
Time bar (total: 8.8s)
| 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)
| 388.0ms | 8 256× | 0 | valid |
ival-exp: 119.0ms (47.6% of total)ival-div: 52.0ms (20.8% of total)ival-add: 36.0ms (14.4% of total)ival-neg: 31.0ms (12.4% of total)ival-true: 5.0ms (2% of total)exact: 4.0ms (1.6% of total)ival-assert: 3.0ms (1.2% 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 |
| 34.0ms | 512× | 0 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-exp: 13.0ms (61.1% of total)ival-div: 3.0ms (14.1% of total)ival-add: 2.0ms (9.4% of total)ival-neg: 2.0ms (9.4% 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% | (neg.f64 x) |
| ✓ | 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)))) |
| 17.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-exp: 7.0ms (62.7% of total)ival-div: 2.0ms (17.9% of total)ival-add: 1.0ms (9% of total)ival-neg: 1.0ms (9% 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))> |
#<alt (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))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
15 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 | @ | inf | (neg x) |
| 0.0ms | x | @ | 0 | (+ (exp x) (exp (neg 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 | 21 |
| 0 | 12 | 17 |
| 1 | 42 | 15 |
| 2 | 257 | 15 |
| 3 | 2370 | 15 |
| 0 | 9064 | 15 |
| 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)) |
(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))))) |
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(*.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)) |
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(*.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)))) |
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(*.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)) |
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(*.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)))) |
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(*.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)) |
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(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
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(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)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 x))))) |
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(/.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)))) |
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(*.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))) |
(log.f64 (exp.f64 (neg.f64 x))) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 (neg.f64 x))))) |
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(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 (exp.f64 x))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(neg.f64 x) |
(neg.f64 (log.f64 (neg.f64 (neg.f64 (exp.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (neg.f64 (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))) x) |
(pow.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (neg.f64 (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
| 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 | 307 |
| 1 | 162 | 306 |
| 2 | 359 | 302 |
| 3 | 921 | 302 |
| 4 | 1406 | 302 |
| 5 | 2068 | 302 |
| 6 | 3397 | 302 |
| 7 | 4663 | 302 |
| 8 | 5970 | 302 |
| 9 | 7535 | 302 |
| 0 | 8007 | 280 |
| 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)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Compiled 8 941 to 1 537 computations (82.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 481 | 7 | 488 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 482 | 7 | 489 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.7% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| 93.1% | (/.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))) | |
| ▶ | 90.4% | (/.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))) |
| ▶ | 80.9% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| 41.4% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))))) | |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ▶ | 52.3% | #s(literal 1 binary64) |
Compiled 146 to 92 computations (37% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | (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)) |
| 1 200× | lower-fma.f32 |
| 1 192× | lower-fma.f64 |
| 648× | lower-*.f32 |
| 644× | lower-*.f64 |
| 232× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 76 |
| 0 | 28 | 76 |
| 1 | 53 | 73 |
| 2 | 90 | 73 |
| 3 | 110 | 73 |
| 4 | 125 | 73 |
| 5 | 135 | 73 |
| 6 | 187 | 73 |
| 7 | 248 | 73 |
| 8 | 352 | 73 |
| 9 | 444 | 73 |
| 10 | 543 | 73 |
| 11 | 657 | 73 |
| 12 | 897 | 73 |
| 13 | 1164 | 73 |
| 14 | 1271 | 73 |
| 15 | 1329 | 73 |
| 16 | 1372 | 73 |
| 17 | 1403 | 73 |
| 18 | 1418 | 73 |
| 19 | 1420 | 73 |
| 0 | 1420 | 70 |
| 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 |
(/.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) |
| 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 |
(/.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) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (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 | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 2 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 46.0ms | 256× | 0 | valid |
Compiled 86 to 20 computations (76.7% saved)
ival-div: 10.0ms (35.2% of total)ival-mult: 7.0ms (24.7% of total)ival-add: 5.0ms (17.6% of total)const: 4.0ms (14.1% of total)ival-cosh: 3.0ms (10.6% 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 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 (/.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))> |
| 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) (- (* (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))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | x | @ | -inf | (/ 1 (cosh x)) |
| 2.0ms | x | @ | inf | (/ 1 (cosh x)) |
| 1.0ms | x | @ | inf | (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) |
| 0.0ms | x | @ | inf | (/ 2 (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2)) |
| 0.0ms | x | @ | inf | (+ (* -1/2 (* x x)) 1) |
| 1× | batch-egg-rewrite |
| 9 862× | lower-fma.f32 |
| 9 854× | lower-fma.f64 |
| 5 486× | lower-*.f32 |
| 5 482× | lower-*.f64 |
| 3 636× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 0 | 28 | 62 |
| 1 | 123 | 59 |
| 2 | 799 | 59 |
| 3 | 7913 | 59 |
| 0 | 8617 | 56 |
| 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)) |
(/.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)) |
| 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)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cosh.f64 x))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x))) |
(cosh.f64 x) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x)))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.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)) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/512 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) #s(literal 1/2 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 1/16 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/2985984 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)))) (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/20736 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)))) |
(*.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))) (*.f64 x (*.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))))) (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/2985984 binary64)))) (fma.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))) (-.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/20736 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))))) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x)) (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x) |
| 1× | egg-herbie |
| 10 846× | lower-fma.f64 |
| 10 846× | lower-fma.f32 |
| 4 380× | lower-*.f64 |
| 4 380× | lower-*.f32 |
| 2 170× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 942 |
| 1 | 314 | 912 |
| 2 | 775 | 912 |
| 3 | 2183 | 908 |
| 4 | 5845 | 908 |
| 0 | 8388 | 842 |
| 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) (- (* (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)) |
