
Time bar (total: 11.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 10 to 9 computations (10% saved)
| 419.0ms | 8 256× | 0 | valid |
ival-exp: 119.0ms (43.7% of total)ival-div: 68.0ms (25% of total)ival-add: 39.0ms (14.3% of total)ival-neg: 33.0ms (12.1% of total)ival-true: 6.0ms (2.2% of total)exact: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% of total)| 2× | egg-herbie |
| 48× | sub-neg |
| 28× | distribute-lft-neg-in |
| 28× | cancel-sign-sub-inv |
| 22× | associate-+l- |
| 18× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 30 | 24 |
| 2 | 59 | 24 |
| 3 | 102 | 24 |
| 4 | 139 | 24 |
| 5 | 183 | 24 |
| 6 | 211 | 24 |
| 7 | 219 | 24 |
| 8 | 225 | 24 |
| 9 | 235 | 24 |
| 10 | 243 | 24 |
| 0 | 7 | 8 |
| 1 | 14 | 8 |
| 2 | 20 | 8 |
| 3 | 24 | 8 |
| 4 | 28 | 8 |
| 5 | 34 | 8 |
| 6 | 41 | 8 |
| 7 | 45 | 8 |
| 8 | 47 | 8 |
| 9 | 48 | 8 |
| 0 | 48 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
| Outputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
| Inputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
(/ 2 (+ (exp (neg x)) (exp (neg (neg x))))) |
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))) |
| Outputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
(/ 2 (+ (exp (neg x)) (exp (neg (neg x))))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))) |
(/ -2 (+ (exp x) (exp (neg x)))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 1 | (622.9669813358317) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-exp: 7.0ms (40.9% of total)ival-add: 4.0ms (23.4% of total)ival-div: 3.0ms (17.5% of total)ival-neg: 2.0ms (11.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 16× | *-lowering-*.f32 |
| 16× | *-lowering-*.f64 |
| 12× | +-lowering-+.f64 |
| 12× | +-lowering-+.f32 |
| 12× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 14 | 23 |
| 2 | 20 | 23 |
| 3 | 24 | 23 |
| 4 | 28 | 23 |
| 5 | 34 | 23 |
| 6 | 41 | 23 |
| 7 | 45 | 23 |
| 8 | 47 | 23 |
| 9 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
2 |
(+ (exp x) (exp (neg x))) |
(exp x) |
x |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
2 |
#s(literal 2 binary64) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(exp x) |
(exp.f64 x) |
x |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 14.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-exp: 4.0ms (51% of total)ival-div: 2.0ms (25.5% of total)ival-add: 1.0ms (12.8% of total)ival-neg: 1.0ms (12.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 2 (+ (exp x) (exp (neg x))))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (exp x)> |
#<alt (exp (neg x))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (/ 2 (+ (exp x) (exp (neg x))))> |
#<alt (/ 2 (+ (exp x) (exp (neg x))))> |
#<alt (/ 2 (+ (exp x) (exp (neg x))))> |
#<alt (/ 2 (+ (exp x) (exp (neg x))))> |
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))> |
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))> |
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))> |
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (+ (exp x) (exp (* -1 x)))> |
#<alt (+ (exp x) (exp (* -1 x)))> |
#<alt (+ (exp x) (exp (* -1 x)))> |
#<alt (+ (exp x) (exp (* -1 x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ 2 (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | inf | (/ 2 (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | 0 | (/ 2 (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | 0 | (+ (exp x) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (exp x) |
| 1× | batch-egg-rewrite |
| 5 044× | /-lowering-/.f32 |
| 5 044× | /-lowering-/.f64 |
| 4 012× | *-lowering-*.f32 |
| 4 012× | *-lowering-*.f64 |
| 2 444× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 37 | 13 |
| 2 | 252 | 13 |
| 3 | 2361 | 13 |
| 0 | 9050 | 13 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
(+ (exp x) (exp (neg x))) |
(exp x) |
(exp (neg x)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (exp.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) |
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(-.f64 (/.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))) |
(fma.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (exp.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))) |
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(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal -3 binary64)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x))) |
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (exp.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) x)) (exp.f64 x)) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -3 binary64)))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 15 580× | accelerator-lowering-fma.f32 |
| 15 580× | accelerator-lowering-fma.f64 |
| 3 668× | *-lowering-*.f32 |
| 3 668× | *-lowering-*.f64 |
| 2 386× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 283 |
| 1 | 162 | 282 |
| 2 | 359 | 278 |
| 3 | 921 | 278 |
| 4 | 1406 | 278 |
| 5 | 2068 | 278 |
| 6 | 3397 | 278 |
| 7 | 4663 | 278 |
| 8 | 5970 | 278 |
| 9 | 7535 | 278 |
| 0 | 8007 | 256 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (neg x))) |
(+ (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
(+ (exp x) (exp (* -1 x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
Compiled 8 584 to 1 384 computations (83.9% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 429 | 11 | 440 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 430 | 11 | 441 |
| Status | Accuracy | Program |
|---|---|---|
| 53.3% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 53.3% | (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) | |
| 53.1% | (fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) | |
| 53.1% | (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) | |
| ▶ | 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ▶ | 86.9% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
| ▶ | 76.6% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| ▶ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (neg.f64 x)))) |
| 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) | |
| 53.0% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) | |
| ▶ | 53.3% | #s(literal 1 binary64) |
Compiled 266 to 176 computations (33.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (exp.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (neg.f64 x)))) |
| ✓ | cost-diff | 896 | (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
| 5 112× | accelerator-lowering-fma.f32 |
| 5 112× | accelerator-lowering-fma.f64 |
| 1 572× | *-lowering-*.f32 |
| 1 572× | *-lowering-*.f64 |
| 1 072× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 184 |
| 1 | 102 | 178 |
| 2 | 253 | 168 |
| 3 | 737 | 168 |
| 4 | 2667 | 168 |
| 5 | 3586 | 168 |
| 6 | 4252 | 168 |
| 7 | 4478 | 168 |
| 8 | 4523 | 168 |
| 9 | 4575 | 168 |
| 10 | 4695 | 168 |
| 11 | 4745 | 168 |
| 12 | 4767 | 168 |
| 13 | 4777 | 168 |
| 14 | 4777 | 168 |
| 15 | 4777 | 168 |
| 16 | 4777 | 168 |
| 17 | 4858 | 168 |
| 18 | 4862 | 168 |
| 19 | 4863 | 168 |
| 0 | 4863 | 150 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 2 (+ (/ 1 (exp (- 0 x))) (exp (neg x)))) |
2 |
(+ (/ 1 (exp (- 0 x))) (exp (neg x))) |
(/ 1 (exp (- 0 x))) |
1 |
