
Time bar (total: 9.3s)
| 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)
| 473.0ms | 8 256× | 0 | valid |
ival-exp: 131.0ms (46.4% of total)ival-div: 57.0ms (20.2% of total)ival-add: 46.0ms (16.3% of total)ival-neg: 34.0ms (12% of total)ival-true: 6.0ms (2.1% of total)exact: 4.0ms (1.4% of total)ival-assert: 3.0ms (1.1% of total)| 1× | 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 | 9 | 16 |
| 1 | 28 | 16 |
| 2 | 57 | 16 |
| 3 | 100 | 16 |
| 4 | 137 | 16 |
| 5 | 181 | 16 |
| 6 | 209 | 16 |
| 7 | 217 | 16 |
| 8 | 223 | 16 |
| 9 | 233 | 16 |
| 10 | 241 | 16 |
| 0 | 7 | 8 |
| 0 | 12 | 8 |
| 1 | 19 | 8 |
| 2 | 25 | 8 |
| 3 | 29 | 8 |
| 4 | 33 | 8 |
| 5 | 39 | 8 |
| 6 | 46 | 8 |
| 7 | 50 | 8 |
| 8 | 52 | 8 |
| 9 | 53 | 8 |
| 0 | 53 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 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 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 146.0ms | 512× | 0 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-exp: 7.0ms (42.6% of total)ival-div: 3.0ms (18.2% of total)ival-add: 2.0ms (12.2% of total)ival-neg: 2.0ms (12.2% 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× | lower-*.f64 |
| 16× | lower-*.f32 |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
| 12× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 23 |
| 1 | 19 | 23 |
| 2 | 25 | 23 |
| 3 | 29 | 23 |
| 4 | 33 | 23 |
| 5 | 39 | 23 |
| 6 | 46 | 23 |
| 7 | 50 | 23 |
| 8 | 52 | 23 |
| 9 | 53 | 23 |
| 0 | 53 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
#s(literal 2 binary64) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
#s(literal 2 binary64) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 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 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | accuracy | 100.0% | (+.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 (50.4% of total)ival-div: 2.0ms (25.2% of total)ival-add: 1.0ms (12.6% of total)ival-neg: 1.0ms (12.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))> |
#<alt (exp.f64 x)> |
#<alt (exp.f64 (neg.f64 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× | lower-/.f32 |
| 5 042× | lower-/.f64 |
| 4 012× | lower-*.f64 |
| 4 012× | lower-*.f32 |
| 2 444× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 12 | 15 |
| 1 | 42 | 13 |
| 2 | 257 | 13 |
| 3 | 2370 | 13 |
| 0 | 9064 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(exp.f64 (neg.f64 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 (-.f64 (neg.f64 x) x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.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)))) (neg.f64 (exp.f64 (neg.f64 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 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.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 (neg.f64 (exp.f64 (neg.f64 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 (neg.f64 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 (neg.f64 (exp.f64 (neg.f64 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 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))) |
(fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.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 (-.f64 (neg.f64 x) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x)) (*.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)))) (neg.f64 (exp.f64 (neg.f64 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) (neg.f64 (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 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 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 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) |
(/.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 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 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 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.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))))) (neg.f64 (*.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 (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 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))) |
(*.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 x))) |
(*.f64 (cosh.f64 x) (pow.f64 (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(*.f64 #s(literal -2 binary64) (neg.f64 (cosh.f64 x))) |
(*.f64 (*.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) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (*.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) (sinh.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 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 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.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) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.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) (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 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (sinh.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(exp.f64 x) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(exp.f64 (fma.f64 x #s(literal 3 binary64) (-.f64 (neg.f64 x) x))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 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)) (neg.f64 x)) |
(pow.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (-.f64 (neg.f64 x) x))) |
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal -3 binary64)))) |
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (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) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(/.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 (neg.f64 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 (neg.f64 (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 (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow.f64 (exp.f64 (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -3 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 (neg.f64 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× | lower-fma.f64 |
| 15 580× | lower-fma.f32 |
| 3 668× | lower-*.f64 |
| 3 668× | lower-*.f32 |
| 2 386× | lower-+.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) (*.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 (*.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 (* -61/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 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 (neg.f64 x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.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 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 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 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
Compiled 8 303 to 1 377 computations (83.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 433 | 7 | 440 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 434 | 7 | 441 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.2% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ▶ | 50.2% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| 90.6% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) | |
