
Time bar (total: 9.1s)
| 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 8 computations (20% saved)
ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 504.0ms | 8256× | 0 | valid |
ival-exp: 151.0ms (46.1% of total)ival-div: 74.0ms (22.6% of total)ival-add: 46.0ms (14.1% of total)ival-neg: 39.0ms (11.9% of total)const: 15.0ms (4.6% of total)backward-pass: 3.0ms (0.9% of total)| 2× | egg-herbie |
| 128× | fmsub-define |
| 120× | fnmsub-define |
| 112× | fnmadd-define |
| 80× | fma-define |
| 80× | fmm-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 30 | 24 |
| 2 | 61 | 24 |
| 3 | 108 | 24 |
| 4 | 191 | 24 |
| 5 | 294 | 24 |
| 6 | 384 | 24 |
| 7 | 482 | 24 |
| 8 | 523 | 24 |
| 9 | 541 | 24 |
| 10 | 565 | 24 |
| 11 | 573 | 24 |
| 0 | 7 | 8 |
| 1 | 14 | 8 |
| 2 | 21 | 8 |
| 3 | 25 | 8 |
| 4 | 34 | 8 |
| 5 | 41 | 8 |
| 6 | 49 | 8 |
| 7 | 57 | 8 |
| 8 | 60 | 8 |
| 9 | 61 | 8 |
| 0 | 61 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
| Outputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
| Inputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
(/ 2 (+ (exp (neg x)) (exp (neg (neg x))))) |
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))) |
| Outputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
(/ 2 (+ (exp x) (recip (exp x)))) |
(/ 2 (+ (exp (neg x)) (exp (neg (neg x))))) |
(/ 2 (+ (exp x) (recip (exp x)))) |
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))) |
(/ -2 (+ (exp x) (recip (exp x)))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 1 | (179.45250522461853) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 59.0ms | 512× | 0 | valid |
Compiled 59 to 23 computations (61% saved)
ival-exp: 32.0ms (77.2% of total)ival-div: 4.0ms (9.6% of total)ival-add: 3.0ms (7.2% of total)ival-neg: 2.0ms (4.8% of total)const: 1.0ms (2.4% of total)backward-pass: 0.0ms (0% of total)Compiled 10 to 7 computations (30% 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 | -64 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | -64 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | -64 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| 16× | *-lowering-*.f32 |
| 16× | *-lowering-*.f64 |
| 12× | fma-lowering-fma.f32 |
| 12× | fma-define |
| 12× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 14 | 23 |
| 2 | 21 | 23 |
| 3 | 25 | 23 |
| 4 | 34 | 23 |
| 5 | 41 | 23 |
| 6 | 49 | 23 |
| 7 | 57 | 23 |
| 8 | 60 | 23 |
| 9 | 61 | 23 |
| 0 | 61 | 23 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
2 |
(+ (exp x) (exp (neg x))) |
(exp x) |
x |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
2 |
#s(literal 2 binary64) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(exp x) |
(exp.f64 x) |
x |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) 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)))) |
| 24.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-exp: 4.0ms (44.8% of total)ival-div: 2.0ms (22.4% of total)ival-add: 1.0ms (11.2% of total)ival-neg: 1.0ms (11.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (exp x)> |
#<alt (/ 2 (+ (exp x) (exp (neg x))))> |
#<alt (+ (exp x) (exp (neg x)))> |
#<alt (exp (neg x))> |
#<alt (neg x)> |
| Outputs |
|---|
#<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 (* -1/2 (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 (* -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) |
| 1× | batch-egg-rewrite |
| 3916× | *-lowering-*.f32 |
| 3916× | *-lowering-*.f64 |
| 2488× | /-lowering-/.f32 |
| 2488× | /-lowering-/.f64 |
| 1922× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 37 | 14 |
| 2 | 275 | 14 |
| 3 | 2602 | 14 |
| 0 | 9652 | 14 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp x) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(+ (exp x) (exp (neg x))) |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(exp.f64 x) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.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 x #s(literal -2 binary64)))) |
(*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.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))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (exp.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(+.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.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 2 binary64))) (/.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 #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))))) |
(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))) |
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))) |
(fma.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.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 2 binary64))) (/.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 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (exp.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (exp.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 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (cosh.f64 x) #s(literal 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) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #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 #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (*.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 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 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 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) 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)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x))) |
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) x)) (exp.f64 (/.f64 (*.f64 x x) x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(+.f64 (log.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (log.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(+.f64 (log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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) (/.f64 (*.f64 x 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 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(neg.f64 x) |
(neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 2314× | fma-lowering-fma.f32 |
| 2314× | fma-lowering-fma.f64 |
| 2106× | sum3-define |
| 1968× | sum4-define |
| 1762× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 303 |
| 1 | 170 | 284 |
| 2 | 460 | 280 |
| 3 | 1283 | 280 |
| 4 | 2683 | 280 |
| 5 | 4419 | 280 |
| 6 | 7120 | 280 |
| 0 | 8043 | 280 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 2 (+ (exp 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 (* -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 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (neg x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ 2 (+ (exp x) (exp (* -1 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(+.f64 #s(literal 2 binary64) (*.f64 x x)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
Compiled 7332 to 1190 computations (83.8% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 386 | 8 | 394 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 387 | 8 | 395 |
| Status | Accuracy | Program |