| 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 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ (exp 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 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 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (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 x (*.f64 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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #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 (* -1/12 (pow x 2)))) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4)) |
(/.f64 (+.f64 (+.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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
Compiled 21 402 to 1 738 computations (91.9% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 676 | 10 | 686 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 677 | 16 | 693 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.7% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| 41.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 57.3% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) | |
| ▶ | 90.4% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
| 90.4% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) | |
| 93.1% | (/.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))) | |
| ▶ | 90.4% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
| ✓ | 80.9% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| 54.1% | (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x (*.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 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64))))) | |
| 41.4% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))))) | |
| 41.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) | |
| ▶ | 41.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
| ▶ | 32.1% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ▶ | 93.1% | (/.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))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ✓ | 52.3% | #s(literal 1 binary64) |
Compiled 435 to 253 computations (41.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| 1 062× | lower-fma.f32 |
| 1 048× | lower-fma.f64 |
| 478× | lower-*.f32 |
| 462× | lower-*.f64 |
| 254× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 199 |
| 0 | 53 | 182 |
| 1 | 115 | 178 |
| 2 | 238 | 176 |
| 3 | 430 | 176 |
| 4 | 591 | 176 |
| 5 | 616 | 176 |
| 6 | 747 | 176 |
| 7 | 754 | 176 |
| 8 | 762 | 176 |
| 9 | 763 | 176 |
| 0 | 763 | 171 |
| 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 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 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 x 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)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 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) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
#s(literal 2 binary64) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
x |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(*.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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) |
x |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) |
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x) |
(*.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(fma.f64 x x #s(literal 2 binary64)) |
| Outputs |
|---|
(/.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) |
(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 x 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)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 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) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(literal 2 binary64) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
x |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(*.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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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))) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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)) |
x |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 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))) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x 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)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(fma.f64 x x #s(literal 2 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 99.9% | (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)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal 1/720 binary64)) |
| 65.0ms | 256× | 0 | valid |
Compiled 220 to 35 computations (84.1% saved)
ival-mult: 21.0ms (43.1% of total)ival-div: 10.0ms (20.5% of total)const: 9.0ms (18.5% of total)ival-add: 7.0ms (14.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.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)))> |
#<alt (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))> |
#<alt (*.f64 x x)> |
#<alt (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))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x x))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))> |
#<alt (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))> |
#<alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))> |
#<alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64))> |
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))> |
#<alt (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))> |
#<alt (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)> |
#<alt (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)> |
#<alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x #s(literal 1/720 binary64))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))> |
#<alt (*.f64 x #s(literal 1/12 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 (/ 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 (* 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 (* -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 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 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 (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 (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<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 (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) 1)) |
| 0.0ms | x | @ | 0 | (/ 2 (* x (* x (* (* x x) 1/12)))) |
| 0.0ms | x | @ | 0 | (/ 2 (* x x)) |
| 0.0ms | x | @ | -inf | (* x 1/720) |
| 0.0ms | x | @ | -inf | (* x (* (* x x) 1/12)) |
| 1× | batch-egg-rewrite |
| 7 686× | lower-fma.f32 |
| 7 672× | lower-fma.f64 |
| 4 056× | lower-/.f32 |
| 4 048× | lower-/.f64 |
| 3 968× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 167 |
| 0 | 53 | 150 |
| 1 | 236 | 146 |
| 2 | 1655 | 146 |
| 0 | 8163 | 141 |
| 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 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) (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 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 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) |
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x #s(literal 1/720 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/12 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.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 0 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 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.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 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (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) (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 (*.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))) (fma.f64 (*.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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (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) (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 (*.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))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.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 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 -1 binary64) (-.f64 #s(literal -1 binary64) (*.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))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.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 (*.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 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (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) (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 (*.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) (*.f64 (*.f64 x x) (*.f64 (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) (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 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (*.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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (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) (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 (neg.f64 (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))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.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)) |