| 86.8% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) | |
| ▶ | 74.1% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ▶ | 50.3% | #s(literal 1 binary64) |
Compiled 132 to 84 computations (36.4% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 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 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 210× | lower-fma.f32 |
| 202× | lower-fma.f64 |
| 120× | lower-*.f32 |
| 116× | lower-*.f64 |
| 116× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 65 |
| 0 | 26 | 65 |
| 1 | 51 | 65 |
| 2 | 91 | 65 |
| 3 | 132 | 65 |
| 4 | 142 | 65 |
| 5 | 146 | 65 |
| 6 | 152 | 65 |
| 7 | 201 | 65 |
| 8 | 261 | 65 |
| 9 | 270 | 65 |
| 10 | 276 | 65 |
| 11 | 280 | 65 |
| 12 | 289 | 65 |
| 13 | 315 | 65 |
| 14 | 316 | 65 |
| 0 | 316 | 65 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
#s(literal 1 binary64) |
(cosh.f64 x) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x x #s(literal 2 binary64)) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal 5/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
#s(literal 1 binary64) |
(cosh.f64 x) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x x #s(literal 2 binary64)) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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)) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal 5/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 2 binary64)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 46.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 74 to 19 computations (74.3% saved)
ival-mult: 13.0ms (44.1% of total)ival-add: 5.0ms (17% of total)ival-div: 4.0ms (13.6% of total)const: 4.0ms (13.6% of total)ival-cosh: 3.0ms (10.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (cosh.f64 x))> |
#<alt (cosh.f64 x)> |
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))> |
#<alt (fma.f64 x x #s(literal 2 binary64))> |
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))> |
| 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 (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) (- (* 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) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (* 5/24 (pow x 4))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 5/24 (pow x 4))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))> |
#<alt (* 5/24 (pow x 3))> |
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 5/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))> |
#<alt -1/2> |
#<alt (- (* 5/24 (pow x 2)) 1/2)> |
#<alt (- (* 5/24 (pow x 2)) 1/2)> |
#<alt (- (* 5/24 (pow x 2)) 1/2)> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ 1 (cosh x)) |
| 2.0ms | x | @ | inf | (* x (+ (* (* x x) 5/24) -1/2)) |
| 1.0ms | x | @ | -inf | (/ 1 (cosh x)) |
| 0.0ms | x | @ | inf | (+ (* -1/2 (* x x)) 1) |
| 0.0ms | x | @ | inf | (+ (* x (* x (+ (* (* x x) 5/24) -1/2))) 1) |
| 1× | batch-egg-rewrite |
| 8 090× | lower-fma.f32 |
| 8 082× | lower-fma.f64 |
| 4 846× | lower-*.f32 |
| 4 842× | lower-*.f64 |
| 3 136× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 50 |
| 0 | 26 | 50 |
| 1 | 119 | 50 |
| 2 | 767 | 50 |
| 3 | 7294 | 50 |
| 0 | 8523 | 50 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(cosh.f64 x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(fma.f64 x x #s(literal 2 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cosh.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (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 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.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 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1953125/2641807540224 binary64) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -125/110592 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 625/331776 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/2304 binary64) #s(literal 1/16 binary64))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 625/331776 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -5/24 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -5/24 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64)))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1953125/2641807540224 binary64) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -125/110592 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal 1/8 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 15625/191102976 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 625/331776 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/2304 binary64) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 625/331776 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -5/24 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal -1/8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 15625/191102976 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 625/331776 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -5/48 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) (fma.f64 x (*.f64 x #s(literal -5/48 binary64)) #s(literal 1/4 binary64)))) |
| 1× | egg-herbie |
| 15 616× | lower-fma.f64 |
| 15 616× | lower-fma.f32 |
| 3 018× | lower--.f64 |
| 3 018× | lower--.f32 |
| 2 986× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 808 |
| 1 | 242 | 808 |
| 2 | 623 | 808 |
| 3 | 1799 | 808 |
| 4 | 3815 | 808 |
| 5 | 6945 | 808 |
| 0 | 8558 | 739 |
| 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)) |
(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) (- (* 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) (- (* 5/24 (pow x 2)) 1/2))) |
(* 5/24 (pow x 4)) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* 5/24 (pow x 4)) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* -1/2 x) |
(* x (- (* 5/24 (pow x 2)) 1/2)) |
(* x (- (* 5/24 (pow x 2)) 1/2)) |
(* x (- (* 5/24 (pow x 2)) 1/2)) |
(* 5/24 (pow x 3)) |
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 5/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24))) |
-1/2 |
(- (* 5/24 (pow x 2)) 1/2) |
(- (* 5/24 (pow x 2)) 1/2) |
(- (* 5/24 (pow x 2)) 1/2) |
(* 5/24 (pow x 2)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 5/24 (pow x 2)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 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 (*.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 (* -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 (neg.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.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) (+ 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 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 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)) |