|---|---|---|
| 90.0% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) | |
| 94.5% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) | |
| 76.5% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) | |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ▶ | 50.3% | (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 50.4% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
| ▶ | 50.4% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
| ▶ | 50.6% | #s(literal 1 binary64) |
Compiled 230 to 146 computations (36.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 7168 | (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 3880× | *-lowering-*.f32 |
| 3880× | *-lowering-*.f64 |
| 1846× | +-lowering-+.f64 |
| 1846× | +-lowering-+.f32 |
| 1754× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 215 |
| 1 | 105 | 197 |
| 2 | 330 | 194 |
| 3 | 882 | 194 |
| 4 | 2321 | 194 |
| 5 | 4581 | 194 |
| 0 | 8176 | 194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cosh x)) |
1 |
(cosh x) |
x |
1 |
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24)))) |
1 |
(* (* x x) (+ -1/2 (* (* x x) 5/24))) |
(* x x) |
x |
(+ -1/2 (* (* x x) 5/24)) |
-1/2 |
(* (* x x) 5/24) |
5/24 |
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))) |
1 |
(* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))) |
(* x x) |
x |
(+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))) |
-1/2 |
(* x (* x (+ 5/24 (* (* x x) -61/720)))) |
(* x (+ 5/24 (* (* x x) -61/720))) |
(+ 5/24 (* (* x x) -61/720)) |
5/24 |
(* (* x x) -61/720) |
-61/720 |
(+ (* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1)) (* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2)))) |
(* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1)) |
(/ 2 (* 2 (cosh (* x 3)))) |
2 |
(* 2 (cosh (* x 3))) |
(cosh (* x 3)) |
(* x 3) |
x |
3 |
(- (exp (* x -2)) 1) |
(* x -2) |
-2 |
(* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2))) |
(exp (* x 2)) |
(* x 2) |
| Outputs |
|---|
(/ 1 (cosh x)) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
1 |
#s(literal 1 binary64) |
(cosh x) |
(cosh.f64 x) |
x |
1 |
#s(literal 1 binary64) |
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/2 (* (* x x) 5/24))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(+ -1/2 (* (* x x) 5/24)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(* (* x x) 5/24) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
5/24 |
#s(literal 5/24 binary64) |
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))))) |
(* x x) |
(*.f64 x x) |
x |
(+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64)))))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (* x (+ 5/24 (* (* x x) -61/720)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
(* x (+ 5/24 (* (* x x) -61/720))) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
(+ 5/24 (* (* x x) -61/720)) |
(+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64)))) |
5/24 |
#s(literal 5/24 binary64) |
(* (* x x) -61/720) |
(*.f64 x (*.f64 x #s(literal -61/720 binary64))) |
-61/720 |
#s(literal -61/720 binary64) |
(+ (* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1)) (* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1)) |
(/.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(/ 2 (* 2 (cosh (* x 3)))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
2 |
#s(literal 2 binary64) |
(* 2 (cosh (* x 3))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(cosh (* x 3)) |
(cosh.f64 (*.f64 x #s(literal 3 binary64))) |
(* x 3) |
(*.f64 x #s(literal 3 binary64)) |
x |
3 |
#s(literal 3 binary64) |
(- (exp (* x -2)) 1) |
(expm1.f64 (*.f64 x #s(literal -2 binary64))) |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2))) |
(/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(exp (* x 2)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.9% | (cosh.f64 (*.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 266.0ms | 127× | 5 | exit |
| 94.0ms | 113× | 1 | valid |
| 18.0ms | 9× | 3 | valid |
| 2.0ms | 2× | 2 | valid |
| 2.0ms | 5× | 0 | valid |
Compiled 235 to 34 computations (85.5% saved)
ival-mult: 70.0ms (25.7% of total)backward-pass: 59.0ms (21.7% of total)compiled-spec: 32.0ms (11.8% of total)ival-cosh: 25.0ms (9.2% of total)ival-exp: 23.0ms (8.5% of total)ival-add: 18.0ms (6.6% of total)ival-div: 18.0ms (6.6% of total)...c/correct-round.rkt:119:19: 18.0ms (6.6% of total)ival-sub: 7.0ms (2.6% of total)const: 3.0ms (1.1% of total)| Inputs |
|---|
#<alt (/ 1 (cosh x))> |
#<alt (cosh x)> |
#<alt (+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))> |
#<alt (* (* x x) (+ -1/2 (* (* x x) 5/24)))> |
#<alt (* x x)> |
#<alt (+ -1/2 (* (* x x) 5/24))> |
#<alt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))))> |
#<alt (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))> |
#<alt (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))> |
#<alt (+ (* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1)) (* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2))))> |
#<alt (* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1))> |
#<alt (* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2)))> |
#<alt (/ 2 (* 2 (cosh (* x 3))))> |
#<alt (* (* x x) 5/24)> |
#<alt (* x (+ 5/24 (* (* x x) -61/720)))> |
#<alt (* x (* x (+ 5/24 (* (* x x) -61/720))))> |
#<alt (* (* x x) -61/720)> |
#<alt (cosh (* x 3))> |
#<alt (exp (* x 2))> |
| 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 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (* 5/24 (pow x 4))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 5/24 (pow x 4))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))> |
#<alt (* 5/24 (pow x 4))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 5/24 (pow x 4))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt -1/2> |
#<alt (- (* 5/24 (pow x 2)) 1/2)> |
#<alt (- (* 5/24 (pow x 2)) 1/2)> |
#<alt (- (* 5/24 (pow x 2)) 1/2)> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt -1/2> |
#<alt (- (* 5/24 (pow x 2)) 1/2)> |
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)> |
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)> |
#<alt (* -61/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -61/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt 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 (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))> |
#<alt (- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))> |
#<alt (- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))> |
#<alt (- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))> |
#<alt (- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))> |
#<alt (- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))> |
#<alt (- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))> |
#<alt (- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 2 x) 2))> |
#<alt (* x (- (* x (+ 2 (* 23/3 x))) 2))> |
#<alt (* x (- (* x (+ 2 (* x (+ 23/3 (* -25/3 x))))) 2))> |
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* -5/2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (- (* -23/3 x) 5/2)))))> |
#<alt (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))> |