(exp (- 0 x)) |
(- 0 x) |
0 |
x |
(exp (neg x)) |
(neg x) |
1 |
(/ 2 (+ (* x x) 2)) |
2 |
(+ (* x x) 2) |
x |
(/ 2 (+ (* x (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0)) 2)) |
2 |
(+ (* x (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0)) 2) |
x |
(+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0) |
(+ (* (+ (* x x) 0) 1/12) 1) |
(+ (* x x) 0) |
0 |
1/12 |
1 |
(/ 2 (+ (* (+ (* x x) 0) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2)) |
2 |
(+ (* (+ (* x x) 0) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2) |
(+ (* x x) 0) |
x |
0 |
(+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1) |
(+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0) |
(+ (* x (+ (* x 1/360) 0)) 1/12) |
(+ (* x 1/360) 0) |
1/360 |
1/12 |
1 |
| Outputs |
|---|
(/ 2 (+ (/ 1 (exp (- 0 x))) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
2 |
#s(literal 2 binary64) |
(+ (/ 1 (exp (- 0 x))) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(/ 1 (exp (- 0 x))) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(exp (- 0 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
1 |
#s(literal 1 binary64) |
(/ 2 (+ (* x x) 2)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* x x) 2) |
(fma.f64 x x #s(literal 2 binary64)) |
x |
(/ 2 (+ (* x (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0)) 2)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* x (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0)) 2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
x |
(+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) 1/12) 1) |
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
1/12 |
#s(literal 1/12 binary64) |
1 |
#s(literal 1 binary64) |
(/ 2 (+ (* (+ (* x x) 0) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* (+ (* x x) 0) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 0 binary64)) |
(+ (* x (+ (* x 1/360) 0)) 1/12) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(+ (* x 1/360) 0) |
(fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
1 |
#s(literal 1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (neg.f64 x)))) |
| 51.0ms | 137× | 0 | valid |
| 34.0ms | 119× | 0 | exit |
Compiled 197 to 37 computations (81.2% saved)
ival-mult: 13.0ms (29% of total)ival-add: 12.0ms (26.8% of total)ival-div: 7.0ms (15.6% of total)const: 7.0ms (15.6% of total)ival-exp: 3.0ms (6.7% of total)ival-sub: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (exp (- 0 x)))> |
#<alt (/ 2 (+ (/ 1 (exp (- 0 x))) (exp (neg x))))> |
#<alt (+ (/ 1 (exp (- 0 x))) (exp (neg x)))> |
#<alt (exp (- 0 x))> |
#<alt (/ 2 (+ (* x x) 2))> |
#<alt (+ (* x x) 2)> |
#<alt (/ 2 (+ (* x (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0)) 2))> |
#<alt (+ (* x (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0)) 2)> |
#<alt (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0)> |
#<alt (+ (* (+ (* x x) 0) 1/12) 1)> |
#<alt (/ 2 (+ (* (+ (* x x) 0) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2))> |
#<alt (+ (* (+ (* x x) 0) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2)> |
#<alt (+ (* x x) 0)> |
#<alt (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)> |
#<alt (exp (neg x))> |
#<alt (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)> |
#<alt (+ (* x 1/360) 0)> |
#<alt (+ (* x (+ (* x 1/360) 0)) 1/12)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (/ 1 (exp (neg x)))> |
#<alt (/ 1 (exp (neg x)))> |
#<alt (/ 1 (exp (neg x)))> |
#<alt (/ 1 (exp (neg x)))> |
#<alt (/ 1 (exp (* -1 x)))> |
#<alt (/ 1 (exp (* -1 x)))> |
#<alt (/ 1 (exp (* -1 x)))> |
#<alt (/ 1 (exp (* -1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x)))))> |
#<alt (/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x)))))> |
#<alt (/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x)))))> |
#<alt (/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x)))))> |
#<alt (/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))))> |
#<alt (/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))))> |
#<alt (/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))))> |
#<alt (/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))> |
#<alt (+ (exp (neg x)) (/ 1 (exp (neg x))))> |
#<alt (+ (exp (neg x)) (/ 1 (exp (neg x))))> |
#<alt (+ (exp (neg x)) (/ 1 (exp (neg x))))> |
#<alt (+ (exp (neg x)) (/ 1 (exp (neg x))))> |
#<alt (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))> |
#<alt (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))> |
#<alt (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))> |
#<alt (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<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> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | inf | (/ 2 (+ (/ 1 (exp (- 0 x))) (exp (neg x)))) |
| 2.0ms | x | @ | inf | (/ 2 (+ (* (+ (* x x) 0) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2)) |
| 1.0ms | x | @ | -inf | (/ 2 (+ (/ 1 (exp (- 0 x))) (exp (neg x)))) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0) |
| 1× | batch-egg-rewrite |
| 6 158× | accelerator-lowering-fma.f32 |
| 6 158× | accelerator-lowering-fma.f64 |
| 4 774× | /-lowering-/.f32 |
| 4 774× | /-lowering-/.f64 |
| 4 558× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 159 |
| 1 | 273 | 145 |
| 2 | 2616 | 141 |
| 0 | 8946 | 123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (exp (- 0 x))) |
(/ 2 (+ (/ 1 (exp (- 0 x))) (exp (neg x)))) |
(+ (/ 1 (exp (- 0 x))) (exp (neg x))) |
(exp (- 0 x)) |
(/ 2 (+ (* x x) 2)) |
(+ (* x x) 2) |
(/ 2 (+ (* x (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0)) 2)) |
(+ (* x (+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0)) 2) |
(+ (* x (+ (* (+ (* x x) 0) 1/12) 1)) 0) |
(+ (* (+ (* x x) 0) 1/12) 1) |
(/ 2 (+ (* (+ (* x x) 0) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2)) |
(+ (* (+ (* x x) 0) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2) |
(+ (* x x) 0) |
(+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1) |
(exp (neg x)) |
(+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0) |
(+ (* x 1/360) 0) |
(+ (* x (+ (* x 1/360) 0)) 1/12) |
| Outputs |
|---|
(exp.f64 x) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal 1/144 binary64)) (*.f64 #s(literal 1/12 binary64) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/129600 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal 1/144 binary64)) (*.f64 #s(literal 1/12 binary64) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal -1/12 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal -1/144 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal 1/144 binary64)) (*.f64 #s(literal 1/12 binary64) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal -1/12 binary64)))) |
| 1× | egg-herbie |
| 10 548× | accelerator-lowering-fma.f32 |
| 10 548× | accelerator-lowering-fma.f64 |
| 4 608× | *-lowering-*.f32 |
| 4 608× | *-lowering-*.f64 |
| 2 700× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 1696 |
| 1 | 505 | 1620 |
| 2 | 1166 | 1604 |
| 3 | 4716 | 1596 |
| 0 | 8736 | 1470 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(/ 1 (exp (neg x))) |
(/ 1 (exp (neg x))) |
(/ 1 (exp (neg x))) |
(/ 1 (exp (neg x))) |
(/ 1 (exp (* -1 x))) |
(/ 1 (exp (* -1 x))) |
(/ 1 (exp (* -1 x))) |
