× | accelerator-lowering-fma.f32 |
| 24 308× | accelerator-lowering-fma.f64 |
| 3 858× | *-lowering-*.f32 |
| 3 858× | *-lowering-*.f64 |
| 3 288× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 386 |
| 1 | 164 | 386 |
| 2 | 553 | 386 |
| 3 | 1345 | 386 |
| 4 | 2773 | 386 |
| 5 | 4359 | 386 |
| 6 | 4759 | 386 |
| 7 | 5063 | 386 |
| 8 | 5073 | 386 |
| 9 | 5073 | 386 |
| 10 | 6057 | 386 |
| 11 | 7832 | 386 |
| 12 | 7880 | 386 |
| 13 | 7903 | 386 |
| 14 | 7903 | 386 |
| 0 | 8016 | 341 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))) |
x |
(* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)) |
(+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6) |
(* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360)) |
(+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360) |
(* x (+ (* (* x x) -143/604800) -11/15120)) |
(+ (* (* x x) -143/604800) -11/15120) |
(* x x) |
-143/604800 |
-11/15120 |
-23/360 |
1/6 |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6))) |
x |
(* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)) |
(+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6) |
(* x x) |
(+ (* (* x x) -11/15120) -23/360) |
-11/15120 |
-23/360 |
1/6 |
(/ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6)) (tan x)) |
(* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6)) |
(* x (* x x)) |
x |
(* x x) |
(+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6) |
(* x (+ (* x (* x 1/5040)) -1/120)) |
(+ (* x (* x 1/5040)) -1/120) |
(* x 1/5040) |
1/5040 |
-1/120 |
1/6 |
(tan x) |
(/ (* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) (tan x)) |
(* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) |
x |
(* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6)) |
(* x x) |
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6) |
(+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120) |
(+ (* (* x x) -1/362880) 1/5040) |
-1/362880 |
1/5040 |
-1/120 |
1/6 |
(tan x) |
| Outputs |
|---|
(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))) |
(*.f64 x (*.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)))) |
x |
(* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)) |
(*.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))) |
(+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6) |
(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)) |
(* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360)) |
(*.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 (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360) |
(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 (+ (* (* x x) -143/604800) -11/15120)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(+ (* (* x x) -143/604800) -11/15120) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
(* x x) |
(*.f64 x x) |
-143/604800 |
#s(literal -143/604800 binary64) |
-11/15120 |
#s(literal -11/15120 binary64) |
-23/360 |
#s(literal -23/360 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* 1/6 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6))) |
(*.f64 x (*.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 |
(* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)) |
(*.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 x) (+ (* (* x x) -11/15120) -23/360)) 1/6) |
(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 x) |
(*.f64 x x) |
(+ (* (* x x) -11/15120) -23/360) |
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
-11/15120 |
#s(literal -11/15120 binary64) |
-23/360 |
#s(literal -23/360 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(/ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6)) (tan x)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)) |
(* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) |
(* x (+ (* x (* x 1/5040)) -1/120)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(+ (* x (* x 1/5040)) -1/120) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) |
(* x 1/5040) |
(*.f64 x #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
-1/120 |
#s(literal -1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(tan x) |
(tan.f64 x) |
(/ (* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) (tan x)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) (tan.f64 x))) |
(* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)))) |
x |
(* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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))) |
(* x x) |
(*.f64 x x) |
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) |
(+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) |
(+ (* (* x x) -1/362880) 1/5040) |
(fma.f64 x (*.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) |
-1/362880 |
#s(literal -1/362880 binary64) |
1/5040 |
#s(literal 1/5040 binary64) |
-1/120 |
#s(literal -1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(tan x) |
(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 | 86.8% | (/.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 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.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))) |
| ✓ | accuracy | 86.8% | (/.f64 (*.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))) (tan.f64 x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) |
| ✓ | 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 | 99.9% | (*.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 | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.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 | 99.8% | (*.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))) |
| 270.0ms | 256× | 0 | valid |
Compiled 353 to 47 computations (86.7% saved)
ival-add: 134.0ms (53.7% of total)ival-mult: 89.0ms (35.7% of total)const: 21.0ms (8.4% of total)ival-div: 3.0ms (1.2% of total)ival-tan: 2.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))> |
#<alt (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))> |
#<alt (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)> |
#<alt (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))> |
#<alt (* 1/6 (* x x))> |
#<alt (* x x)> |
#<alt (* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)))> |
#<alt (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6))> |
#<alt (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)> |
#<alt (/ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6)) (tan x))> |
#<alt (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6))> |
#<alt (* x (* x x))> |
#<alt (/ (* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) (tan x))> |
#<alt (* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6)))> |
#<alt (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))> |
#<alt (* x (+ (* (* x x) -143/604800) -11/15120))> |
#<alt (+ (* (* x x) -11/15120) -23/360)> |
#<alt (* x (+ (* x (* x 1/5040)) -1/120))> |
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6)> |
| 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 (* (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 (* -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) (- (* -53/226800 (pow x 2)) 11/15120)) 23/360))))> |
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))> |
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/5040 (/ (cos x) (sin x)))))> |
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))> |
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))> |
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (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) (- (* 1/5040 (pow x 2)) 1/120))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))> |
#<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 (* 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 (* -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 (* -1/120 x)> |
#<alt (* x (- (* 1/5040 (pow x 2)) 1/120))> |
#<alt (* x (- (* 1/5040 (pow x 2)) 1/120))> |
#<alt (* x (- (* 1/5040 (pow x 2)) 1/120))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))> |
#<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)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | inf | (/ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6)) (tan x)) |
| 2.0ms | x | @ | inf | (* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6))) |
| 1.0ms | x | @ | -inf | (/ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6)) (tan x)) |
| 1.0ms | 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) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) (tan x)) |
| 1× | batch-egg-rewrite |
| 5 672× | accelerator-lowering-fma.f32 |
| 5 672× | accelerator-lowering-fma.f64 |
| 4 606× | *-lowering-*.f32 |
| 4 606× | *-lowering-*.f64 |
| 3 384× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 287 |
| 1 | 302 | 287 |
| 2 | 2488 | 287 |
| 0 | 8596 | 251 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))) |
(* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)) |
(+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6) |
(* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360)) |
(* 1/6 (* x x)) |
(* x x) |
(* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6))) |
(* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)) |
(+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6) |
(/ (* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6)) (tan x)) |
(* (* x (* x x)) (+ (* x (* x (+ (* x (* x 1/5040)) -1/120))) 1/6)) |
(* x (* x x)) |
(/ (* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) (tan x)) |
(* x (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6))) |
(* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6)) |
(* x (+ (* (* x x) -143/604800) -11/15120)) |
(+ (* (* x x) -11/15120) -23/360) |
(* x (+ (* x (* x 1/5040)) -1/120)) |
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/362880) 1/5040)) -1/120)) 1/6) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.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)))) (*.f64 x x))) |