#<alt 1> |
#<alt (+ 1 (* -9/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))> |
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* 5/24 x)> |
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* -61/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* -61/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))> |
#<alt (* 5/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* -61/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* -61/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 9/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (+ (* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1)) (* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2)))) |
| 3.0ms | x | @ | inf | (* x (+ 5/24 (* (* x x) -61/720))) |
| 3.0ms | x | @ | inf | (+ (* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1)) (* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2)))) |
| 2.0ms | x | @ | inf | (/ 1 (cosh x)) |
| 1.0ms | x | @ | inf | (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))) |
| 1× | batch-egg-rewrite |
| 3884× | *-lowering-*.f32 |
| 3884× | *-lowering-*.f64 |
| 2764× | +-lowering-+.f64 |
| 2764× | +-lowering-+.f32 |
| 2632× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 170 |
| 1 | 201 | 151 |
| 2 | 1847 | 151 |
| 0 | 8577 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cosh x)) |
(cosh x) |
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24)))) |
(* (* x x) (+ -1/2 (* (* x x) 5/24))) |
(* x x) |
(+ -1/2 (* (* x x) 5/24)) |
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))) |
(* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))) |
(+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))) |
(+ (* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1)) (* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2)))) |
(* (/ 2 (* 2 (cosh (* x 3)))) (- (exp (* x -2)) 1)) |
(* (/ 2 (* 2 (cosh (* x 3)))) (exp (* x 2))) |
(/ 2 (* 2 (cosh (* x 3)))) |
(* (* x x) 5/24) |
(* x (+ 5/24 (* (* x x) -61/720))) |
(* x (* x (+ 5/24 (* (* x x) -61/720)))) |
(* (* x x) -61/720) |
(cosh (* x 3)) |
(exp (* x 2)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))) |
(cosh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
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(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) #s(literal -1 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) |
(*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) |
(/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (exp.f64 x) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)) (exp.f64 x)) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)))) |
(/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 x (*.f64 x #s(literal 5/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(*.f64 #s(literal 5/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 5/24 binary64)) x) |
(+.f64 (*.f64 x #s(literal 5/24 binary64)) (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 5/24 binary64))) |
(fma.f64 x #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (*.f64 x #s(literal 5/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -61/720 binary64)) (*.f64 x #s(literal 5/24 binary64))) |
(fma.f64 #s(literal 5/24 binary64) x (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5/24 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) x (*.f64 x #s(literal 5/24 binary64))) |
(fma.f64 (*.f64 x #s(literal -61/720 binary64)) (*.f64 x x) (*.f64 x #s(literal 5/24 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -61/720 binary64) (*.f64 x #s(literal 5/24 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 125/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -226981/373248000 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x #s(literal 5/24 binary64)) (*.f64 x #s(literal 5/24 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 5/24 binary64)) (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 5/24 binary64)) (*.f64 x #s(literal 5/24 binary64))) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 5/24 binary64)) (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -226981/373248000 binary64))))) (+.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) #s(literal 5/24 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3721/518400 binary64)))) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -226981/373248000 binary64)))) x) (+.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) #s(literal 5/24 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3721/518400 binary64))) x) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
(*.f64 (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64)))) x) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) x)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -61/720 binary64)))) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) (*.f64 x (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) (*.f64 x (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) (*.f64 x (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
(fma.f64 (*.f64 x #s(literal 5/24 binary64)) x (*.f64 x (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal 5/24 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
(fma.f64 (*.f64 x #s(literal 5/24 binary64)) x (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 x #s(literal 5/24 binary64)) x (*.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -226981/373248000 binary64))))) (+.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -61/720 binary64))) #s(literal 5/24 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3721/518400 binary64)))) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
(*.f64 (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) x) |
(*.f64 x (*.f64 x #s(literal -61/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(*.f64 #s(literal -61/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -61/720 binary64)) x) |
(cosh.f64 (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) |
(*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp.f64 (+.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x)) |
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) x) |
(*.f64 (exp.f64 x) (exp.f64 x)) |
| 1× | egg-herbie |
| 2998× | *-lowering-*.f32 |
| 2998× | *-lowering-*.f64 |
| 1856× | sum3-define |
| 1752× | fma-lowering-fma.f32 |
| 1752× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 2356 |
| 1 | 481 | 2230 |
| 2 | 1296 | 2128 |
| 3 | 3218 | 2021 |
| 4 | 6520 | 2021 |
| 0 | 8183 | 2021 |
| 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 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(* 5/24 (pow x 4)) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* 5/24 (pow x 4)) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)) |
(* 5/24 (pow x 4)) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 5/24 (pow x 4)) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1/2 |
(- (* 5/24 (pow x 2)) 1/2) |
(- (* 5/24 (pow x 2)) 1/2) |
(- (* 5/24 (pow x 2)) 1/2) |
(* 5/24 (pow x 2)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 5/24 (pow x 2)) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