(/ 1 (exp (* -1 x))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x))))) |
(/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x))))) |
(/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x))))) |
(/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x))))) |
(/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(+ (exp (neg x)) (/ 1 (exp (neg x)))) |
(+ (exp (neg x)) (/ 1 (exp (neg x)))) |
(+ (exp (neg x)) (/ 1 (exp (neg x)))) |
(+ (exp (neg x)) (/ 1 (exp (neg x)))) |
(+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))) |
(+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))) |
(+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))) |
(+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2))) |
(/ 2 (pow x 2)) |
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2)) |
(/ 2 (pow x 2)) |
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (pow x 2)) |
(+ 2 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2))) |
(/ 24 (pow x 4)) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4)) |
(/ 24 (pow x 4)) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/12 (pow x 2))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 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) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ 1 (exp (neg x))) |
(exp.f64 x) |
(/ 1 (exp (neg x))) |
(exp.f64 x) |
(/ 1 (exp (neg x))) |
(exp.f64 x) |
(/ 1 (exp (neg x))) |
(exp.f64 x) |
(/ 1 (exp (* -1 x))) |
(exp.f64 x) |
(/ 1 (exp (* -1 x))) |
(exp.f64 x) |
(/ 1 (exp (* -1 x))) |
(exp.f64 x) |
(/ 1 (exp (* -1 x))) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x))) |
(/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x))) |
(/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x))) |
(/ 2 (+ (exp (neg x)) (/ 1 (exp (neg x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x))) |
(/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x))) |
(/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x))) |
(/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x))) |
(/ 2 (+ (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ (exp (neg x)) (/ 1 (exp (neg x)))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) |
(+ (exp (neg x)) (/ 1 (exp (neg x)))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) |
(+ (exp (neg x)) (/ 1 (exp (neg x)))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) |
(+ (exp (neg x)) (/ 1 (exp (neg x)))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) |
(+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) |
(+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) |
(+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) |
(+ (exp (* -1 x)) (/ 1 (exp (* -1 x)))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal -27648 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal -27648 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(* 1/12 (pow x 4)) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* 1/12 (pow x 3)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* 1/12 (pow x 3)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/360 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) |
(* 1/360 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) |
(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 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* 1/360 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* 1/360 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
Compiled 60 260 to 5 972 computations (90.1% saved)
37 alts after pruning (35 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 594 | 32 | 1 626 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 600 | 37 | 1 637 |
| Status | Accuracy | Program |
|---|---|---|
| 53.3% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| ▶ | 53.3% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 53.3% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| ▶ | 53.1% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 39.5% | (/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 53.1% | (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) | |
| 41.1% | (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 36.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 86.9% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) | |
| 42.8% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) #s(literal 1/129600 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 41.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 41.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) x) (/.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 90.7% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 2 binary64))) | |
| 25.5% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))) | |
| 43.2% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 2 binary64))) | |
| 40.4% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 25.2% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) x) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| ▶ | 42.8% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ▶ | 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| 86.9% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) | |
| 86.9% | (/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) | |
| ✓ | 76.6% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| 98.4% | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) | |
| 40.7% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 40.8% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) | |
| 36.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) | |
| 36.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) | |
| 26.6% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) | |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 60.6% | (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))) | |
| 53.0% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) | |
| 76.6% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| ✓ | 53.3% | #s(literal 1 binary64) |
Compiled 1 481 to 788 computations (46.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 x (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1408 | (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 6 406× | accelerator-lowering-fma.f32 |
| 6 406× | accelerator-lowering-fma.f64 |
| 3 536× | *-lowering-*.f32 |
| 3 536× | *-lowering-*.f64 |
| 1 736× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 244 |
| 1 | 163 | 240 |
| 2 | 552 | 230 |
| 3 | 2183 | 230 |
| 4 | 5123 | 230 |
| 5 | 5852 | 230 |
| 6 | 7072 | 230 |
| 0 | 8020 | 203 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cosh x)) |
1 |
(cosh x) |
x |
(+ (* x (* x -1/2)) 1) |
x |
(* x -1/2) |
-1/2 |
1 |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -61/720) 5/24))) -1/2)) 1) |
(* x x) |
x |
(+ (* x (* x (+ (* (* x x) -61/720) 5/24))) -1/2) |
(* x (+ (* (* x x) -61/720) 5/24)) |
(+ (* (* x x) -61/720) 5/24) |
-61/720 |
5/24 |
-1/2 |
1 |
(/ 2 (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)) |
2 |
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) |
(* x x) |
x |
(+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) |
(+ (* (* x x) 1/360) 1/12) |
1/360 |
1/12 |
1 |