(pow.f64 (pow.f64 (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 -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (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))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (*.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 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 (/.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)) |
(*.f64 #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 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.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 1 binary64) (fma.f64 (*.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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (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) (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 (*.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 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.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 -1/2 binary64)) (pow.f64 (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 -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (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) (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 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (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) (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 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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) (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 (*.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))) |
(+.f64 #s(literal 1 binary64) (*.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)))) |
(+.f64 (*.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) (*.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) |
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(*.f64 x #s(literal 1/12 binary64)) |
(*.f64 #s(literal 1/12 binary64) x) |
| 1× | egg-herbie |
| 10 948× | lower-fma.f64 |
| 10 948× | lower-fma.f32 |
| 3 404× | lower-*.f64 |
| 3 404× | lower-*.f32 |
| 2 350× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1628 |
| 1 | 330 | 1586 |
| 2 | 797 | 1578 |
| 3 | 2081 | 1570 |
| 4 | 5723 | 1570 |
| 0 | 8323 | 1475 |
| 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)) |
(/ 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)) |
(* 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 (* -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)) |
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))))) |
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)) |
(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) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
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))))) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
| 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 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
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 x (*.f64 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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(* 1/720 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) 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) |
1/2 |
#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)) |
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(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
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)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
Compiled 28 490 to 1 898 computations (93.3% saved)
28 alts after pruning (21 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 948 | 16 | 964 |
| Fresh | 2 | 5 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 952 | 28 | 980 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.7% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ▶ | 31.5% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| 42.5% | (/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 43.9% | (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 41.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 57.3% | (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) | |
| ✓ | 90.4% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
| ✓ | 80.9% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| 54.1% | (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x (*.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 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64))))) | |
| 41.4% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))))) | |
| 41.3% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) | |
| 41.3% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x)) | |
| ▶ | 41.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
| 41.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) | |
| ✓ | 32.1% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ▶ | 93.1% | (/.f64 #s(literal 1 binary64) (fma.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)))) |
| 57.3% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (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))) | |
| ✓ | 93.1% | (/.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))) |
| 54.0% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 64.6% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| 93.0% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 56.9% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) | |
| ▶ | 92.9% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
| 92.9% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) | |
| 43.9% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) | |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ✓ | 52.3% | #s(literal 1 binary64) |
Compiled 976 to 514 computations (47.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 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 | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) 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 | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.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)))) |
| ✓ | cost-diff | 640 | (fma.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))) |
| 6 902× | lower-fma.f32 |
| 6 888× | lower-fma.f64 |
| 3 696× | lower-*.f32 |
| 3 672× | lower-*.f64 |
| 1 492× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 371 |
| 0 | 74 | 344 |
| 1 | 165 | 317 |
| 2 | 388 | 312 |
| 3 | 1077 | 312 |
| 4 | 2261 | 312 |
| 5 | 4834 | 312 |
| 0 | 8198 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.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)))) |
#s(literal 1 binary64) |
(fma.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))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 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 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
#s(literal 2 binary64) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
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 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (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))) |
(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) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
#s(literal 1/24 binary64) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) |
#s(literal 1/576 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) |
#s(literal 1/518400 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.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)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.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))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(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)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 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 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))) |
#s(literal 2 binary64) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)) |
x |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