-1/2 |
(- (* 5/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) |
(* -61/720 (pow x 4)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* -61/720 (pow x 4)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
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 (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) |
(- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) |
(- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) |
(- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) |
(- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) |
(- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) |
(- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) |
(- (+ (* 2 (/ (exp (* -2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) (* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) (* 2 (/ 1 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))) |
(* -2 x) |
(* x (- (* 2 x) 2)) |
(* x (- (* x (+ 2 (* 23/3 x))) 2)) |
(* x (- (* x (+ 2 (* x (+ 23/3 (* -25/3 x))))) 2)) |
(* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (- (exp (* -2 x)) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* -5/2 x)))) |
(+ 1 (* x (+ 2 (* x (- (* -23/3 x) 5/2))))) |
(* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
(* 2 (/ (exp (* 2 x)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))) |
1 |
(+ 1 (* -9/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 (pow x 2)) |
(* 5/24 x) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(* -61/720 (pow x 3)) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* -61/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(* 5/24 (pow x 2)) |
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) |
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) |
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) |
(* -61/720 (pow x 4)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* -61/720 (pow x 4)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
1 |
(+ 1 (* 9/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2))))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/ 2 (+ (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(* 5/24 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(* 5/24 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* 5/24 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* 5/24 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
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(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -9/2 binary64) (*.f64 (*.f64 x x) #s(literal 135/8 binary64))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -9/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 135/8 binary64) (*.f64 x (*.f64 x #s(literal -4941/80 binary64))))))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* 5/24 x) |
(*.f64 x #s(literal 5/24 binary64)) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* x (+ 5/24 (* -61/720 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* -61/720 (pow x 3)) |
(*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* -61/720 (pow x 3)) |
(*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* 5/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/24 binary64)) |
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* -61/720 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* -61/720 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 9/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9/2 binary64))) |
(+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 x x) #s(literal 27/8 binary64))))) |
(+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 9/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 27/8 binary64) (*.f64 (*.f64 x x) #s(literal 81/80 binary64)))))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
Compiled 43671 to 3343 computations (92.3% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1233 | 2 | 1235 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1234 | 9 | 1243 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.0% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
| ▶ | 94.5% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
| ▶ | 76.5% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| ▶ | 94.5% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ▶ | 50.4% | (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) #s(literal 1 binary64))) |
| ✓ | 50.4% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
| ✓ | 50.4% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
| ✓ | 50.6% | #s(literal 1 binary64) |
Compiled 225 to 142 computations (36.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.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 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
| 3086× | fma-define |
| 2718× | fma-lowering-fma.f32 |
| 2718× | fma-lowering-fma.f64 |
| 1588× | sum3-define |
| 1038× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 375 |
| 1 | 132 | 330 |
| 2 | 472 | 310 |
| 3 | 1397 | 310 |
| 4 | 2724 | 310 |
| 5 | 3522 | 310 |
| 6 | 4136 | 310 |
| 7 | 4470 | 310 |
| 8 | 4573 | 310 |
| 9 | 4788 | 310 |
| 10 | 5423 | 310 |
| 11 | 5423 | 310 |
| 0 | 5423 | 310 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
1 |
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))) |
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))) |
(* x x) |
x |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))) |
1/2 |
(* (* x x) (+ 1/24 (* (* x x) 1/720))) |
(+ 1/24 (* (* x x) 1/720)) |
1/24 |
(* (* x x) 1/720) |
1/720 |
(/ 2 (+ 2 (* x x))) |
2 |
(+ 2 (* x x)) |
(* x x) |
x |
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))) |
2 |
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))) |
(* (* x x) (+ 1 (* (* x x) 1/12))) |
(* x x) |
x |
(+ 1 (* (* x x) 1/12)) |
1 |
(* (* x x) 1/12) |
1/12 |
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) |
2 |
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))) |
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) |
(* x x) |
x |
(+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))) |
1 |
(* x (* x (+ 1/12 (* x (* x 1/360))))) |
(* x (+ 1/12 (* x (* x 1/360)))) |
(+ 1/12 (* x (* x 1/360))) |
1/12 |
(* x (* x 1/360)) |
(* x 1/360) |
1/360 |
(+ (* (* x x) -1/2) (+ (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) 1)) |
(* (* x x) -1/2) |
(* x x) |
x |
-1/2 |
(+ (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) 1) |
(* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) |
(* (* x x) (* x x)) |
(+ 5/24 (* x (* x -61/720))) |
5/24 |
(* x (* x -61/720)) |
(* x -61/720) |
-61/720 |
1 |
| Outputs |
|---|
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ 1/24 (* (* x x) 1/720))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/24 (* (* x x) 1/720)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) 1/720) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
1/720 |
#s(literal 1/720 binary64) |
(/ 2 (+ 2 (* x x))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x x)) |
(+.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(* (* x x) (+ 1 (* (* x x) 1/12))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1 (* (* x x) 1/12)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