(/ 2 (+ (* (* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0))) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2)) |
2 |
(+ (* (* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0))) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2) |
(* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0))) |
(/ (* x (+ (* x x) 0)) 1) |
(* x (+ (* x x) 0)) |
x |
(+ (* x x) 0) |
0 |
1 |
(/ x (+ (* x x) 0)) |
(+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1) |
(+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0) |
(+ (* x (+ (* x 1/360) 0)) 1/12) |
(+ (* x 1/360) 0) |
1/360 |
1/12 |
| Outputs |
|---|
(/ 1 (cosh x)) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
1 |
#s(literal 1 binary64) |
(cosh x) |
(cosh.f64 x) |
x |
(+ (* x (* x -1/2)) 1) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/2) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -61/720) 5/24))) -1/2)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(+ (* x (* x (+ (* (* x x) -61/720) 5/24))) -1/2) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* x (+ (* (* x x) -61/720) 5/24)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(+ (* (* x x) -61/720) 5/24) |
(fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) |
-61/720 |
#s(literal -61/720 binary64) |
5/24 |
#s(literal 5/24 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(/ 2 (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(+ (* (* x x) 1/360) 1/12) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
1 |
#s(literal 1 binary64) |
(/ 2 (+ (* (* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0))) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* (* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0))) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0))) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ (* x (+ (* x x) 0)) 1) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* x x) 0)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(/ x (+ (* x x) 0)) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 0 binary64)) |
(+ (* x (+ (* x 1/360) 0)) 1/12) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(+ (* x 1/360) 0) |
(fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) |
| ✓ | accuracy | 84.6% | (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | accuracy | 53.6% | (/.f64 x (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 74.0ms | 244× | 0 | valid |
| 5.0ms | 4× | 4 | valid |
| 4.0ms | 4× | 3 | valid |
| 2.0ms | 3× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 271 to 47 computations (82.7% saved)
ival-mult: 25.0ms (37.3% of total)ival-add: 14.0ms (20.9% of total)const: 13.0ms (19.4% of total)ival-div: 9.0ms (13.4% of total)adjust: 3.0ms (4.5% of total)ival-cosh: 3.0ms (4.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (cosh x))> |
#<alt (cosh x)> |
#<alt (+ (* x (* x -1/2)) 1)> |
#<alt (* x -1/2)> |
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -61/720) 5/24))) -1/2)) 1)> |
#<alt (+ (* x (* x (+ (* (* x x) -61/720) 5/24))) -1/2)> |
#<alt (+ (* (* x x) -61/720) 5/24)> |
#<alt (* x x)> |
#<alt (/ 2 (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2))> |
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)> |
#<alt (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)> |
#<alt (+ (* (* x x) 1/360) 1/12)> |
#<alt (* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0)))> |
#<alt (/ (* x (+ (* x x) 0)) 1)> |
#<alt (/ x (+ (* x x) 0))> |
#<alt (/ 2 (+ (* (* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0))) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2))> |
#<alt (* x (+ (* (* x x) -61/720) 5/24))> |
#<alt (+ (* x 1/360) 0)> |
#<alt (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt -1/2> |
#<alt (- (* 5/24 (pow x 2)) 1/2)> |
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)> |
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)> |
#<alt (* -61/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -61/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt 5/24> |
#<alt (+ 5/24 (* -61/720 (pow x 2)))> |
#<alt (+ 5/24 (* -61/720 (pow x 2)))> |
#<alt (+ 5/24 (* -61/720 (pow x 2)))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<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> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (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 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (* 5/24 x)> |
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* -61/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* -61/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | (/ 1 (cosh x)) |
| 3.0ms | x | @ | 0 | (* x (+ (* (* x x) -61/720) 5/24)) |
| 1.0ms | x | @ | inf | (/ 1 (cosh x)) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -61/720) 5/24))) -1/2)) 1) |
| 0.0ms | x | @ | -inf | (/ (* x (+ (* x x) 0)) 1) |
| 1× | batch-egg-rewrite |
| 4 924× | accelerator-lowering-fma.f32 |
| 4 924× | accelerator-lowering-fma.f64 |
| 4 020× | *-lowering-*.f32 |
| 4 020× | *-lowering-*.f64 |
| 3 782× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 173 |
| 1 | 364 | 165 |
| 2 | 3372 | 163 |
| 0 | 8976 | 142 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cosh x)) |
(cosh x) |
(+ (* x (* x -1/2)) 1) |
(* x -1/2) |
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -61/720) 5/24))) -1/2)) 1) |
(+ (* x (* x (+ (* (* x x) -61/720) 5/24))) -1/2) |
(+ (* (* x x) -61/720) 5/24) |
(* x x) |
(/ 2 (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)) |
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) |
(+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) |
(+ (* (* x x) 1/360) 1/12) |
(* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0))) |
(/ (* x (+ (* x x) 0)) 1) |
(/ x (+ (* x x) 0)) |
(/ 2 (+ (* (* (/ (* x (+ (* x x) 0)) 1) (/ x (+ (* x x) 0))) (+ (* x (+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0)) 1)) 2)) |
(* x (+ (* (* x x) -61/720) 5/24)) |
(+ (* x 1/360) 0) |
(+ (* x (+ (* x (+ (* x 1/360) 0)) 1/12)) 0) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))))) |
(pow.f64 (cosh.f64 x) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))) |
(cosh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64)))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64)))) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
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(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64))) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) |
| 1× | egg-herbie |
| 8 376× | accelerator-lowering-fma.f32 |
| 8 376× | accelerator-lowering-fma.f64 |
| 3 250× | *-lowering-*.f32 |
| 3 250× | *-lowering-*.f64 |
| 1 736× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1692 |
| 1 | 355 | 1692 |
| 2 | 885 | 1688 |
| 3 | 2422 | 1672 |
| 4 | 7468 | 1672 |
| 0 | 8056 | 1561 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4))))) |
-1/2 |
(- (* 5/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) |
(* -61/720 (pow x 4)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* -61/720 (pow x 4)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
5/24 |
(+ 5/24 (* -61/720 (pow x 2))) |
(+ 5/24 (* -61/720 (pow x 2))) |
(+ 5/24 (* -61/720 (pow x 2))) |