(+.f64 (*.f64 x (*.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 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.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)))) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (*.f64 (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)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.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 (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))))) (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))))) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)))))) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)))) (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)))))) (-.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 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.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) (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) (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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.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) (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) (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 (*.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) (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) (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 #s(literal 1/36 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))) (/.f64 #s(literal 1/36 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))) (*.f64 (/.f64 (*.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) (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) (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 #s(literal 1/36 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))))))) |
(pow.f64 (/.f64 (-.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) (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 1/36 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 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.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 (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 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 (*.f64 x x) (*.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 -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.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 (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 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 (*.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) (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 1/36 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 (*.f64 x x) #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 (*.f64 x x) (*.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 -1/36 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 |
| 15 938× | accelerator-lowering-fma.f32 |
| 15 938× | accelerator-lowering-fma.f64 |
| 6 258× | *-lowering-*.f32 |
| 6 258× | *-lowering-*.f64 |
| 4 146× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 2691 |
| 1 | 804 | 2691 |
| 2 | 2773 | 2577 |
| 3 | 7137 | 2577 |
| 0 | 8096 | 2481 |
| 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 (* (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 (* -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) (- (* -53/226800 (pow x 2)) 11/15120)) 23/360)))) |
(* 1/5040 (/ (* (pow x 7) (cos x)) (sin x))) |
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/5040 (/ (cos x) (sin x))))) |
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))) |
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))) |
(* 1/5040 (/ (* (pow x 7) (cos x)) (sin x))) |
(* -1 (* (pow x 7) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))) |
(* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))) |
(* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (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) (- (* 1/5040 (pow x 2)) 1/120)))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))) |
(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) |
(* 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))))) |
(* -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)))))) |
(* -1/120 x) |
(* x (- (* 1/5040 (pow x 2)) 1/120)) |
(* x (- (* 1/5040 (pow x 2)) 1/120)) |
(* x (- (* 1/5040 (pow x 2)) 1/120)) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
(* -1 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
(* -1 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
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 (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 x (*.f64 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) (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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 x (*.f64 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 (-.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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -23/360 (pow x 2))) |
(fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 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 (*.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 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))))))) |
(*.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 -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -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))))))) |
(*.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 -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (fma.f64 x (*.f64 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 (*.f64 x 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 (*.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 5)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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))) (pow.f64 x #s(literal 5 binary64))) |
(* (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))) (pow.f64 x #s(literal 5 binary64))) |
(* -143/604800 (pow x 5)) |
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x 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)) |
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(*.f64 (*.f64 x (*.f64 x 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 (*.f64 x 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 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 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 9)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) |
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 9) (- (+ (* 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 9 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 (*.f64 x x) (*.f64 x x))))))) |
(* -1/362880 (pow x 9)) |
(*.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- 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 (pow.f64 x #s(literal 9 binary64)))) |
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 9 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 (*.f64 x x) (*.f64 x x))))))) |
(* 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 x (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 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 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/362880 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 (*.f64 x 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 1/6 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 (*.f64 x x) (*.f64 x x))))))) |
(* -1/362880 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/362880 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 (*.f64 x 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 1/6 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 (*.f64 x 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 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -143/604800 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
-23/360 |
#s(literal -23/360 binary64) |
(- (* -11/15120 (pow x 2)) 23/360) |
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(- (* -11/15120 (pow x 2)) 23/360) |
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(- (* -11/15120 (pow x 2)) 23/360) |
(fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(* -1/120 x) |
(*.f64 x #s(literal -1/120 binary64)) |
(* x (- (* 1/5040 (pow x 2)) 1/120)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(* x (- (* 1/5040 (pow x 2)) 1/120)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(* x (- (* 1/5040 (pow x 2)) 1/120)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* -1 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.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 x (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 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 (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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (*.f64 x x))))))) |
Compiled 31 205 to 2 550 computations (91.8% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 896 | 17 | 913 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 900 | 25 | 925 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (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)))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 99.0% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))) | |
| ▶ | 86.3% | (/.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 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (tan.f64 x)) |
| 56.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 (tan.f64 x) x) #s(literal 1 binary64))) (*.f64 (/.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| ✓ | 56.2% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.0% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64))) (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))) | |
| 98.9% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) | |
| 56.2% | (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) | |
| 99.0% | (*.f64 (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)) (*.f64 x x)) | |
| 86.2% | (*.f64 (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)) (/.f64 (*.f64 x (*.f64 x x)) (tan.f64 x))) | |
| ▶ | 17.1% | (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
| 86.1% | (*.f64 (/.f64 (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)) (tan.f64 x)) (*.f64 x (*.f64 x x))) | |
| 86.3% | (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.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))))) | |
| 56.2% | (*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x)) | |
| 86.3% | (*.f64 (*.f64 x (*.f64 x x)) (/.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)) (tan.f64 x))) | |
| ▶ | 97.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 99.0% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) | |
| 99.0% | (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64)) 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)))) | |
| 99.0% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) | |
| ✓ | 99.0% | (*.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)))) |
| 98.7% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) | |
| ✓ | 99.2% | (*.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)))) |
| ▶ | 25.3% | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))))) |
| ✓ | 97.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 83.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (*.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)))))) #s(literal -1 binary64))) |