1 |
#s(literal 1 binary64) |
(* (* x x) 1/12) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) |
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/12 (* x (* x 1/360))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) |
(* x (+ 1/12 (* x (* x 1/360)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) |
(+ 1/12 (* x (* x 1/360))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) |
1/12 |
#s(literal 1/12 binary64) |
(* x (* x 1/360)) |
(*.f64 x (*.f64 x #s(literal 1/360 binary64))) |
(* x 1/360) |
(*.f64 x #s(literal 1/360 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
(+ (* (* x x) -1/2) (+ (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) 1)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
(* (* x x) -1/2) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* x x) |
(*.f64 x x) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(+ (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) 1) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) |
(* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(+ 5/24 (* x (* x -61/720))) |
(+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) |
5/24 |
#s(literal 5/24 binary64) |
(* x (* x -61/720)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* x -61/720) |
(*.f64 x #s(literal -61/720 binary64)) |
-61/720 |
#s(literal -61/720 binary64) |
1 |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 x #s(literal -61/720 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal -61/720 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/360 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/360 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.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 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
| 131.0ms | 254× | 0 | valid |
| 4.0ms | 2× | 5 | exit |
Compiled 381 to 44 computations (88.5% saved)
...c/correct-round.rkt:119:19: 34.0ms (39.1% of total)ival-mult: 30.0ms (34.5% of total)ival-add: 14.0ms (16.1% of total)ival-div: 7.0ms (8.1% of total)backward-pass: 1.0ms (1.2% of total)const: 1.0ms (1.2% of total)| Inputs |
|---|
#<alt (/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))> |
#<alt (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))> |
#<alt (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))> |
#<alt (* x x)> |
#<alt (/ 2 (+ 2 (* x x)))> |
#<alt (+ 2 (* x x))> |
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))> |
#<alt (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))> |
#<alt (* (* x x) (+ 1 (* (* x x) 1/12)))> |
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))> |
#<alt (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))> |
#<alt (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))> |
#<alt (+ (* (* x x) -1/2) (+ (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) 1))> |
#<alt (* (* x x) -1/2)> |
#<alt (+ (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) 1)> |
#<alt (* (* x x) 1/720)> |
#<alt (* (* x x) (+ 1/24 (* (* x x) 1/720)))> |
#<alt (* (* x x) 1/12)> |
#<alt (* x 1/360)> |
#<alt (* x (+ 1/12 (* x (* x 1/360))))> |
#<alt (* x (* x 1/360))> |
#<alt (* x -61/720)> |
#<alt (* x (* x -61/720))> |
#<alt (* (* x x) (* x x))> |
#<alt (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720))))> |
| 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 (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 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 (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 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 5/24 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (+ 5/24 (* -61/720 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 4) (+ 5/24 (* -61/720 (pow x 2)))))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 61/720))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 61/720))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 61/720))> |
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 61/720))> |
#<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))> |
#<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 (* 1/12 (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 (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/360 x)> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 x)> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<alt (* -61/720 (pow x 2))> |
#<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 (* 5/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* (pow x 4) (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* (pow x 4) (+ 5/24 (* -61/720 (pow x 2))))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* -61/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))) |
| 0.0ms | x | @ | inf | (/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
| 0.0ms | x | @ | inf | (+ (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) 1) |
| 0.0ms | x | @ | inf | (* x (+ 1/12 (* x (* x 1/360)))) |
| 0.0ms | x | @ | inf | (* (* x x) (+ 1 (* (* x x) 1/12))) |
| 1× | batch-egg-rewrite |
| 4720× | *-lowering-*.f32 |
| 4720× | *-lowering-*.f64 |
| 3488× | /-lowering-/.f32 |
| 3488× | /-lowering-/.f64 |
| 2632× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 269 |
| 1 | 306 | 227 |
| 2 | 2951 | 227 |
| 0 | 10597 | 227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))) |
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))) |
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))) |
(* x x) |
(/ 2 (+ 2 (* x x))) |
(+ 2 (* x x)) |
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))) |
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))) |
(* (* x x) (+ 1 (* (* x x) 1/12))) |
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) |
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))) |
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) |
(+ (* (* x x) -1/2) (+ (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) 1)) |
(* (* x x) -1/2) |
(+ (* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) 1) |
(* (* x x) 1/720) |
(* (* x x) (+ 1/24 (* (* x x) 1/720))) |
(* (* x x) 1/12) |
(* x 1/360) |
(* x (+ 1/12 (* x (* x 1/360)))) |
(* x (* x 1/360)) |
(* x -61/720) |
(* x (* x -61/720)) |
(* (* x x) (* x x)) |
(* (* (* x x) (* x x)) (+ 5/24 (* x (* x -61/720)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) |
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))))) |
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(*.f64 x #s(literal -61/720 binary64)) |
(*.f64 #s(literal -61/720 binary64) x) |