(fma.f64 (*.f64 x (*.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 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 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))) |
(*.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) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 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) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (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) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) |
#s(literal 1/576 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) |
#s(literal 1/518400 binary64) |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal 1/720 binary64)) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) |
| ✓ | accuracy | 62.2% | (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (fma.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)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| 86.0ms | 256× | 0 | valid |
Compiled 396 to 47 computations (88.1% saved)
ival-mult: 26.0ms (41.7% of total)const: 14.0ms (22.5% of total)ival-div: 13.0ms (20.9% of total)ival-add: 7.0ms (11.2% of total)ival-sub: 2.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (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)))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.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))))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))> |
#<alt (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))> |
#<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 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))> |
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))> |
#<alt (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))> |
#<alt (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))> |
#<alt (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))> |
#<alt (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))> |
#<alt (*.f64 x #s(literal 1/720 binary64))> |
#<alt (*.f64 x (*.f64 x #s(literal 1/720 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 1/24> |
#<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 (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 (/ 2 (pow x 2))> |
#<alt (/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))> |
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))> |
#<alt (/ 24 (pow x 4))> |
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (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))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (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))))> |
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))> |
#<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 (* -1/24 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (- (* -1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* 1/576 (pow x 2)) 1/720)) 1/24)))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19958400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19958400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt 1> |
#<alt (+ 1 (* 1/24 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (+ 1/24 (* 1/720 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 4) (+ 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 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (* 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 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* (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 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 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 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 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 1/24> |
#<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) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt 1/576> |
#<alt (+ 1/576 (* -1/518400 (pow x 4)))> |
#<alt (+ 1/576 (* -1/518400 (pow x 4)))> |
#<alt (+ 1/576 (* -1/518400 (pow x 4)))> |
#<alt (* -1/518400 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))> |
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))> |
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))> |
#<alt (* -1/518400 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))> |
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))> |
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))> |
#<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 (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 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (* 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)))))> |
#<alt 24> |
#<alt (+ 24 (* -4/5 (pow x 2)))> |
#<alt (+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5)))> |
#<alt (+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5)))> |
#<alt (/ 720 (pow x 2))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2))> |
#<alt (/ 720 (pow x 2))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/518400 (pow x 2))> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ 1 (/ (- 1/24 (* x (* x 1/720))) (- 1/576 (* (* x x) (* (* x x) 1/518400))))) |
| 0.0ms | x | @ | -inf | (* x (+ (* (* x x) 1/720) 1/24)) |
| 0.0ms | x | @ | inf | (/ 1 (/ (- 1/24 (* x (* x 1/720))) (- 1/576 (* (* x x) (* (* x x) 1/518400))))) |
| 0.0ms | x | @ | inf | (/ 1 (+ (* (* x x) (+ (* (* x x) (/ 1 (/ (- 1/24 (* x (* x 1/720))) (- 1/576 (* (* x x) (* (* x x) 1/518400)))))) 1/2)) 1)) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (* x (* x (+ (* (* x x) 1/720) 1/24)))) 1) |
| 1× | batch-egg-rewrite |
| 5 744× | lower-fma.f32 |
| 5 730× | lower-fma.f64 |
| 5 630× | lower-*.f32 |
| 5 606× | lower-*.f64 |
| 5 348× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 260 |
| 0 | 74 | 215 |
| 1 | 326 | 192 |
| 2 | 2468 | 192 |
| 0 | 9210 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.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))) |
(/.f64 #s(literal 1 binary64) (fma.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)))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) |
(*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (*.f64 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)) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 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 0 binary64) (/.f64 (fma.f64 x (*.f64 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))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 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 x (*.f64 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 x (*.f64 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 1 binary64) (fma.f64 x (*.f64 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 (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 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 x (*.f64 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 x (*.f64 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)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 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 x (*.f64 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 1 binary64) (fma.f64 x (*.f64 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 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (*.f64 x (*.f64 (*.f64 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 x (*.f64 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 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 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 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