(* -61/720 (pow x 2)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* -61/720 (pow x 2)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(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 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(* 5/24 x) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(* -61/720 (pow x 3)) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* -61/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -61/720 (pow x 6)) |
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) |
(* -61/720 (pow x 6)) |
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 5/24 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) |
(* -61/720 (pow x 4)) |
(*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
(* -61/720 (pow x 4)) |
(*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
5/24 |
#s(literal 5/24 binary64) |
(+ 5/24 (* -61/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(+ 5/24 (* -61/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(+ 5/24 (* -61/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(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 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/360 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) |
(* 1/360 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) |
(* 1/360 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) |
(* 1/360 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(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) |
(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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
(* 5/24 x) |
(*.f64 x #s(literal 5/24 binary64)) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(* -61/720 (pow x 3)) |
(*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(* -61/720 (pow x 3)) |
(*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal 0 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
Compiled 64 812 to 5 460 computations (91.6% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 874 | 13 | 1 887 |
| Fresh | 10 | 20 | 30 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 885 | 39 | 1 924 |
| Status | Accuracy | Program |
|---|---|---|
| 53.3% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 53.3% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 53.3% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 53.1% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 39.5% | (/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 53.1% | (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) | |
| 41.1% | (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 36.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) | |
| 41.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 41.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) x) (/.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 42.8% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| ▶ | 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| 25.2% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 93.7% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) | |
| 25.2% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) x) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 42.8% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 42.3% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| ▶ | 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| ✓ | 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| 68.5% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal -1/144 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 86.9% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 90.7% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) | |
| ▶ | 86.9% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
| ✓ | 76.6% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| ▶ | 98.4% | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) |
| 40.7% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 40.8% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) | |
| 36.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) | |
| 36.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 26.6% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 60.6% | (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))) | |
| 53.0% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) | |
| 76.6% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| ✓ | 53.3% | #s(literal 1 binary64) |
Compiled 1 563 to 833 computations (46.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 2496 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 1408 | (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (exp.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 896 | (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
| 5 668× | accelerator-lowering-fma.f32 |
| 5 668× | accelerator-lowering-fma.f64 |
| 2 438× | *-lowering-*.f32 |
| 2 438× | *-lowering-*.f64 |
| 1 780× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 277 |
| 1 | 126 | 245 |
| 2 | 420 | 229 |
| 3 | 1594 | 229 |
| 4 | 6362 | 229 |
| 0 | 8106 | 206 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (+ (/ 1 (exp (- 0 x))) 1)) |
2 |
(+ (/ 1 (exp (- 0 x))) 1) |
(/ 1 (exp (- 0 x))) |
1 |
(exp (- 0 x)) |
(- 0 x) |
0 |
x |
(/ 2 (* x x)) |
2 |
(* x x) |
x |
(/ 2 (+ (* x (+ (* (+ (* x x) 0) (* x 1/12)) x)) 2)) |
2 |
(+ (* x (+ (* (+ (* x x) 0) (* x 1/12)) x)) 2) |
x |
(+ (* (+ (* x x) 0) (* x 1/12)) x) |
(+ (* x x) 0) |
0 |
(* x 1/12) |
1/12 |
(/ 2 (+ (* (* (* (/ 1 x) (+ (* x x) 0)) x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)) |
2 |
(+ (* (* (* (/ 1 x) (+ (* x x) 0)) x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) |
(* (* (/ 1 x) (+ (* x x) 0)) x) |
(* (/ 1 x) (+ (* x x) 0)) |
(/ 1 x) |
1 |
x |
(+ (* x x) 0) |
0 |
(+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) |
(* x x) |
(+ (* (* x x) 1/360) 1/12) |
1/360 |
1/12 |
(/ 2 (+ (* (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)) |
2 |
(+ (* (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) |
(/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) |
(/ 1 x) |
1 |
x |
(/ 1 (+ (* x (+ (* x x) 0)) 0)) |
(+ (* x (+ (* x x) 0)) 0) |
(+ (* x x) 0) |
0 |
(+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) |
(* x x) |
(+ (* (* x x) 1/360) 1/12) |
1/360 |
1/12 |
| Outputs |
|---|
(/ 2 (+ (/ 1 (exp (- 0 x))) 1)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
2 |
#s(literal 2 binary64) |
(+ (/ 1 (exp (- 0 x))) 1) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ 1 (exp (- 0 x))) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(exp (- 0 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(/ 2 (* x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
2 |
#s(literal 2 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(/ 2 (+ (* x (+ (* (+ (* x x) 0) (* x 1/12)) x)) 2)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* x (+ (* (+ (* x x) 0) (* x 1/12)) x)) 2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
x |
(+ (* (+ (* x x) 0) (* x 1/12)) x) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* x 1/12) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(/ 2 (+ (* (* (* (/ 1 x) (+ (* x x) 0)) x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* (* (* (/ 1 x) (+ (* x x) 0)) x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* (* (/ 1 x) (+ (* x x) 0)) x) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (/ 1 x) (+ (* x x) 0)) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* (* x x) 1/360) 1/12) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