Compiled 1 197 to 553 computations (53.8% 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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) |
| ✓ | cost-diff | 0 | (/.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 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (tan.f64 x)) |
| ✓ | cost-diff | 960 | (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 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 2944 | (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 4864 | (pow.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))))) |
| ✓ | cost-diff | 2944 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
| ✓ | 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 | (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 | (*.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 | (*.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 | 640 | (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)))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 29 466× | accelerator-lowering-fma.f32 |
| 29 466× | accelerator-lowering-fma.f64 |
| 6 352× | +-lowering-+.f64 |
| 6 352× | +-lowering-+.f32 |
| 2 666× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 427 |
| 1 | 143 | 387 |
| 2 | 508 | 381 |
| 3 | 1949 | 371 |
| 4 | 5089 | 371 |
| 0 | 8812 | 340 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) (* x x)) (* (* x x) 1/6)) |
(* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) |
x |
(* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360)) |
(+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360) |
(* x (+ (* (* x x) -143/604800) -11/15120)) |
(+ (* (* x x) -143/604800) -11/15120) |
(* x x) |
-143/604800 |
-11/15120 |
-23/360 |
(* (* x x) 1/6) |
1/6 |
(* (* x 1/6) x) |
(* x 1/6) |
x |
1/6 |
(* x (* x (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))))) |
x |
(* x (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))))) |
(* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))) |
(* (* x x) (* x x)) |
(* x x) |
(+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))) |
(/ 1/6 (* (* x x) (* x x))) |
1/6 |
(+ -11/15120 (/ -23/360 (* x x))) |
-11/15120 |
(/ -23/360 (* x x)) |
-23/360 |
(* (pow x 6) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))) |
(pow x 6) |
x |
6 |
(+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))) |
(/ 1/6 (* (* x x) (* x x))) |
1/6 |
(* (* x x) (* x x)) |
(* x x) |
(+ -11/15120 (/ -23/360 (* x x))) |
-11/15120 |
(/ -23/360 (* x x)) |
-23/360 |
(/ (+ (* (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) (* x (* x x))) (* x (* (* x x) 1/6))) (tan x)) |
(+ (* (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) (* x (* x x))) (* x (* (* x x) 1/6))) |
(* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) |
(* x x) |
x |
(+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120) |
(* x (+ (* (* x x) -1/362880) 1/5040)) |
(+ (* (* x x) -1/362880) 1/5040) |
-1/362880 |
1/5040 |
-1/120 |
(* x (* x x)) |
(* x (* (* x x) 1/6)) |
(* (* x x) 1/6) |
1/6 |
(tan x) |
| Outputs |
|---|
(+ (* (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) (* x x)) (* (* x x) 1/6)) |
(*.f64 (*.f64 x 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 (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) |
(*.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)))) |
x |
(* x (+ (* x (* x (+ (* (* x x) -143/604800) -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 (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360) |
(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 (+ (* (* x x) -143/604800) -11/15120)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(+ (* (* x x) -143/604800) -11/15120) |
(fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) |
(* x x) |
(*.f64 x x) |
-143/604800 |
#s(literal -143/604800 binary64) |
-11/15120 |
#s(literal -11/15120 binary64) |
-23/360 |
#s(literal -23/360 binary64) |
(* (* x x) 1/6) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x 1/6) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))))) |
(*.f64 (*.f64 x 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 |
(* x (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x 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 x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x 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 x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
(+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(/ 1/6 (* (* x x) (* x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
1/6 |
#s(literal 1/6 binary64) |
(+ -11/15120 (/ -23/360 (* x x))) |
(+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(/ -23/360 (* x x)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
-23/360 |
#s(literal -23/360 binary64) |
(* (pow x 6) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))) |
(*.f64 (*.f64 x 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))) |
(pow x 6) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
x |
6 |
#s(literal 6 binary64) |
(+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(/ 1/6 (* (* x x) (* x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
(+ -11/15120 (/ -23/360 (* x x))) |
(+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) |
-11/15120 |
#s(literal -11/15120 binary64) |
(/ -23/360 (* x x)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
-23/360 |
#s(literal -23/360 binary64) |
(/ (+ (* (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) (* x (* x x))) (* x (* (* x x) 1/6))) (tan x)) |
(/.f64 (*.f64 (*.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))) (tan.f64 x)) |
(+ (* (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) (* x (* x x))) (* x (* (* x x) 1/6))) |
(*.f64 (*.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))) |
(* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) |
(*.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))) |
(* x x) |
(*.f64 x x) |
x |
(+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120) |
(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)) |
(* x (+ (* (* x x) -1/362880) 1/5040)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) |
(+ (* (* x x) -1/362880) 1/5040) |
(fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) |
-1/362880 |
#s(literal -1/362880 binary64) |
1/5040 |
#s(literal 1/5040 binary64) |
-1/120 |
#s(literal -1/120 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x (* (* x x) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (* x x) 1/6) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(tan x) |
(tan.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.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))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 86.8% | (/.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 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (tan.f64 x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
| ✓ | accuracy | 59.2% | (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 19.2% | (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))) |
| ✓ | accuracy | 59.2% | (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 28.3% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.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 | 99.8% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #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))) |
| 108.0ms | 256× | 0 | valid |
Compiled 438 to 46 computations (89.5% saved)
ival-mult: 39.0ms (47.3% of total)const: 20.0ms (24.3% of total)ival-add: 9.0ms (10.9% of total)ival-pow: 7.0ms (8.5% of total)ival-div: 5.0ms (6.1% of total)ival-tan: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) (* x x)) (* (* x x) 1/6))> |
#<alt (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360)))> |
#<alt (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))> |
#<alt (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360)> |
#<alt (* (* x 1/6) x)> |
#<alt (* x 1/6)> |
#<alt (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))))> |
#<alt (* x (* x (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))))))> |
#<alt (* x (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))))> |
#<alt (* (* x x) (* x x))> |
#<alt (pow x 6)> |
#<alt (* (pow x 6) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))))> |
#<alt (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))> |
#<alt (/ 1/6 (* (* x x) (* x x)))> |
#<alt (+ (* (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) (* x (* x x))) (* x (* (* x x) 1/6)))> |
#<alt (/ (+ (* (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) (* x (* x x))) (* x (* (* x x) 1/6))) (tan x))> |
#<alt (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120))> |
#<alt (* x x)> |
#<alt (* (* x x) 1/6)> |
#<alt (* x (+ (* (* x x) -143/604800) -11/15120))> |
#<alt (/ -23/360 (* x x))> |
#<alt (* x (* x 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 (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))> |
#<alt (* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<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> |
#<alt (- (* -11/15120 (pow x 2)) 23/360)> |
#<alt (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)> |
#<alt (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)> |
#<alt (* -143/604800 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* -143/604800 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))> |
#<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> |
#<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 (* -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 (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (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) (- (* -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 (pow x 4))> |
#<alt (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4))> |
#<alt (/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4))> |
#<alt -11/15120> |
#<alt (* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))> |
#<alt (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))> |
#<alt (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))> |
#<alt -11/15120> |
#<alt (* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))> |
#<alt (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))> |
#<alt (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<alt (/ 1/6 (pow x 4))> |
#<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 (* -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 (* -1/120 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))> |