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(*.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal -1/576 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (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 (pow.f64 (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 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/373248000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/576 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.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 -1/139314069504000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64)) #s(literal 1/331776 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/373248000 binary64))) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.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 -1/139314069504000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64)) #s(literal 1/331776 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/373248000 binary64))) (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.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 -1/139314069504000000 binary64)))) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64)) #s(literal 1/331776 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64)))) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.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 -1/139314069504000000 binary64)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64)) #s(literal 1/331776 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/373248000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal -1/576 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.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 -1/139314069504000000 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64)) #s(literal 1/331776 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (pow.f64 (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 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/373248000 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/576 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))))) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/518400 binary64)) x) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) x) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/720 binary64)) x) |
| 1× | egg-herbie |
| 11 616× | lower-fma.f64 |
| 11 616× | lower-fma.f32 |
| 3 664× | lower-*.f64 |
| 3 664× | lower-*.f32 |
| 2 814× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 2190 |
| 1 | 503 | 2154 |
| 2 | 1189 | 2130 |
| 3 | 3185 | 2130 |
| 4 | 6341 | 2130 |
| 0 | 8174 | 2011 |
| 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)) |
1/24 |
(+ 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))))) |
(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) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2)) |
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2)) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2)) |
(/ 24 (pow x 4)) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4)) |
(/ 24 (pow x 4)) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 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)))) |
(* (pow x 4) (+ 1/12 (/ 1 (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)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
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 (* -1/24 (pow x 4))) |
(+ 1 (* (pow x 4) (- (* -1/720 (pow x 2)) 1/24))) |
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* 1/576 (pow x 2)) 1/720)) 1/24))) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19958400 (/ 1 (pow x 6))))) (pow x 6)) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19958400 (/ 1 (pow x 6))))) (pow x 6)) |
1 |
(+ 1 (* 1/24 (pow x 4))) |
(+ 1 (* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))) |
(+ 1 (* (pow x 4) (+ 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 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/720 (+ (* 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 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/720 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 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 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 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 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 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))))) |
1/24 |
(+ 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) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
1/576 |
(+ 1/576 (* -1/518400 (pow x 4))) |
(+ 1/576 (* -1/518400 (pow x 4))) |
(+ 1/576 (* -1/518400 (pow x 4))) |
(* -1/518400 (pow x 4)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* -1/518400 (pow x 4)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
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)) |
(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 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 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))))) |
24 |
(+ 24 (* -4/5 (pow x 2))) |
(+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5))) |
(+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5))) |
(/ 720 (pow x 2)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2)) |
(/ 720 (pow x 2)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (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 (*.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 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 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.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 (*.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 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.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 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 x 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 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x 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 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x 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 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
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)) |
(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) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/72 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/864 binary64) #s(literal 1/72 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.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 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -288 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (/.f64 #s(literal 41472 binary64) (*.f64 (*.f64 x (*.f64 x 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 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
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x |
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1 |
#s(literal 1 binary64) |
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(* 1/720 (pow x 6)) |
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(* (pow x 6) (+ 1/720 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
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(* (pow x 6) (+ 1/720 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
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1/24 |
#s(literal 1/24 binary64) |
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1/24 |
#s(literal 1/24 binary64) |
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1/576 |
#s(literal 1/576 binary64) |
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(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) |
1 |
#s(literal 1 binary64) |
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(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)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* 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))) |
24 |
#s(literal 24 binary64) |
(+ 24 (* -4/5 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) |
(+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/75 binary64)) #s(literal -4/5 binary64)) #s(literal 24 binary64)) |
(+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 24 binary64)) |
(/ 720 (pow x 2)) |
(/.f64 #s(literal 720 binary64) (*.f64 x x)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -19440000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ 720 (pow x 2)) |
(/.f64 #s(literal 720 binary64) (*.f64 x x)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -19440000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/518400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/518400 binary64))) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
Compiled 76 075 to 5 735 computations (92.5% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 760 | 7 | 1 767 |
| Fresh | 7 | 9 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 771 | 24 | 1 795 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.7% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | 31.5% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| 42.5% | (/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 43.9% | (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) | |
| 43.9% | (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 41.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ✓ | 90.4% | (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
| ✓ | 80.9% | (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
| 41.4% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))))) | |
| 41.3% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) | |
| 41.3% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x)) | |