(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) (- (* 1/4 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.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 #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 (*.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) (- (* 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)) |
(* 5/24 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 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)) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 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)) |
(* 5/24 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 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)) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 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)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 5/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(* x (- (* 5/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(* x (- (* 5/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(* 5/24 (pow x 3)) |
(*.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(* 5/24 (pow x 3)) |
(*.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 5/24 (pow x 2)) 1/2) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(- (* 5/24 (pow x 2)) 1/2) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(- (* 5/24 (pow x 2)) 1/2) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) |
Compiled 17 284 to 1 521 computations (91.2% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 640 | 4 | 644 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 640 | 11 | 651 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.2% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | 50.2% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ▶ | 53.9% | (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
| ▶ | 90.6% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
| ▶ | 86.8% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
| ✓ | 74.1% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| 52.2% | (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))))) | |
| ▶ | 27.0% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ▶ | 90.6% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ✓ | 50.3% | #s(literal 1 binary64) |
Compiled 265 to 143 computations (46% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| 2 860× | lower-fma.f32 |
| 2 838× | lower-fma.f64 |
| 1 482× | lower-*.f32 |
| 1 470× | lower-*.f64 |
| 774× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 256 |
| 0 | 65 | 240 |
| 1 | 155 | 234 |
| 2 | 388 | 234 |
| 3 | 750 | 234 |
| 4 | 1112 | 234 |
| 5 | 1229 | 234 |
| 6 | 1558 | 234 |
| 7 | 1658 | 234 |
| 8 | 1747 | 234 |
| 9 | 1761 | 234 |
| 10 | 1773 | 234 |
| 11 | 1887 | 234 |
| 12 | 1923 | 234 |
| 13 | 1923 | 234 |
| 14 | 2063 | 234 |
| 15 | 2189 | 234 |
| 16 | 2213 | 234 |
| 17 | 2243 | 234 |
| 0 | 2243 | 228 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
x |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) |
x |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
(*.f64 x x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal 1/360 binary64)) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 4 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
(*.f64 x (*.f64 x x)) |
#s(literal 8 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)) |
x |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)) |
x |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal 1/360 binary64)) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 8 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 4 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) |
(*.f64 x (*.f64 x x)) |
#s(literal 8 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 59.8% | (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal 1/360 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| 112.0ms | 256× | 0 | valid |
Compiled 291 to 45 computations (84.5% saved)
ival-mult: 22.0ms (39.7% of total)ival-add: 12.0ms (21.7% of total)const: 12.0ms (21.7% of total)ival-div: 8.0ms (14.5% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x x))> |
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))> |
#<alt (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))> |
#<alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)> |
#<alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64))> |
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))> |
#<alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)> |
#<alt (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))> |
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))> |
#<alt (*.f64 x #s(literal 1/360 binary64))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))> |
| 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 (/ 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 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 (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 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 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (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 (/ 2 (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 (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* 1/12 (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 x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<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 8> |
#<alt (+ 8 (* -4 (pow x 2)))> |
#<alt (+ 8 (* (pow x 2) (- (* 2 (pow x 2)) 4)))> |
#<alt (+ 8 (* (pow x 2) (- (* 2 (pow x 2)) 4)))> |
#<alt (* 2 (pow x 4))> |
#<alt (* (pow x 4) (- 2 (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* 2 (pow x 4))> |
#<alt (* (pow x 4) (- 2 (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))))> |
#<alt 4> |
#<alt (+ 4 (* -2 (pow x 2)))> |
#<alt (+ 4 (* (pow x 2) (- (pow x 2) 2)))> |
#<alt (+ 4 (* (pow x 2) (- (pow x 2) 2)))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 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)))))> |
#<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 8> |
#<alt (+ 8 (pow x 6))> |
#<alt (+ 8 (pow x 6))> |
#<alt (+ 8 (pow x 6))> |
#<alt (pow x 6)> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (pow x 6)> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) |
| 2.0ms | x | @ | 0 | (* x (+ (* x (* x 1/360)) 1/12)) |
| 1.0ms | x | @ | inf | (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) 1)) |
| 0.0ms | x | @ | inf | (+ (* (* x (* x x)) (* x (* x x))) 8) |
| 0.0ms | x | @ | inf | (/ 2 (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2)) |
| 1× | batch-egg-rewrite |
| 6 210× | lower-fma.f32 |
| 6 188× | lower-fma.f64 |
| 4 196× | lower-*.f32 |
| 4 184× | lower-*.f64 |
| 3 600× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 221 |
| 0 | 65 | 203 |
| 1 | 323 | 199 |
| 2 | 2428 | 199 |