(*.f64 x (*.f64 x #s(literal -61/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(*.f64 #s(literal -61/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -61/720 binary64)) x) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/24 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(fma.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(/.f64 (+.f64 (*.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -226981/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -226981/373248000 binary64)))) (+.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) #s(literal 5/24 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3721/518400 binary64)))) (-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -226981/373248000 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) #s(literal 5/24 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3721/518400 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -226981/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))) (neg.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -226981/373248000 binary64))))) (neg.f64 (+.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) #s(literal 5/24 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3721/518400 binary64))))) (neg.f64 (-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -226981/373248000 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) #s(literal 5/24 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3721/518400 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -226981/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/24 binary64))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 x (*.f64 x x))) x) |
| 1× | egg-herbie |
| 3942× | *-lowering-*.f32 |
| 3942× | *-lowering-*.f64 |
| 2688× | +-lowering-+.f64 |
| 2688× | +-lowering-+.f32 |
| 1718× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 2502 |
| 1 | 538 | 2371 |
| 2 | 1561 | 2317 |
| 3 | 4634 | 2293 |
| 0 | 8160 | 2293 |
| 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)))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
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))))) |
(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)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4))))) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
1 |
(+ 1 (* 5/24 (pow x 4))) |
(+ 1 (* (pow x 4) (+ 5/24 (* -61/720 (pow x 2))))) |
(+ 1 (* (pow x 4) (+ 5/24 (* -61/720 (pow x 2))))) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 61/720)) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 61/720)) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 61/720)) |
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 61/720)) |
(* 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)) |
(* 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))))) |
(* 1/12 (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)) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/360 x) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 x) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(* -61/720 (pow x 2)) |
(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) |
(* 5/24 (pow x 4)) |
(* (pow x 4) (+ 5/24 (* -61/720 (pow x 2)))) |
(* (pow x 4) (+ 5/24 (* -61/720 (pow x 2)))) |
(* (pow x 4) (+ 5/24 (* -61/720 (pow x 2)))) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* -61/720 (pow x 6)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (-.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 21600 binary64) (*.f64 x x)) (/.f64 #s(literal 4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (-.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 21600 binary64) (*.f64 x x)) (/.f64 #s(literal 4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(pow x 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))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 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)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -1/12 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 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.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))) (* 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) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 24 (pow x 4)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4)) |
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#s(literal 2 binary64) |
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#s(literal 2 binary64) |
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(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/360 x) |
(*.f64 x #s(literal 1/360 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* 1/360 (pow x 3)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 x) |
(*.f64 x #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(* -61/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
(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))) |
(* 5/24 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))) |
(* (pow x 4) (+ 5/24 (* -61/720 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 5/24 (* -61/720 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 5/24 (* -61/720 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -61/720 (pow x 6)) |
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x)))) |
(* -61/720 (pow x 6)) |
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x)))) |
Compiled 32045 to 2476 computations (92.3% saved)
22 alts after pruning (13 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 986 | 13 | 999 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 986 | 22 | 1008 |
| Status | Accuracy | Program |
|---|---|---|
| 40.8% | (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 42.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 50.1% | (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))))) | |
| 90.0% | (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))) | |
| 56.0% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))) | |
| ▶ | 94.5% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x))) |
| ✓ | 90.0% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
| 29.9% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 #s(literal 1/1728 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))))))))) | |
| 68.7% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))) | |
| ✓ | 94.5% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
| ✓ | 76.5% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| ▶ | 42.6% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
| 42.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) | |
| ▶ | 29.3% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | 94.5% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
| ▶ | 94.2% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ✓ | 50.4% | (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) #s(literal 1 binary64))) |
| ✓ | 50.4% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
| ✓ | 50.4% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
| ▶ | 52.5% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
| ✓ | 50.6% | #s(literal 1 binary64) |
Compiled 981 to 461 computations (53% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x))) |
| 2510× | *-lowering-*.f32 |
| 2510× | *-lowering-*.f64 |
| 2280× | sum4-define |
| 1730× | sum3-define |
| 1256× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 572 |
| 1 | 160 | 480 |
| 2 | 558 | 465 |
| 3 | 2434 | 465 |
| 4 | 6031 | 465 |
| 0 | 8253 | 465 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (+ 2 (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x))) |
2 |
(+ 2 (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x)) |
(* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x) |
(* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) |
x |
(+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))) |
1 |
(* x (* x (+ 1/12 (* (* x x) 1/360)))) |
(* x (+ 1/12 (* (* x x) 1/360))) |
(+ 1/12 (* (* x x) 1/360)) |
1/12 |
(* (* x x) 1/360) |
(* x x) |
1/360 |
(/ 2 (* x x)) |
2 |
(* x x) |
x |
(/ 2 (* (* x x) (+ 1 (* x (* x 1/12))))) |
2 |
(* (* x x) (+ 1 (* x (* x 1/12)))) |
(* x x) |
x |
(+ 1 (* x (* x 1/12))) |
1 |
(* x (* x 1/12)) |
(* x 1/12) |
1/12 |
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720)))))))) |
1 |
(+ 1 (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720))))))) |
(* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720)))))) |
(* x x) |
x |
(+ 1/2 (* x (* x (* x (* x 1/720))))) |
1/2 |
(* x (* x (* x (* x 1/720)))) |
(* x (* x (* x 1/720))) |
(* x (* x 1/720)) |
(* x 1/720) |
1/720 |
(* (/ 1 (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) (- 1 (* x (* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) |
(/ 1 (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) |
1 |
(- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))) |
(* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) |
(* x (* x (* x x))) |
x |
(* x (* x x)) |
(* x x) |
(* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))) |
(+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) |
1/2 |
(* x (* x (+ 1/24 (* (* x x) 1/720)))) |
(* x (+ 1/24 (* (* x x) 1/720))) |
(+ 1/24 (* (* x x) 1/720)) |
1/24 |
(* (* x x) 1/720) |
1/720 |
(- 1 (* x (* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))) |
(* x (* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) |
(* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))) |
| Outputs |
|---|
(/ 2 (+ 2 (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) |
(* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) |
(* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) |
x |
(+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/12 (* (* x x) 1/360)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
(* x (+ 1/12 (* (* x x) 1/360))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
(+ 1/12 (* (* x x) 1/360)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) |
1/12 |
#s(literal 1/12 binary64) |
(* (* x x) 1/360) |
(*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
(* x x) |
(*.f64 x x) |
1/360 |
#s(literal 1/360 binary64) |
(/ 2 (* x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ 2 (* (* x x) (+ 1 (* x (* x 1/12))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))) |
2 |
#s(literal 2 binary64) |
(* (* x x) (+ 1 (* x (* x 1/12)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1 (* x (* x 1/12))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) |
1 |
#s(literal 1 binary64) |
(* x (* x 1/12)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* x 1/12) |
(*.f64 x #s(literal 1/12 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/2 (* x (* x (* x (* x 1/720))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x (* x (* x 1/720)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* x (* x (* x 1/720))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* x (* x 1/720)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* x 1/720) |
(*.f64 x #s(literal 1/720 binary64)) |
1/720 |
#s(literal 1/720 binary64) |
(* (/ 1 (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) (- 1 (* x (* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))))) |
(/ 1 (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))))) |
1 |
#s(literal 1 binary64) |
(- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))))) |
(* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x (+ 1/24 (* (* x x) 1/720)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* x (+ 1/24 (* (* x x) 1/720))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(+ 1/24 (* (* x x) 1/720)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) 1/720) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
1/720 |
#s(literal 1/720 binary64) |
(- 1 (* x (* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(* x (* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
| ✓ | accuracy | 53.6% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/720 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x))) |
| 157.0ms | 256× | 0 | valid |
Compiled 589 to 48 computations (91.9% saved)
ival-mult: 67.0ms (62.4% of total)...c/correct-round.rkt:119:19: 15.0ms (14% of total)ival-add: 12.0ms (11.2% of total)ival-div: 10.0ms (9.3% of total)ival-sub: 2.0ms (1.9% of total)const: 1.0ms (0.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 2 (+ 2 (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x)))> |
#<alt (+ 2 (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x))> |
#<alt (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x)> |
#<alt (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))> |
#<alt (/ 2 (* x x))> |
#<alt (* x x)> |
#<alt (/ 2 (* (* x x) (+ 1 (* x (* x 1/12)))))> |
#<alt (* (* x x) (+ 1 (* x (* x 1/12))))> |
#<alt (+ 1 (* x (* x 1/12)))> |
#<alt (/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720))))))))> |
#<alt (+ 1 (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720)))))))> |
#<alt (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720))))))> |
#<alt (* (/ 1 (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) (- 1 (* x (* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))))> |
#<alt (/ 1 (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))))> |
#<alt (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))> |
#<alt (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))> |
#<alt (* x (+ 1/12 (* (* x x) 1/360)))> |
#<alt (* (* x x) 1/360)> |
#<alt (* x (* x (+ 1/12 (* (* x x) 1/360))))> |
#<alt (* x 1/12)> |
#<alt (* x (* x 1/12))> |
#<alt (* x 1/720)> |
#<alt (* x (* x 1/720))> |
#<alt (* x (* x (* x 1/720)))> |
#<alt (* x (+ 1/24 (* (* x x) 1/720)))> |
#<alt (* (* x x) 1/720)> |
#<alt (* x (* x (+ 1/24 (* (* x x) 1/720))))> |
| 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 2> |
#<alt (+ 2 (pow x 2))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/12 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/360 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 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 1> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (+ 1 (* 1/12 (pow x 2)))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))> |
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))> |
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))> |
#<alt (/ 720 (pow x 6))> |
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))> |
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))> |
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (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 (* -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 (* 1/4 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (+ 1/4 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/24 (* 21/320 (pow x 2)))))))> |
#<alt (/ -518400 (pow x 12))> |
#<alt (/ (- (* 31104000 (/ 1 (pow x 2))) 518400) (pow x 12))> |