| 41.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) | |
| 41.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) | |
| ✓ | 32.1% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 92.9% | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) | |
| 57.3% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (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))) | |
| ✓ | 93.1% | (/.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))) |
| 52.1% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 96.0% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 92.9% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) | |
| 43.9% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) | |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ✓ | 52.3% | #s(literal 1 binary64) |
Compiled 1 068 to 393 computations (63.2% 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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #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))) |
(/.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) (fma.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)))) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x (*.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 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (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 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
3 calls:
| 41.0ms | x |
| 11.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 9.0ms | (/.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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #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))) |
(/.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) (fma.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)))) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x (*.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 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (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 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
3 calls:
| 32.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 10.0ms | x |
| 8.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | x |
| 96.0% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 96.0% | 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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #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))) |
(/.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) (fma.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)))) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.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))) |
3 calls:
| 25.0ms | 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 |
|---|---|---|
| 93.1% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 93.1% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 93.1% | 1 | 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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
3 calls:
| 26.0ms | x |
| 6.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 6.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.0% | 1 | x |
| 93.0% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 93.0% | 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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
3 calls:
| 7.0ms | x |
| 5.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 5.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | x |
| 92.9% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 92.9% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) |
3 calls:
| 6.0ms | x |
| 5.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 5.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | x |
| 92.9% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 92.9% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) |
3 calls:
| 25.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 6.0ms | x |
| 5.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 2 | x |
| 93.1% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 93.1% | 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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
3 calls:
| 6.0ms | x |
| 5.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 5.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 2 | x |
| 93.1% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 93.1% | 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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 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 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
3 calls:
| 55.0ms | 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 |
|---|---|---|
| 90.4% | 1 | x |
| 90.4% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 90.4% | 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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) 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 |
|---|---|---|
| 90.4% | 2 | x |
| 90.4% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 90.4% | 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) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 2 | x |
| 90.4% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 90.4% | 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) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 1 | x |
| 80.9% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 80.9% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #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:
| 30.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 2.0ms | x |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 2 | x |
| 80.9% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 80.9% | 2 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
Total -0.4b remaining (-1.5%)
Threshold costs -0.4b (-1.5%)
| 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:
| 1.0ms | 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 |
|---|---|---|
| 52.3% | 1 | x |
| 52.3% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 52.3% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.917203561343907 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.917203561343907 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000000000002576 | 5.917203561343907 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.917203561343907 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000000000002576 | 5.917203561343907 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 42× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 263 |
| 1 | 101 | 263 |
| 2 | 115 | 263 |
| 3 | 127 | 263 |
| 4 | 133 | 263 |
| 5 | 136 | 263 |
| 6 | 137 | 263 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 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))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 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)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 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))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))) |
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 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) |
| 15 580× | lower-fma.f64 |
| 15 580× | lower-fma.f32 |
| 11 616× | lower-fma.f64 |
| 11 616× | lower-fma.f32 |
| 10 948× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 17 |
| 1 | 42 | 15 |
| 2 | 257 | 15 |
| 3 | 2370 | 15 |
| 0 | 9064 | 15 |
| 0 | 38 | 260 |
| 0 | 74 | 215 |
| 1 | 326 | 192 |
| 2 | 2468 | 192 |
| 0 | 9210 | 185 |
| 0 | 192 | 2190 |
| 1 | 503 | 2154 |
| 2 | 1189 | 2130 |
| 3 | 3185 | 2130 |
| 4 | 6341 | 2130 |
| 0 | 8174 | 2011 |
| 0 | 15 | 62 |
| 0 | 28 | 62 |
| 1 | 123 | 59 |
| 2 | 799 | 59 |
| 3 | 7913 | 59 |
| 0 | 8617 | 56 |
| 0 | 66 | 307 |
| 1 | 162 | 306 |
| 2 | 359 | 302 |
| 3 | 921 | 302 |
| 4 | 1406 | 302 |
| 5 | 2068 | 302 |
| 6 | 3397 | 302 |
| 7 | 4663 | 302 |
| 8 | 5970 | 302 |
| 9 | 7535 | 302 |
| 0 | 8007 | 280 |
| 0 | 116 | 1628 |
| 1 | 330 | 1586 |
| 2 | 797 | 1578 |
| 3 | 2081 | 1570 |
| 4 | 5723 | 1570 |
| 0 | 8323 | 1475 |
| 0 | 27 | 167 |
| 0 | 53 | 150 |
| 1 | 236 | 146 |
| 2 | 1655 | 146 |
| 0 | 8163 | 141 |
| 0 | 117 | 942 |
| 1 | 314 | 912 |
| 2 | 775 | 912 |
| 3 | 2183 | 908 |
| 4 | 5845 | 908 |
| 0 | 8388 | 842 |
| 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× | node 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 728 to 349 computations (52.1% saved)
(abs x)
Compiled 566 to 176 computations (68.9% saved)
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