| 0 | 8721 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/360 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) |
(pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (fma.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 64 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 64 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 512 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) |
| 1× | egg-herbie |
| 14 672× | lower-fma.f64 |
| 14 672× | lower-fma.f32 |
| 4 138× | lower-*.f64 |
| 4 138× | lower-*.f32 |
| 3 316× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 2194 |
| 1 | 599 | 2162 |
| 2 | 1501 | 2144 |
| 3 | 4242 | 2126 |
| 0 | 8217 | 2001 |
| 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))) |
(/ 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)) |
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))))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 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) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (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)) |
(/ 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)))) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (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))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
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)) |
8 |
(+ 8 (* -4 (pow x 2))) |
(+ 8 (* (pow x 2) (- (* 2 (pow x 2)) 4))) |
(+ 8 (* (pow x 2) (- (* 2 (pow x 2)) 4))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
4 |
(+ 4 (* -2 (pow x 2))) |
(+ 4 (* (pow x 2) (- (pow x 2) 2))) |
(+ 4 (* (pow x 2) (- (pow x 2) 2))) |
(pow x 4) |
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(pow x 4) |
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 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))))) |
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) |
8 |
(+ 8 (pow x 6)) |
(+ 8 (pow x 6)) |
(+ 8 (pow x 6)) |
(pow x 6) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(pow x 6) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
| 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 (*.f64 x 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) (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 #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)))) (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 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -21600 binary64) (*.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 #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)))) (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 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 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) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 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 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
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#s(literal 1/2 binary64) |
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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 (*.f64 x x) (fma.f64 x (*.f64 x #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)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)) |
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(* 1/12 (pow x 4)) |
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(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
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(* (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)))) |
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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)))) |
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(* x (+ 1 (* 1/12 (pow x 2)))) |
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(* 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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(* 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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(* 1/12 (pow x 2)) |
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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 (*.f64 x 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))) |
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(/ 720 (pow x 6)) |
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(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
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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))))) |
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(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
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(* 1/360 (pow x 6)) |
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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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(* 1/360 (pow x 6)) |
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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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x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) |
(* 1/360 (pow x 5)) |
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(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* 1/360 (pow x 5)) |
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(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2))) |
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(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2))) |
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(/.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 -4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.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 -4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x)) |
8 |
#s(literal 8 binary64) |
(+ 8 (* -4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 8 binary64)) |
(+ 8 (* (pow x 2) (- (* 2 (pow x 2)) 4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 8 binary64)) |
(+ 8 (* (pow x 2) (- (* 2 (pow x 2)) 4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 8 binary64)) |
(* 2 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 2 (* 4 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)))) |
(* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal -4 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal -4 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 2 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- 2 (* 4 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)))) |
(* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal -4 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal -4 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) |
(+ 4 (* (pow x 2) (- (pow x 2) 2))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64)) |
(+ 4 (* (pow x 2) (- (pow x 2) 2))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal -2 binary64)))) |
(* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x x #s(literal -2 binary64)))) |
(* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)))) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 (*.f64 x (*.f64 x x)) #s(literal 1/360 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))) |
(* (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 (*.f64 x (*.f64 x x)) #s(literal 1/360 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))) |
(* (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))) |
1/12 |
#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)) |
8 |
#s(literal 8 binary64) |
(+ 8 (pow x 6)) |
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) |
(+ 8 (pow x 6)) |
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) |
(+ 8 (pow x 6)) |
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) |
Compiled 31 439 to 2 426 computations (92.3% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 963 | 8 | 971 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 966 | 16 | 982 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.2% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | 50.2% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ▶ | 26.3% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| 39.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ▶ | 90.2% | (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
| 86.8% | (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))) | |
| ✓ | 90.6% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
| ✓ | 74.1% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| 52.2% | (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))))) | |
| 39.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) | |
| ▶ | 39.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | 27.0% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ▶ | 86.8% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ▶ | 90.6% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ✓ | 50.3% | #s(literal 1 binary64) |
Compiled 332 to 188 computations (43.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| 682× | lower-fma.f32 |
| 672× | lower-fma.f64 |
| 282× | lower-*.f32 |
| 270× | lower-*.f64 |
| 160× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 205 |
| 0 | 49 | 187 |
| 1 | 104 | 177 |
| 2 | 241 | 175 |
| 3 | 420 | 175 |
| 4 | 623 | 175 |
| 5 | 660 | 175 |
| 0 | 660 | 173 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
#s(literal 2 binary64) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
x |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
#s(literal 8 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x 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))) |
#s(literal 1 binary64) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x 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))) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(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)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(literal 2 binary64) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
x |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
#s(literal 1/12 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
#s(literal 8 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| 62.0ms | 256× | 0 | valid |
Compiled 224 to 33 computations (85.3% saved)
ival-mult: 16.0ms (38.4% of total)ival-div: 9.0ms (21.6% of total)const: 9.0ms (21.6% of total)ival-add: 6.0ms (14.4% of total)exact: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))> |
#<alt (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 (/.f64 #s(literal 2 binary64) x) x)> |
#<alt (/.f64 #s(literal 2 binary64) x)> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))> |
#<alt (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))> |
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))> |
#<alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))> |
| Outputs |
|---|
#<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 (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<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 (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 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 (/ 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 (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 4))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (* 1/12 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt 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 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 (* 1/24 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (pow x 6)))> |
#<alt (+ 1 (* (pow x 6) (- (* 1/64 (pow x 6)) 1/8)))> |
#<alt (+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1/64 (* -1/512 (pow x 6)))) 1/8)))> |
#<alt (/ 8 (pow x 6))> |
#<alt (/ (- 8 (* 64 (/ 1 (pow x 6)))) (pow x 6))> |
#<alt (/ (- (+ 8 (/ 512 (pow x 12))) (* 64 (/ 1 (pow x 6)))) (pow x 6))> |
#<alt (/ (- (+ 8 (/ 512 (pow x 12))) (+ (* 64 (/ 1 (pow x 6))) (* 4096 (/ 1 (pow x 18))))) (pow x 6))> |
#<alt (/ 8 (pow x 6))> |
#<alt (/ (- 8 (* 64 (/ 1 (pow x 6)))) (pow x 6))> |
#<alt (/ (- (+ 8 (/ 512 (pow x 12))) (* 64 (/ 1 (pow x 6)))) (pow x 6))> |
#<alt (/ (- (+ 8 (/ 512 (pow x 12))) (+ (* 64 (/ 1 (pow x 6))) (* 4096 (/ 1 (pow x 18))))) (pow x 6))> |
#<alt 8> |
#<alt (+ 8 (pow x 6))> |
#<alt (+ 8 (pow x 6))> |
#<alt (+ 8 (pow x 6))> |
#<alt (pow x 6)> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (pow x 6)> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ 8 (+ (* (* x (* x x)) (* x (* x x))) 8)) |
| 0.0ms | x | @ | inf | (/ 8 (+ (* (* x (* x x)) (* x (* x x))) 8)) |
| 0.0ms | x | @ | 0 | (/ 2 (* x (* 1/12 (* x (* x x))))) |
| 0.0ms | x | @ | -inf | (* 1/12 (* x (* x x))) |
| 0.0ms | x | @ | inf | (/ 2 (* x (* 1/12 (* x (* x x))))) |
| 1× | batch-egg-rewrite |
| 5 182× | lower-*.f32 |
| 5 170× | lower-*.f64 |
| 4 626× | lower-/.f32 |
| 4 614× | lower-/.f64 |
| 3 504× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 164 |
| 0 | 49 | 146 |
| 1 | 221 | 138 |
| 2 | 1576 | 136 |
| 0 | 8113 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(*.f64 x x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 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)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 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)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 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)) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 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 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 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)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 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) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 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)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 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 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (*.f64 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)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/8 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (*.f64 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)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 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)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))))) |