#<alt (* (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))) (+ 1/362880 (/ 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))) (+ 1/362880 (/ 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 (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 (* -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 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<alt (/ -23/360 (pow x 2))> |
#<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)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) |
| 0.0ms | x | @ | inf | (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))) |
| 0.0ms | x | @ | -inf | (* x 1/6) |
| 0.0ms | x | @ | -inf | (/ (+ (* (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) (* x (* x x))) (* x (* (* x x) 1/6))) (tan x)) |
| 0.0ms | x | @ | 0 | (* x 1/6) |
| 1× | batch-egg-rewrite |
| 6 736× | accelerator-lowering-fma.f32 |
| 6 736× | accelerator-lowering-fma.f64 |
| 4 824× | *-lowering-*.f32 |
| 4 824× | *-lowering-*.f64 |
| 3 872× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 303 |
| 1 | 280 | 261 |
| 2 | 2571 | 253 |
| 0 | 8763 | 225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) (* x x)) (* (* x x) 1/6)) |
(* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) |
(* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360)) |
(+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360) |
(* (* x 1/6) x) |
(* x 1/6) |
(* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))) |
(* x (* x (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))))) |
(* x (* (* (* x x) (* x x)) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))))) |
(* (* x x) (* x x)) |
(pow x 6) |
(* (pow x 6) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))) |
(+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))) |
(/ 1/6 (* (* x x) (* x x))) |
(+ (* (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) (* x (* x x))) (* x (* (* x x) 1/6))) |
(/ (+ (* (* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) (* x (* x x))) (* x (* (* x x) 1/6))) (tan x)) |
(* (* x x) (+ (* x (* x (+ (* (* x x) -1/362880) 1/5040))) -1/120)) |
(* x x) |
(* (* x x) 1/6) |
(* x (+ (* (* x x) -143/604800) -11/15120)) |
(/ -23/360 (* x x)) |
(* x (* x x)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.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))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.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)))) (*.f64 (*.f64 x x) (*.f64 (*.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))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (-.f64 (*.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 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (-.f64 (*.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 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.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)))) (*.f64 (*.f64 x x) (*.f64 (*.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))) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x 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)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.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)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.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))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.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)))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x (*.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)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x 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))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x 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)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 x #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 x #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (/.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (/.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 x #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) x) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 x #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) x) (/.f64 x (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (/.f64 x (/.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 x #s(literal 6 binary64)) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
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(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64))) |
(+.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64))) (*.f64 x #s(literal -11/15120 binary64))) |
(fma.f64 x #s(literal -11/15120 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -143/604800 binary64)) (*.f64 x #s(literal -11/15120 binary64))) |
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -11/15120 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -143/604800 binary64))) x (*.f64 x #s(literal -11/15120 binary64))) |
(fma.f64 #s(literal -11/15120 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -143/604800 binary64) (*.f64 x #s(literal -11/15120 binary64))) |
(fma.f64 (*.f64 x #s(literal -143/604800 binary64)) (*.f64 x x) (*.f64 x #s(literal -11/15120 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (*.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64))) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)) x) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (*.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64)) x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (*.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (*.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64))))) (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal -360/23 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/.f64 #s(literal -23/360 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 23/360 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 23/360 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -360/23 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -360/23 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -23/360 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -360/23 binary64))))) |
(/.f64 (/.f64 #s(literal -23/360 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -360/23 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -360/23 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -23/360 binary64) x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -23/360 binary64) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -23/360 binary64) x))) (neg.f64 (neg.f64 x))) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal -360/23 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -360/23 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal -23/360 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -23/360 binary64)) |
(*.f64 (/.f64 #s(literal -23/360 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -23/360 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 14 032× | accelerator-lowering-fma.f32 |
| 14 032× | accelerator-lowering-fma.f64 |
| 5 878× | *-lowering-*.f32 |
| 5 878× | *-lowering-*.f64 |
| 1 952× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 2440 |
| 1 | 582 | 2418 |
| 2 | 1964 | 2360 |
| 3 | 5824 | 2360 |
| 0 | 8331 | 2284 |
| 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))))))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) |
(* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -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 |
(- (* -11/15120 (pow x 2)) 23/360) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* -143/604800 (pow x 4)) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(* 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 |
(+ 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 (* -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))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(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) (- (* -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 (pow x 4)) |
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4)) |
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4)) |
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4)) |
-11/15120 |
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
-11/15120 |
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(* 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 (* -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))))))))) |
(* -1/120 (pow x 2)) |
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)) |
(* (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))) (+ 1/362880 (/ 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))) (+ 1/362880 (/ 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 (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)) |
(* -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 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(/ -23/360 (pow x 2)) |
(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) |
| 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 x (*.f64 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 (*.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 #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)))))))) |
(* -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 #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 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -23/360 binary64))) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) |
(* (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) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) |
(* (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) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 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 (/ (+ 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))) |
(* -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 (/ (+ 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))) |
(* -23/360 x) |
(*.f64 x #s(literal -23/360 binary64)) |
(* x (- (* -11/15120 (pow x 2)) 23/360)) |
(*.f64 x (fma.f64 x (*.f64 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 (*.f64 x 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 (*.f64 x 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 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)))) |
(* (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))))) |
(* (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 |
#s(literal -23/360 binary64) |
(- (* -11/15120 (pow x 2)) 23/360) |
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(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)) |
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360) |