(/ 2 (+ (* (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ 1 (+ (* x (+ (* x x) 0)) 0)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+ (* x (+ (* x x) 0)) 0) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* (* x x) 1/360) 1/12) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
1/12 |
#s(literal 1/12 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 90.9% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 74.8% | (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
| 39.0ms | 137× | 0 | valid |
| 31.0ms | 119× | 0 | exit |
Compiled 308 to 39 computations (87.3% saved)
ival-mult: 16.0ms (33% of total)ival-div: 13.0ms (26.8% of total)ival-add: 9.0ms (18.6% of total)const: 6.0ms (12.4% of total)ival-exp: 2.0ms (4.1% of total)ival-sub: 2.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (exp (- 0 x)))> |
#<alt (/ 2 (+ (/ 1 (exp (- 0 x))) 1))> |
#<alt (+ (/ 1 (exp (- 0 x))) 1)> |
#<alt (exp (- 0 x))> |
#<alt (/ 2 (* x x))> |
#<alt (* x x)> |
#<alt (/ 2 (+ (* x (+ (* (+ (* x x) 0) (* x 1/12)) x)) 2))> |
#<alt (+ (* x (+ (* (+ (* x x) 0) (* x 1/12)) x)) 2)> |
#<alt (+ (* (+ (* x x) 0) (* x 1/12)) x)> |
#<alt (+ (* x x) 0)> |
#<alt (* (/ 1 x) (+ (* x x) 0))> |
#<alt (/ 2 (+ (* (* (* (/ 1 x) (+ (* x x) 0)) x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2))> |
#<alt (+ (* (* (* (/ 1 x) (+ (* x x) 0)) x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)> |
#<alt (/ 1 x)> |
#<alt (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0)))> |
#<alt (/ 2 (+ (* (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2))> |
#<alt (+ (* (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)> |
#<alt (* x 1/12)> |
#<alt (+ (* (* x x) 1/360) 1/12)> |
#<alt (+ (* x (+ (* x x) 0)) 0)> |
#<alt (/ 1 (+ (* x (+ (* x x) 0)) 0))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (/ 1 (exp (neg x)))> |
#<alt (/ 1 (exp (neg x)))> |
#<alt (/ 1 (exp (neg x)))> |
#<alt (/ 1 (exp (neg x)))> |
#<alt (/ 1 (exp (* -1 x)))> |
#<alt (/ 1 (exp (* -1 x)))> |
#<alt (/ 1 (exp (* -1 x)))> |
#<alt (/ 1 (exp (* -1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* x (- (* (pow x 2) (+ 1/24 (* -1/240 (pow x 2)))) 1/2)))> |
#<alt (/ 2 (+ 1 (/ 1 (exp (neg x)))))> |
#<alt (/ 2 (+ 1 (/ 1 (exp (neg x)))))> |
#<alt (/ 2 (+ 1 (/ 1 (exp (neg x)))))> |
#<alt (/ 2 (+ 1 (/ 1 (exp (neg x)))))> |
#<alt (/ 2 (+ 1 (/ 1 (exp (* -1 x)))))> |
#<alt (/ 2 (+ 1 (/ 1 (exp (* -1 x)))))> |
#<alt (/ 2 (+ 1 (/ 1 (exp (* -1 x)))))> |
#<alt (/ 2 (+ 1 (/ 1 (exp (* -1 x)))))> |
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (+ 1 (/ 1 (exp (neg x))))> |
#<alt (+ 1 (/ 1 (exp (neg x))))> |
#<alt (+ 1 (/ 1 (exp (neg x))))> |
#<alt (+ 1 (/ 1 (exp (neg x))))> |
#<alt (+ 1 (/ 1 (exp (* -1 x))))> |
#<alt (+ 1 (/ 1 (exp (* -1 x))))> |
#<alt (+ 1 (/ 1 (exp (* -1 x))))> |
#<alt (+ 1 (/ 1 (exp (* -1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (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> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<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> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt 1/12> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (+ 1/12 (* 1/360 (pow x 2)))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 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 (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ 2 (+ (/ 1 (exp (- 0 x))) 1)) |
| 1.0ms | x | @ | -inf | (/ 2 (+ (/ 1 (exp (- 0 x))) 1)) |
| 0.0ms | x | @ | 0 | (/ 2 (* x x)) |
| 0.0ms | x | @ | -inf | (* x 1/12) |
| 0.0ms | x | @ | inf | (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) |
| 1× | batch-egg-rewrite |
| 4 790× | accelerator-lowering-fma.f32 |
| 4 790× | accelerator-lowering-fma.f64 |
| 3 930× | *-lowering-*.f32 |
| 3 930× | *-lowering-*.f64 |
| 3 872× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 208 |
| 1 | 300 | 154 |
| 2 | 2966 | 152 |
| 0 | 9250 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (exp (- 0 x))) |
(/ 2 (+ (/ 1 (exp (- 0 x))) 1)) |
(+ (/ 1 (exp (- 0 x))) 1) |
(exp (- 0 x)) |
(/ 2 (* x x)) |
(* x x) |
(/ 2 (+ (* x (+ (* (+ (* x x) 0) (* x 1/12)) x)) 2)) |
(+ (* x (+ (* (+ (* x x) 0) (* x 1/12)) x)) 2) |
(+ (* (+ (* x x) 0) (* x 1/12)) x) |
(+ (* x x) 0) |
(* (/ 1 x) (+ (* x x) 0)) |
(/ 2 (+ (* (* (* (/ 1 x) (+ (* x x) 0)) x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)) |
(+ (* (* (* (/ 1 x) (+ (* x x) 0)) x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) |
(/ 1 x) |
(/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) |
(/ 2 (+ (* (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2)) |
(+ (* (/ (/ 1 x) (/ 1 (+ (* x (+ (* x x) 0)) 0))) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) |
(* x 1/12) |
(+ (* (* x x) 1/360) 1/12) |
(+ (* x (+ (* x x) 0)) 0) |
(/ 1 (+ (* x (+ (* x x) 0)) 0)) |
| Outputs |
|---|
(exp.f64 x) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) x (-.f64 #s(literal 0 binary64) x))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(pow.f64 (exp.f64 (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 0 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))))) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (expm1.f64 x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (*.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (exp.f64 x)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x))) x) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 x x #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
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(exp.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(exp.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(pow.f64 x #s(literal -3 binary64)) |
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 13 164× | accelerator-lowering-fma.f32 |
| 13 164× | accelerator-lowering-fma.f64 |
| 4 600× | *-lowering-*.f32 |
| 4 600× | *-lowering-*.f64 |
| 2 280× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 1683 |
| 1 | 421 | 1608 |
| 2 | 967 | 1604 |
| 3 | 3378 | 1588 |
| 0 | 8136 | 1510 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(/ 1 (exp (neg x))) |
(/ 1 (exp (neg x))) |
(/ 1 (exp (neg x))) |
(/ 1 (exp (neg x))) |
(/ 1 (exp (* -1 x))) |
(/ 1 (exp (* -1 x))) |
(/ 1 (exp (* -1 x))) |
(/ 1 (exp (* -1 x))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* x (- (* (pow x 2) (+ 1/24 (* -1/240 (pow x 2)))) 1/2))) |
(/ 2 (+ 1 (/ 1 (exp (neg x))))) |
(/ 2 (+ 1 (/ 1 (exp (neg x))))) |
(/ 2 (+ 1 (/ 1 (exp (neg x))))) |
(/ 2 (+ 1 (/ 1 (exp (neg x))))) |
(/ 2 (+ 1 (/ 1 (exp (* -1 x))))) |
(/ 2 (+ 1 (/ 1 (exp (* -1 x))))) |
(/ 2 (+ 1 (/ 1 (exp (* -1 x))))) |
(/ 2 (+ 1 (/ 1 (exp (* -1 x))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (/ 1 (exp (neg x)))) |
(+ 1 (/ 1 (exp (neg x)))) |
(+ 1 (/ 1 (exp (neg x)))) |
(+ 1 (/ 1 (exp (neg x)))) |
(+ 1 (/ 1 (exp (* -1 x)))) |
(+ 1 (/ 1 (exp (* -1 x)))) |
(+ 1 (/ 1 (exp (* -1 x)))) |