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(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) |
| 1× | egg-herbie |
| 11 856× | lower-fma.f64 |
| 11 856× | lower-fma.f32 |
| 3 876× | lower-*.f64 |
| 3 876× | lower-*.f32 |
| 2 396× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 1510 |
| 1 | 411 | 1510 |
| 2 | 956 | 1510 |
| 3 | 2320 | 1510 |
| 4 | 4886 | 1510 |
| 0 | 8405 | 1417 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
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)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 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) |
(/ 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)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(/ 24 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(* 1/12 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
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)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/8 (pow x 6))) |
(+ 1 (* (pow x 6) (- (* 1/64 (pow x 6)) 1/8))) |
(+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1/64 (* -1/512 (pow x 6)))) 1/8))) |
(/ 8 (pow x 6)) |
(/ (- 8 (* 64 (/ 1 (pow x 6)))) (pow x 6)) |
(/ (- (+ 8 (/ 512 (pow x 12))) (* 64 (/ 1 (pow x 6)))) (pow x 6)) |
(/ (- (+ 8 (/ 512 (pow x 12))) (+ (* 64 (/ 1 (pow x 6))) (* 4096 (/ 1 (pow x 18))))) (pow x 6)) |
(/ 8 (pow x 6)) |
(/ (- 8 (* 64 (/ 1 (pow x 6)))) (pow x 6)) |
(/ (- (+ 8 (/ 512 (pow x 12))) (* 64 (/ 1 (pow x 6)))) (pow x 6)) |
(/ (- (+ 8 (/ 512 (pow x 12))) (+ (* 64 (/ 1 (pow x 6))) (* 4096 (/ 1 (pow x 18))))) (pow x 6)) |
8 |
(+ 8 (pow x 6)) |
(+ 8 (pow x 6)) |
(+ 8 (pow x 6)) |
(pow x 6) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(pow x 6) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 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) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 (*.f64 x x) (fma.f64 x (*.f64 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)) |
(* 1/720 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) |
(* 1/720 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 |
#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 (* -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 x (*.f64 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 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 x (*.f64 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 720 binary64) (/.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) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (*.f64 x (*.f64 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 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 x (*.f64 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 720 binary64) (/.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) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* 1/720 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* 1/720 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 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) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #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 |
#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)) |
(/.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 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -27648 binary64) (*.f64 x (*.f64 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 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -27648 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (*.f64 x (*.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) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow x 6))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 6) (- (* 1/64 (pow x 6)) 1/8))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1/64 (* -1/512 (pow x 6)))) 1/8))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(/ 8 (pow x 6)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ (- 8 (* 64 (/ 1 (pow x 6)))) (pow x 6)) |
(/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ (- (+ 8 (/ 512 (pow x 12))) (* 64 (/ 1 (pow x 6)))) (pow x 6)) |
(/.f64 (+.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ (- (+ 8 (/ 512 (pow x 12))) (+ (* 64 (/ 1 (pow x 6))) (* 4096 (/ 1 (pow x 18))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 18 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ 8 (pow x 6)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ (- 8 (* 64 (/ 1 (pow x 6)))) (pow x 6)) |
(/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ (- (+ 8 (/ 512 (pow x 12))) (* 64 (/ 1 (pow x 6)))) (pow x 6)) |
(/.f64 (+.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ (- (+ 8 (/ 512 (pow x 12))) (+ (* 64 (/ 1 (pow x 6))) (* 4096 (/ 1 (pow x 18))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 18 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
8 |
#s(literal 8 binary64) |
(+ 8 (pow x 6)) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)) |
(+ 8 (pow x 6)) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)) |
(+ 8 (pow x 6)) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)) |
(pow x 6) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)) |
(pow x 6) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)) |
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
Compiled 28 259 to 2 475 computations (91.2% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 985 | 9 | 994 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 989 | 21 | 1 010 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.2% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | 50.2% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| 56.7% | (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) | |
| ✓ | 26.3% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| 39.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 90.2% | (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal 8 binary64))) | |
| 90.2% | (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) x #s(literal 8 binary64))) | |
| 43.3% | (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| ✓ | 90.6% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
| ✓ | 74.1% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| 39.3% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) | |
| 39.3% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) | |
| 39.3% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) | |