(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)) |
(* -143/604800 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* -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 x)))) |
(* (pow x 4) (- (* -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 x)))) |
(* -143/604800 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* -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 x)))) |
(* (pow x 4) (- (* -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 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 |
#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 (*.f64 x x) (fma.f64 x (*.f64 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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* -11/15120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x x)))) |
(* -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)))) |
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(*.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 #s(literal -1/120 binary64) (/.f64 (cos.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (sin.f64 x))) (*.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)))) (* 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 1/5040 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x))) |
(*.f64 (*.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) (/.f64 (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 (pow.f64 x #s(literal 9 binary64)) (fma.f64 #s(literal -1/120 binary64) (/.f64 (cos.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (sin.f64 x))) (*.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) (+ (* -1/6 (/ (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 (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 1/5040 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/120 binary64)) |
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)) |
(*.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))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)) |
(*.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))) |
(* -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 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.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 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.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 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (*.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 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.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 (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)) |
(* -11/15120 x) |
(*.f64 x #s(literal -11/15120 binary64)) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(* x (- (* -143/604800 (pow x 2)) 11/15120)) |
(*.f64 x (fma.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.f64 x x)) |
(/ -23/360 (pow x 2)) |
(/.f64 #s(literal -23/360 binary64) (*.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)) |
Compiled 75 430 to 3 670 computations (95.1% saved)
32 alts after pruning (24 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 919 | 11 | 1 930 |
| Fresh | 3 | 13 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 923 | 32 | 1 955 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 17.8% | (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
| 22.0% | (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 x (/.f64 x #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) | |
| 17.4% | (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)))) (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 26.6% | (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)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/6 binary64))))) | |
| ✓ | 99.2% | (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)))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 98.6% | (fma.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| 99.0% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))) | |
| ✓ | 86.3% | (/.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 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (tan.f64 x)) |
| 56.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 (tan.f64 x) x) #s(literal 1 binary64))) (*.f64 (/.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| ✓ | 56.2% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 99.0% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64))) (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))) | |
| ▶ | 98.9% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
| ▶ | 16.0% | (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64))) |
| 56.2% | (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) | |
| 99.0% | (*.f64 (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)) (*.f64 x x)) | |
| 86.2% | (*.f64 (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)) (/.f64 (*.f64 x (*.f64 x x)) (tan.f64 x))) | |
| 20.3% | (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 x #s(literal 6 binary64))) | |
| 25.3% | (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) #s(literal 6 binary64))) | |
| 86.3% | (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (*.f64 x (*.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)))) | |
| 56.2% | (*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x)) | |
| 24.2% | (*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) | |
| 86.3% | (*.f64 (*.f64 x (*.f64 x x)) (/.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)) (tan.f64 x))) | |
| ✓ | 97.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 99.0% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) | |
| 99.0% | (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64)) 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)))) | |
| ▶ | 99.0% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
| ✓ | 99.0% | (*.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)))) |
| ▶ | 98.7% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
| ✓ | 99.2% | (*.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)))) |
| ✓ | 25.3% | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))))) |
| ✓ | 97.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 83.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (*.f64 (*.f64 x (*.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))))) #s(literal -1 binary64))) |
Compiled 1 552 to 681 computations (56.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 1792 | (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 1664 | (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 2304 | (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 2944 | (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 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 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 1792 | (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| 13 076× | accelerator-lowering-fma.f32 |
| 13 076× | accelerator-lowering-fma.f64 |
| 4 510× | *-lowering-*.f32 |
| 4 510× | *-lowering-*.f64 |
| 2 724× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 854 |
| 1 | 171 | 670 |
| 2 | 709 | 624 |
| 3 | 3761 | 624 |
| 4 | 6496 | 624 |
| 0 | 8197 | 558 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))))) |
x |
(/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)))) |
(* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) |
(+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) |
(* (* x x) (+ (* x (* x -11/15120)) -23/360)) |
(* x x) |
(+ (* x (* x -11/15120)) -23/360) |
(* x -11/15120) |
-11/15120 |
-23/360 |
(* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) |
(* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))) |
1/216 |
(- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))) |
(+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) |
1/36 |
(* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)) |
(* (* x x) 1/6) |
1/6 |
(* x (* x (+ (* (* x x) -23/360) 1/6))) |
x |
(* x (+ (* (* x x) -23/360) 1/6)) |
(+ (* (* x x) -23/360) 1/6) |
(* x x) |
-23/360 |
1/6 |
(/ (* (* x x) (* x (* x (* x x)))) (* (* x (* x (* x x))) 6)) |
(* (* x x) (* x (* x (* x x)))) |
(* x x) |
x |
(* x (* x (* x x))) |
(* x (* x x)) |
(* (* x (* x (* x x))) 6) |
6 |
(+ (* (/ (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (/ 1/6 x)) (* (* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360)) (* x (* x x)))) |
(/ (* (* x x) (* x (* x (* x x)))) (* x (* x x))) |
(* (* x x) (* x (* x (* x x)))) |
(* x x) |
x |
(* x (* x (* x x))) |
(* x (* x x)) |
(/ 1/6 x) |
1/6 |
(* (* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360)) (* x (* x x))) |
(* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360)) |
(+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360) |
(* x (+ (* x (* x -143/604800)) -11/15120)) |
(+ (* x (* x -143/604800)) -11/15120) |
(* x -143/604800) |
-143/604800 |
-11/15120 |
-23/360 |
(/ (* (* x x) (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216)) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)))) |
(* (* x x) (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216)) |
(* x x) |
x |
(+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) |
(* (* x x) (+ (* x (* x -11/15120)) -23/360)) |
(+ (* x (* x -11/15120)) -23/360) |
(* x -11/15120) |
-11/15120 |
-23/360 |
(* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) |
(* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))) |
1/216 |
(- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))) |
(+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) |
1/36 |
(* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)) |
(* (* x x) 1/6) |
1/6 |
| Outputs |
|---|
(* x (/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) #s(literal 1/216 binary64))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 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))) #s(literal 1/36 binary64))) |
x |
(/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)))) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) #s(literal 1/216 binary64)) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 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))) #s(literal 1/36 binary64)))) |
(* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) #s(literal 1/216 binary64))) |
(+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) #s(literal 1/216 binary64)) |
(* (* x x) (+ (* x (* x -11/15120)) -23/360)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ (* x (* x -11/15120)) -23/360) |
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(* x -11/15120) |
(*.f64 x #s(literal -11/15120 binary64)) |
-11/15120 |
#s(literal -11/15120 binary64) |
-23/360 |
#s(literal -23/360 binary64) |
(* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
(* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
1/216 |
#s(literal 1/216 binary64) |
(- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 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))) #s(literal 1/36 binary64)) |
(+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/36 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
(* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) #s(literal 1/6 binary64) #s(literal -23/2160 binary64)))) |
(* (* x x) 1/6) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x (+ (* (* x x) -23/360) 1/6))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) |
x |
(* x (+ (* (* x x) -23/360) 1/6)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) |
(+ (* (* x x) -23/360) 1/6) |
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) |
(* x x) |
(*.f64 x x) |
-23/360 |
#s(literal -23/360 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(/ (* (* x x) (* x (* x (* x x)))) (* (* x (* x (* x x))) 6)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (* x x) (* x (* x (* x x)))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* (* x (* x (* x x))) 6) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6 binary64)))) |
6 |
#s(literal 6 binary64) |
(+ (* (/ (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (/ 1/6 x)) (* (* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360)) (* x (* x x)))) |
(*.f64 (*.f64 x 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))) |
(/ (* (* x x) (* x (* x (* x x)))) (* x (* x x))) |
(*.f64 x (*.f64 x x)) |
(* (* x x) (* x (* x (* x x)))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360)) (* x (* x x))) |
(*.f64 (*.f64 x (*.f64 x (*.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))) |
(* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360)) |
(*.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 (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360) |
(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 (+ (* x (* x -143/604800)) -11/15120)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) |
(+ (* x (* x -143/604800)) -11/15120) |
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) |
(* x -143/604800) |
(*.f64 x #s(literal -143/604800 binary64)) |
-143/604800 |
#s(literal -143/604800 binary64) |
-11/15120 |
#s(literal -11/15120 binary64) |
-23/360 |
#s(literal -23/360 binary64) |
(/ (* (* x x) (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216)) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) #s(literal 1/216 binary64))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 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))) #s(literal 1/36 binary64))) |
(* (* x x) (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) #s(literal 1/216 binary64))) |
(* x x) |
(*.f64 x x) |
x |
(+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) #s(literal 1/216 binary64)) |
(* (* x x) (+ (* x (* x -11/15120)) -23/360)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) |
(+ (* x (* x -11/15120)) -23/360) |
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) |
(* x -11/15120) |
(*.f64 x #s(literal -11/15120 binary64)) |
-11/15120 |
#s(literal -11/15120 binary64) |
-23/360 |
#s(literal -23/360 binary64) |
(* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))) |
(* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) |
1/216 |
#s(literal 1/216 binary64) |
(- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 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))) #s(literal 1/36 binary64)) |
(+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/36 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
(* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) #s(literal 1/6 binary64) #s(literal -23/2160 binary64)))) |
(* (* x x) 1/6) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/6 binary64) x) |
| ✓ | accuracy | 99.2% | (*.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))) |
| ✓ | accuracy | 86.8% | (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 19.8% | (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 19.2% | (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 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 | 99.9% | (*.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 | 99.7% | (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)) x) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
| 252.0ms | 256× | 0 | valid |
Compiled 870 to 49 computations (94.4% saved)
ival-mult: 190.0ms (85.1% of total)const: 17.0ms (7.6% of total)ival-div: 7.0ms (3.1% of total)ival-add: 7.0ms (3.1% of total)ival-sub: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)))> |
#<alt (* x (/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)))))> |
#<alt (/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))))> |
#<alt (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x)> |
#<alt (* x (* x (+ (* (* x x) -23/360) 1/6)))> |
#<alt (* x (+ (* (* x x) -23/360) 1/6))> |
#<alt (+ (* (* x x) -23/360) 1/6)> |
#<alt (* x x)> |
#<alt (/ (* (* x x) (* x (* x (* x x)))) (* (* x (* x (* x x))) 6))> |
#<alt (* (* x x) (* x (* x (* x x))))> |
#<alt (* x (* x (* x x)))> |
#<alt (/ (* (* x x) (* x (* x (* x x)))) (* x (* x x)))> |
#<alt (+ (* (/ (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (/ 1/6 x)) (* (* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360)) (* x (* x x))))> |
#<alt (/ (* (* x x) (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216)) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))))> |
#<alt (* (* x x) (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216))> |
#<alt (* (* x x) (+ (* x (* x -11/15120)) -23/360))> |
#<alt (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))> |
#<alt (* x (* x x))> |
#<alt (* (* x (* x (* x x))) 6)> |
#<alt (* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360))> |
#<alt (/ 1/6 x)> |
| Outputs |
|---|
#<alt 1/36> |
#<alt (+ 1/36 (* 23/2160 (pow x 2)))> |
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2)))))> |
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (pow x 2)))))))> |
#<alt (* 121/228614400 (pow x 8))> |
#<alt (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))> |
#<alt (* 121/228614400 (pow x 8))> |
#<alt (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 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) (- (* -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 (* 1/216 x)> |
#<alt (* x (+ 1/216 (* -12167/46656000 (pow x 6))))> |
#<alt (* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))> |
#<alt (* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000))))> |
#<alt (* -1331/3456649728000 (pow x 13))> |
#<alt (* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 13) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))> |
#<alt (* (pow x 13) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))> |
#<alt (* -1331/3456649728000 (pow x 13))> |
#<alt (* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (* 2783/27433728000 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (+ (* 2783/27433728000 (/ 1 (pow x 2))) (* 12167/46656000 (/ 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 (* -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 (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 (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<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 (* 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 (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 (* 1/216 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))> |
#<alt (* (pow x 2) (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))> |
#<alt (* (pow x 2) (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000))))> |
#<alt (* -1331/3456649728000 (pow x 14))> |
#<alt (* -1 (* (pow x 14) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))> |
#<alt (* -1331/3456649728000 (pow x 14))> |
#<alt (* -1 (* (pow x 14) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))> |
#<alt (* (pow x 14) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))> |
#<alt (* -23/360 (pow x 2))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))> |
#<alt (* (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 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (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 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))> |
#<alt (* -23/2160 (pow x 2))> |
#<alt (* (pow x 2) (- (* -11/90720 (pow x 2)) 23/2160))> |
#<alt (* (pow x 2) (- (* -11/90720 (pow x 2)) 23/2160))> |
#<alt (* (pow x 2) (- (* -11/90720 (pow x 2)) 23/2160))> |
#<alt (* -11/90720 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2))))))> |
#<alt (* -11/90720 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2))))))> |
#<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 (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (pow x 4))> |
#<alt (* 6 (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 (/ 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)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | 0 | (/ (* (* x x) (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216)) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)))) |
| 1.0ms | x | @ | inf | (* x (/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))))) |
| 1.0ms | x | @ | 0 | (* x (/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))))) |
| 0.0ms | x | @ | inf | (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))) |
| 0.0ms | x | @ | inf | (* x (* x (+ (* (* x x) -23/360) 1/6))) |
| 1× | batch-egg-rewrite |
| 4 602× | *-lowering-*.f32 |
| 4 602× | *-lowering-*.f64 |
| 4 308× | accelerator-lowering-fma.f32 |
| 4 308× | accelerator-lowering-fma.f64 |
| 3 806× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 505 |
| 1 | 311 | 343 |
| 2 | 2756 | 327 |
| 0 | 8506 | 291 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))) |
(* x (/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6))))) |
(/ (* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)))) |
(* (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216) x) |
(* x (* x (+ (* (* x x) -23/360) 1/6))) |
(* x (+ (* (* x x) -23/360) 1/6)) |
(+ (* (* x x) -23/360) 1/6) |
(* x x) |
(/ (* (* x x) (* x (* x (* x x)))) (* (* x (* x (* x x))) 6)) |
(* (* x x) (* x (* x (* x x)))) |
(* x (* x (* x x))) |
(/ (* (* x x) (* x (* x (* x x)))) (* x (* x x))) |
(+ (* (/ (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (/ 1/6 x)) (* (* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360)) (* x (* x x)))) |