(+ 1 (/ 1 (exp (* -1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 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) |
(pow x 2) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2))) |
(/ 24 (pow x 4)) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4)) |
(/ 24 (pow x 4)) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 3)) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(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 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* 1/360 (pow x 2))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 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) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ 1 (exp (neg x))) |
(exp.f64 x) |
(/ 1 (exp (neg x))) |
(exp.f64 x) |
(/ 1 (exp (neg x))) |
(exp.f64 x) |
(/ 1 (exp (neg x))) |
(exp.f64 x) |
(/ 1 (exp (* -1 x))) |
(exp.f64 x) |
(/ 1 (exp (* -1 x))) |
(exp.f64 x) |
(/ 1 (exp (* -1 x))) |
(exp.f64 x) |
(/ 1 (exp (* -1 x))) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* (pow x 2) (+ 1/24 (* -1/240 (pow x 2)))) 1/2))) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 2 (+ 1 (/ 1 (exp (neg x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/ 2 (+ 1 (/ 1 (exp (neg x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/ 2 (+ 1 (/ 1 (exp (neg x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/ 2 (+ 1 (/ 1 (exp (neg x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/ 2 (+ 1 (/ 1 (exp (* -1 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/ 2 (+ 1 (/ 1 (exp (* -1 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/ 2 (+ 1 (/ 1 (exp (* -1 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/ 2 (+ 1 (/ 1 (exp (* -1 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 x #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (/ 1 (exp (neg x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (/ 1 (exp (neg x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (/ 1 (exp (neg x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (/ 1 (exp (neg x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (/ 1 (exp (* -1 x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (/ 1 (exp (* -1 x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (/ 1 (exp (* -1 x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (/ 1 (exp (* -1 x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
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(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
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(exp (* -1 x)) |
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(pow x 2) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
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(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
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(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
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(* 1/12 (pow x 4)) |
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(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
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(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
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x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
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(* x (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* 1/12 (pow x 3)) |
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(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
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(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
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(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(* 1/12 (pow x 3)) |
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(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
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(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
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(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
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(pow x 2) |
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(pow x 2) |
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(pow x 2) |
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(pow x 2) |
(*.f64 x x) |
x |
x |
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x |
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x |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
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2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
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(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
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(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/360 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(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)) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
Compiled 66 911 to 5 418 computations (91.9% saved)
42 alts after pruning (35 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 934 | 13 | 1 947 |
| Fresh | 6 | 22 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 944 | 42 | 1 986 |
| Status | Accuracy | Program |
|---|---|---|
| 53.3% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 53.3% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 53.3% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | 53.1% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 26.5% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| 39.5% | (/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 53.1% | (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) | |
| 41.1% | (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 36.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) | |
| 41.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 41.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) x) (/.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 42.8% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 25.2% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 93.7% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 25.2% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) x) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 42.8% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 42.3% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 91.1% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))) x #s(literal 2 binary64))) | |
| 91.6% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 68.5% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal -1/144 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 86.9% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 90.7% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) | |
| 86.9% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) | |
| ✓ | 76.6% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| 3.1% | (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) | |
| ✓ | 98.4% | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) |
| 91.6% | (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) | |
| 54.1% | (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) | |