| 39.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) | |
| 39.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) | |
| ✓ | 27.0% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | 86.8% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | 90.6% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 53.9% | (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -8 binary64))) | |
| ✓ | 50.3% | #s(literal 1 binary64) |
Compiled 689 to 269 computations (61% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) x #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal 8 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -8 binary64))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
3 calls:
| 8.0ms | x |
| 7.0ms | (+.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 |
|---|---|---|
| 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) x #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal 8 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -8 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -8 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
3 calls:
| 17.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 8.0ms | x |
| 6.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 2 | x |
| 90.6% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 90.6% | 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) x #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal 8 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))))) |
| Outputs |
|---|
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) x #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal 8 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
2 calls:
| 7.0ms | x |
| 5.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 90.6% | 1 | x |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) x #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal 8 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
3 calls:
| 17.0ms | (+.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 |
|---|---|---|
| 90.6% | 1 | x |
| 90.6% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 90.6% | 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) x #s(literal 8 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal 8 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
3 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 5.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 1 | x |
| 90.2% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 90.2% | 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
3 calls:
| 15.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 5.0ms | x |
| 4.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 2 | x |
| 90.9% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 90.9% | 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
3 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 4.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 86.8% | 1 | x |
| 86.8% | 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))) |
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 |
|---|---|---|
| 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x))) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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:
| 16.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 4.0ms | 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 | 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 2 binary64) x) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
3 calls:
| 3.0ms | 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 |
|---|---|---|
| 74.1% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 74.1% | 1 | x |
| 74.1% | 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
3 calls:
| 2.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | x |
| 1.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 2 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 74.1% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 74.1% | 2 | 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 1 binary64) |
3 calls:
| 2.0ms | x |
| 1.0ms | (/.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 |
|---|---|---|
| 50.3% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 50.3% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 50.3% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 8.658750807413701e+48 | 4.5760582705993975e+51 |
| 6.0ms | 128× | 0 | valid |
Compiled 460 to 179 computations (61.1% saved)
ival-exp: 2.0ms (49.8% of total)ival-div: 1.0ms (24.9% of total)ival-add: 1.0ms (24.9% of total)ival-neg: 1.0ms (24.9% 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× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.2264880279262442e+76 | 1.1321498944029201e+80 |
| 4.0ms | 64× | 0 | valid |
Compiled 200 to 91 computations (54.5% saved)
ival-exp: 1.0ms (53.4% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3235592452338585 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3235592452338585 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3235592452338585 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.5614204240285561 | 8167.047617704629 |
| 7.0ms | 128× | 0 | valid |
Compiled 132 to 99 computations (25% saved)
ival-exp: 3.0ms (61.5% of total)ival-div: 1.0ms (20.5% of total)ival-add: 1.0ms (20.5% of total)ival-neg: 1.0ms (20.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 289 |
| 1 | 100 | 289 |
| 2 | 102 | 289 |
| 3 | 103 | 289 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 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 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 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 1 binary64) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 1 binary64) |
| 15 616× | lower-fma.f64 |
| 15 616× | lower-fma.f32 |
| 15 580× | lower-fma.f64 |
| 15 580× | lower-fma.f32 |
| 14 672× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 808 |
| 1 | 242 | 808 |
| 2 | 623 | 808 |
| 3 | 1799 | 808 |
| 4 | 3815 | 808 |
| 5 | 6945 | 808 |
| 0 | 8558 | 739 |
| 0 | 204 | 2194 |
| 1 | 599 | 2162 |
| 2 | 1501 | 2144 |
| 3 | 4242 | 2126 |
| 0 | 8217 | 2001 |
| 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 | 7 | 19 |
| 0 | 12 | 15 |
| 1 | 42 | 13 |
| 2 | 257 | 13 |
| 3 | 2370 | 13 |
| 0 | 9064 | 13 |
| 0 | 26 | 164 |
| 0 | 49 | 146 |
| 1 | 221 | 138 |
| 2 | 1576 | 136 |
| 0 | 8113 | 134 |
| 0 | 14 | 50 |
| 0 | 26 | 50 |
| 1 | 119 | 50 |
| 2 | 767 | 50 |
| 3 | 7294 | 50 |
| 0 | 8523 | 50 |
| 0 | 33 | 221 |
| 0 | 65 | 203 |
| 1 | 323 | 199 |
| 2 | 2428 | 199 |
| 0 | 8721 | 193 |
| 0 | 153 | 1510 |
| 1 | 411 | 1510 |
| 2 | 956 | 1510 |
| 3 | 2320 | 1510 |
| 4 | 4886 | 1510 |
| 0 | 8405 | 1417 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 734 to 327 computations (55.4% saved)
(abs x)
Compiled 618 to 188 computations (69.6% saved)
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