(/ (* (* x x) (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216)) (- (+ (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360)))) 1/36) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)))) |
(* (* x x) (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* (+ (* x (* x -11/15120)) -23/360) (* (* x x) (* (* x x) (+ (* x (* x -11/15120)) -23/360))))) 1/216)) |
(* (* x x) (+ (* x (* x -11/15120)) -23/360)) |
(* (+ (* x (* x -11/15120)) -23/360) (* (* x x) 1/6)) |
(* x (* x x)) |
(* (* x (* x (* x x))) 6) |
(* x (+ (* x (* x (+ (* x (* x -143/604800)) -11/15120))) -23/360)) |
(/ 1/6 x) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(+.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal -1/6 binary64)))) |
(+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/36 binary64))) |
(+.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal -23/360 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))) (*.f64 x #s(literal -23/360 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 (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 -12167/46656000 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) #s(literal 529/129600 binary64)) (*.f64 x (*.f64 (*.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) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) #s(literal -529/129600 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 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 (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 -12167/46656000 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) #s(literal 529/129600 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) #s(literal -529/129600 binary64)) 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 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 (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 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal -23/360 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))) (*.f64 x #s(literal -23/360 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal -23/360 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))) (*.f64 x #s(literal -23/360 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 (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 -12167/46656000 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) #s(literal 529/129600 binary64)) (*.f64 x (*.f64 (*.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 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) #s(literal -529/129600 binary64)))) (neg.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 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 (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 -12167/46656000 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) #s(literal 529/129600 binary64)) (*.f64 x (*.f64 (*.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 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))) #s(literal -529/129600 binary64)) x)) (neg.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 (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)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) x)) |
(/.f64 #s(literal 1/6 binary64) x) |
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1/6 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 6 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) |
| 1× | egg-herbie |
| 13 600× | accelerator-lowering-fma.f32 |
| 13 600× | accelerator-lowering-fma.f64 |
| 4 890× | *-lowering-*.f32 |
| 4 890× | *-lowering-*.f64 |
| 3 258× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 2118 |
| 1 | 602 | 2118 |
| 2 | 1793 | 2086 |
| 3 | 4743 | 2078 |
| 0 | 8373 | 2007 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/36 |
(+ 1/36 (* 23/2160 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (pow x 2))))))) |
(* 121/228614400 (pow x 8)) |
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6))))))) |
(* 121/228614400 (pow x 8)) |
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 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) (- (* -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))))) |
(* 1/216 x) |
(* x (+ 1/216 (* -12167/46656000 (pow x 6)))) |
(* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000)))) |
(* -1331/3456649728000 (pow x 13)) |
(* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(* (pow x 13) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000)) |
(* (pow x 13) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(* -1331/3456649728000 (pow x 13)) |
(* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (* 2783/27433728000 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (+ (* 2783/27433728000 (/ 1 (pow x 2))) (* 12167/46656000 (/ 1 (pow x 6)))))))) |
(* 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)) |
(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)) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(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) |
(* 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 (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)))))) |
(* 1/216 (pow x 2)) |
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6)))) |
(* (pow x 2) (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))) |
(* (pow x 2) (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000)))) |
(* -1331/3456649728000 (pow x 14)) |
(* -1 (* (pow x 14) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(* (pow x 14) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000)) |
(* (pow x 14) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(* -1331/3456649728000 (pow x 14)) |
(* -1 (* (pow x 14) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(* (pow x 14) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000)) |
(* (pow x 14) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(* -23/360 (pow x 2)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) |
(* (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)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (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)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(* -23/2160 (pow x 2)) |
(* (pow x 2) (- (* -11/90720 (pow x 2)) 23/2160)) |
(* (pow x 2) (- (* -11/90720 (pow x 2)) 23/2160)) |
(* (pow x 2) (- (* -11/90720 (pow x 2)) 23/2160)) |
(* -11/90720 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2)))))) |
(* -11/90720 (pow x 4)) |
(* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2)))))) |
(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) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (pow x 4)) |
(* 6 (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))))))) |
(/ 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) |
| Outputs |
|---|
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 23/2160 (pow x 2))) |
(fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1271/302400 binary64)) #s(literal 23/2160 binary64)) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 253/2721600 binary64) #s(literal 1271/302400 binary64)) #s(literal 23/2160 binary64)) #s(literal 1/36 binary64)) |
(* 121/228614400 (pow x 8)) |
(*.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x))) (/.f64 #s(literal 1271/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1271/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 23/2160 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 121/228614400 (pow x 8)) |
(*.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x)))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x))) (/.f64 #s(literal 1271/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1271/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 23/2160 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #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 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (*.f64 x 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) (- (* -11/15120 (pow x 2)) 23/360)))) |
(*.f64 (*.f64 x 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))) |
(* -11/15120 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (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 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.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 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* -11/15120 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)) |
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (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 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.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 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(* 1/6 x) |
(*.f64 x #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 (* (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) (- (* -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))) |
(* -11/15120 (pow x 5)) |
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* -11/15120 (pow x 5)) |
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/216 x) |
(*.f64 x #s(literal 1/216 binary64)) |
(* x (+ 1/216 (* -12167/46656000 (pow x 6)))) |
(fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 x #s(literal 1/216 binary64))) |
(* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -5819/653184000 binary64)) #s(literal -12167/46656000 binary64)) (pow.f64 x #s(literal 7 binary64)) (*.f64 x #s(literal 1/216 binary64))) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2783/27433728000 binary64)) #s(literal -5819/653184000 binary64))) #s(literal -12167/46656000 binary64)) (pow.f64 x #s(literal 7 binary64)) (*.f64 x #s(literal 1/216 binary64))) |
(* -1331/3456649728000 (pow x 13)) |
(*.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 13 binary64))) |
(* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -1331/3456649728000 binary64) (/.f64 #s(literal -2783/27433728000 binary64) (*.f64 x x)))) |
(* (pow x 13) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000)) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -1331/3456649728000 binary64) (/.f64 (-.f64 #s(literal -2783/27433728000 binary64) (/.f64 #s(literal 5819/653184000 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 13) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -1331/3456649728000 binary64) (+.f64 (/.f64 (+.f64 #s(literal -5819/653184000 binary64) (/.f64 #s(literal -12167/46656000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -2783/27433728000 binary64) (*.f64 x x))))) |
(* -1331/3456649728000 (pow x 13)) |
(*.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 13 binary64))) |
(* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -1331/3456649728000 binary64) (/.f64 #s(literal -2783/27433728000 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (* 2783/27433728000 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 #s(literal -2783/27433728000 binary64) (*.f64 x x)) (+.f64 #s(literal -1331/3456649728000 binary64) (/.f64 #s(literal -5819/653184000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (+ (* 2783/27433728000 (/ 1 (pow x 2))) (* 12167/46656000 (/ 1 (pow x 6)))))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (+.f64 #s(literal -1331/3456649728000 binary64) (/.f64 #s(literal -2783/27433728000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -5819/653184000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #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)))) |
(* (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 x (*.f64 x (*.f64 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 x (*.f64 x (*.f64 x (*.f64 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 x #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))) |
(* 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 x (*.f64 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 x (*.f64 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))) |
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(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) |
(* 6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 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 (pow.f64 x #s(literal 5 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 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 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) |
(*.f64 (pow.f64 x #s(literal 5 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 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -143/604800 binary64)) |
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 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 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 5 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 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) |
Compiled 170 508 to 5 819 computations (96.6% saved)
31 alts after pruning (24 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 767 | 12 | 2 779 |
| Fresh | 7 | 12 | 19 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 7 | 8 |
| Total | 2 780 | 31 | 2 811 |
| Status | Accuracy | Program |
|---|---|---|
| 17.8% | (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) | |
| 22.0% | (fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) | |
| 17.4% | (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)))) (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 26.6% | (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)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/6 binary64))))) | |
| ✓ | 99.2% | (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)))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 22.0% | (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.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)))) | |
| 98.6% | (fma.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| 98.7% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) | |
| ✓ | 86.3% | (/.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 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (tan.f64 x)) |
| 56.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 (tan.f64 x) x) #s(literal 1 binary64))) (*.f64 (/.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| ✓ | 56.2% | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| 98.6% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) | |
| 97.9% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) | |
| 97.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) | |
| 56.2% | (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) | |
| 99.0% | (*.f64 (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)) (*.f64 x x)) | |
| 86.2% | (*.f64 (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)) (/.f64 (*.f64 x (*.f64 x x)) (tan.f64 x))) | |
| 98.6% | (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) | |
| 26.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) | |
| 86.3% | (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (*.f64 x (*.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)))) | |
| 84.7% | (*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x x))) | |
| 56.2% | (*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x)) | |
| 27.2% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) | |
| 86.3% | (*.f64 (*.f64 x (*.f64 x x)) (/.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)) (tan.f64 x))) | |
| ✓ | 97.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 99.0% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) | |
| 98.7% | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) | |
| ✓ | 99.0% | (*.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)))) |
| ✓ | 99.2% | (*.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)))) |
| ✓ | 97.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 83.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (*.f64 (*.f64 x (*.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))))) #s(literal -1 binary64))) |
Compiled 1 929 to 568 computations (70.6% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(/.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 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #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 (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)) (*.f64 x x)) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 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)))) |
(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)))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) #s(literal 6 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 x #s(literal 6 binary64))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.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 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64)) 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)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64))) (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))) |
(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)))) (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(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)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 x (/.f64 x #s(literal 1/6 binary64))) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.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))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (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)) (tan.f64 x)) (*.f64 x (*.f64 x x))) |
(*.f64 (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)) (/.f64 (*.f64 x (*.f64 x x)) (tan.f64 x))) |
(/.f64 (*.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))) (tan.f64 x)) |
(/.f64 (-.f64 x (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)) (tan.f64 x)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (/.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)) (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 #s(literal 1 binary64) (tan.f64 x)) (*.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 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (*.f64 x (*.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 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 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 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (tan.f64 x)) |
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (*.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)))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (*.f64 (*.f64 x (*.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))))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 (tan.f64 x) x) #s(literal 1 binary64))) (*.f64 (/.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (cos.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:
| 14.0ms | x |
| 11.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 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 (*.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 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #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 (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)) (*.f64 x x)) |
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.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)
| Inputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(/.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 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #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 (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)) (*.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 |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 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 (*.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 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) |
2 calls:
| 16.0ms | x |
| 2.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 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 (*.f64 x x) #s(literal 6 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 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 |
|---|---|---|
| 97.8% | 1 | x |
| 97.8% | 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 |
|---|---|---|
| 97.8% | 1 | x |
| 97.8% | 1 | (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 77 |
| 1 | 44 | 77 |
| 1× | saturated |
| 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 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #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 (*.f64 x 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 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 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #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 (*.f64 x 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)) |
| 18 358× | accelerator-lowering-fma.f32 |
| 18 358× | accelerator-lowering-fma.f64 |
| 6 736× | accelerator-lowering-fma.f32 |
| 6 736× | accelerator-lowering-fma.f64 |
| 5 672× | accelerator-lowering-fma.f32 |
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 | 44 | 303 |
| 1 | 280 | 261 |
| 2 | 2571 | 253 |
| 0 | 8763 | 225 |
| 0 | 47 | 505 |
| 1 | 311 | 343 |
| 2 | 2756 | 327 |
| 0 | 8506 | 291 |
| 0 | 45 | 287 |
| 1 | 302 | 287 |
| 2 | 2488 | 287 |
| 0 | 8596 | 251 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 177 to 92 computations (48% saved)
(abs x)
Compiled 310 to 156 computations (49.7% saved)
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