| 40.7% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 40.8% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) | |
| 36.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) | |
| 36.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 26.6% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 60.6% | (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64))) | |
| 53.0% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) | |
| ✓ | 53.3% | #s(literal 1 binary64) |
Compiled 2 309 to 750 computations (67.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))) x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) x) (/.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal -1/144 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) x) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) #s(literal 1/129600 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (neg.f64 x)))) |
3 calls:
| 24.0ms | x |
| 17.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 16.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 100.0% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))) x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) x) (/.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal -1/144 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) x) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) #s(literal 1/129600 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
3 calls:
| 19.0ms | x |
| 16.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 15.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 100.0% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))) x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) x) (/.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64)) #s(literal -1/144 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) x) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/46656000 binary64) #s(literal 0 binary64)) #s(literal 1/129600 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/129600 binary64) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
3 calls:
| 18.0ms | x |
| 15.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 14.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 1 | x |
| 93.7% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 93.7% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))) x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
3 calls:
| 12.0ms | x |
| 9.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 9.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 91.6% | 1 | x |
| 91.6% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) |
3 calls:
| 9.0ms | x |
| 8.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 7.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 1 | x |
| 90.7% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 90.7% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -61/720 binary64) #s(literal 0 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
3 calls:
| 10.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 8.0ms | x |
| 6.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 2 | x |
| 91.7% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 91.7% | 2 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
3 calls:
| 7.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 7.0ms | x |
| 5.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 1 | x |
| 86.9% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 86.9% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 0 binary64)))) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))) |
3 calls:
| 5.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 5.0ms | x |
| 4.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 2 | x |
| 86.8% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 86.8% | 2 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 86.8% | 2 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 86.8% | 2 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 3.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 1 | x |
| 76.6% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 76.6% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
3 calls:
| 11.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | x |
| 2.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 76.5% | 2 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 76.5% | 2 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 54.1% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 54.1% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
Total -0.4b remaining (-1.2%)
Threshold costs -0.4b (-1.2%)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 1 binary64) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 1 | x |
| 53.3% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 53.3% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.15371123415232 | 3.5573156425247754e+270 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.3895916939530971 | 622.9669813358317 |
| 9.0ms | 128× | 0 | valid |
Compiled 228 to 163 computations (28.5% saved)
ival-exp: 3.0ms (64.2% of total)ival-div: 1.0ms (21.4% of total)ival-add: 1.0ms (21.4% of total)ival-neg: 1.0ms (21.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 0.3895916939530971 | 622.9669813358317 |
| 31.0ms | 128× | 0 | valid |
Compiled 204 to 139 computations (31.9% saved)
ival-exp: 3.0ms (63.5% of total)ival-div: 1.0ms (21.2% of total)ival-add: 1.0ms (21.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.3895916939530971 | 622.9669813358317 |
| 7.0ms | 128× | 0 | valid |
Compiled 132 to 99 computations (25% saved)
ival-exp: 3.0ms (64% of total)ival-div: 1.0ms (21.3% of total)ival-add: 1.0ms (21.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 204 |
| 1 | 103 | 204 |
| 2 | 105 | 204 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal 5/4 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 2 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal 5/4 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) x)) |
#s(literal 1 binary64) |
| 15 580× | accelerator-lowering-fma.f32 |
| 15 580× | accelerator-lowering-fma.f64 |
| 13 164× | accelerator-lowering-fma.f32 |
| 13 164× | accelerator-lowering-fma.f64 |
| 10 548× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 1683 |
| 1 | 421 | 1608 |
| 2 | 967 | 1604 |
| 3 | 3378 | 1588 |
| 0 | 8136 | 1510 |
| 0 | 45 | 173 |
| 1 | 364 | 165 |
| 2 | 3372 | 163 |
| 0 | 8976 | 142 |
| 0 | 176 | 1696 |
| 1 | 505 | 1620 |
| 2 | 1166 | 1604 |
| 3 | 4716 | 1596 |
| 0 | 8736 | 1470 |
| 0 | 66 | 283 |
| 1 | 162 | 282 |
| 2 | 359 | 278 |
| 3 | 921 | 278 |
| 4 | 1406 | 278 |
| 5 | 2068 | 278 |
| 6 | 3397 | 278 |
| 7 | 4663 | 278 |
| 8 | 5970 | 278 |
| 9 | 7535 | 278 |
| 0 | 8007 | 256 |
| 0 | 126 | 1692 |
| 1 | 355 | 1692 |
| 2 | 885 | 1688 |
| 3 | 2422 | 1672 |
| 4 | 7468 | 1672 |
| 0 | 8056 | 1561 |
| 0 | 37 | 208 |
| 1 | 300 | 154 |
| 2 | 2966 | 152 |
| 0 | 9250 | 134 |
| 0 | 7 | 15 |
| 1 | 37 | 13 |
| 2 | 252 | 13 |
| 3 | 2361 | 13 |
| 0 | 9050 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 585 to 337 computations (42.4% saved)
(abs x)
Compiled 518 to 222 computations (57.1% saved)
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