#<alt (/ (- (* 31104000 (/ 1 (pow x 2))) (+ 518400 (/ 1026432000 (pow x 4)))) (pow x 12))> |
#<alt (/ (- (+ (* 31104000 (/ 1 (pow x 2))) (* 22394880000 (/ 1 (pow x 6)))) (+ 518400 (/ 1026432000 (pow x 4)))) (pow x 12))> |
#<alt (/ -518400 (pow x 12))> |
#<alt (/ (- (* 31104000 (/ 1 (pow x 2))) 518400) (pow x 12))> |
#<alt (/ (- (* 31104000 (/ 1 (pow x 2))) (+ 518400 (/ 1026432000 (pow x 4)))) (pow x 12))> |
#<alt (/ (- (+ (* 31104000 (/ 1 (pow x 2))) (* 22394880000 (/ 1 (pow x 6)))) (+ 518400 (/ 1026432000 (pow x 4)))) (pow x 12))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (- (* -1/24 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -1/320 (pow x 2)) 1/24)) 1/4)))> |
#<alt (* -1/518400 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/8640 (* 1/320 (/ 1 (pow x 2)))) (pow x 2))) 1/518400))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/320 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))> |
#<alt (* -1/518400 (pow x 12))> |
#<alt (* -1 (* (pow x 12) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/8640 (* 1/320 (/ 1 (pow x 2)))) (pow x 2))) 1/518400))> |
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/320 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))> |
#<alt (* 1/4 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/4 (* 1/24 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/24 (* 1/320 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/320 (* 1/8640 (pow x 2))))))))> |
#<alt (* 1/518400 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/518400 (+ (/ 1/320 (pow x 4)) (* 1/8640 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/518400 (+ (/ 1/320 (pow x 4)) (+ (* 1/8640 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))))> |
#<alt (* 1/518400 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 1/518400 (+ (/ 1/320 (pow x 4)) (* 1/8640 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (+ 1/518400 (+ (/ 1/320 (pow x 4)) (+ (* 1/8640 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/360 (pow x 2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* 1/360 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 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)> |
#<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 (* 1/720 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))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<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 (* 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))> |
#<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)))))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (* x 1/720) |
| 0.0ms | x | @ | 0 | (* x (* x (* x 1/720))) |
| 0.0ms | x | @ | inf | (* (/ 1 (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) (- 1 (* x (* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) |
| 0.0ms | x | @ | inf | (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720)))))) |
| 0.0ms | x | @ | inf | (/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720)))))))) |
| 1× | batch-egg-rewrite |
| 3312× | *-lowering-*.f32 |
| 3312× | *-lowering-*.f64 |
| 2666× | /-lowering-/.f32 |
| 2666× | /-lowering-/.f64 |
| 2210× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 346 |
| 1 | 314 | 270 |
| 2 | 2774 | 257 |
| 0 | 8341 | 257 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (+ 2 (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x))) |
(+ 2 (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x)) |
(* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) x) |
(* x (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))) |
(/ 2 (* x x)) |
(* x x) |
(/ 2 (* (* x x) (+ 1 (* x (* x 1/12))))) |
(* (* x x) (+ 1 (* x (* x 1/12)))) |
(+ 1 (* x (* x 1/12))) |
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720)))))))) |
(+ 1 (* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720))))))) |
(* (* x x) (+ 1/2 (* x (* x (* x (* x 1/720)))))) |
(* (/ 1 (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) (- 1 (* x (* x (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) |
(/ 1 (- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))) |
(- 1 (* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))) |
(* (* x (* x (* x x))) (* (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))) |
(* x (+ 1/12 (* (* x x) 1/360))) |
(* (* x x) 1/360) |
(* x (* x (+ 1/12 (* (* x x) 1/360)))) |
(* x 1/12) |
(* x (* x 1/12)) |
(* x 1/720) |
(* x (* x 1/720)) |
(* x (* x (* x 1/720))) |
(* x (+ 1/24 (* (* x x) 1/720))) |
(* (* x x) 1/720) |
(* x (* x (+ 1/24 (* (* x x) 1/720)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))) |
(fma.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 2 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) (+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))) (neg.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))) |
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) x) |
| 1× | egg-herbie |
| 3724× | *-lowering-*.f32 |
| 3724× | *-lowering-*.f64 |
| 2014× | fma-lowering-fma.f32 |
| 2014× | fma-lowering-fma.f64 |
| 1918× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 2837 |
| 1 | 823 | 2689 |
| 2 | 2337 | 2626 |
| 3 | 6968 | 2626 |
| 0 | 8157 | 2626 |
| 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)) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 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)))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/12 (pow x 2))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2))) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6)) |
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6)) |
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6)) |
(/ 720 (pow x 6)) |
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6)) |
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6)) |
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))) |
(* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))) |
(* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (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 (* -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 (* 1/4 (pow x 4))) |
(+ 1 (* (pow x 4) (+ 1/4 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/24 (* 21/320 (pow x 2))))))) |
(/ -518400 (pow x 12)) |
(/ (- (* 31104000 (/ 1 (pow x 2))) 518400) (pow x 12)) |
(/ (- (* 31104000 (/ 1 (pow x 2))) (+ 518400 (/ 1026432000 (pow x 4)))) (pow x 12)) |
(/ (- (+ (* 31104000 (/ 1 (pow x 2))) (* 22394880000 (/ 1 (pow x 6)))) (+ 518400 (/ 1026432000 (pow x 4)))) (pow x 12)) |
(/ -518400 (pow x 12)) |
(/ (- (* 31104000 (/ 1 (pow x 2))) 518400) (pow x 12)) |
(/ (- (* 31104000 (/ 1 (pow x 2))) (+ 518400 (/ 1026432000 (pow x 4)))) (pow x 12)) |
(/ (- (+ (* 31104000 (/ 1 (pow x 2))) (* 22394880000 (/ 1 (pow x 6)))) (+ 518400 (/ 1026432000 (pow x 4)))) (pow x 12)) |
1 |
(+ 1 (* -1/4 (pow x 4))) |
(+ 1 (* (pow x 4) (- (* -1/24 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -1/320 (pow x 2)) 1/24)) 1/4))) |
(* -1/518400 (pow x 12)) |
(* -1 (* (pow x 12) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1/8640 (* 1/320 (/ 1 (pow x 2)))) (pow x 2))) 1/518400)) |
(* (pow x 12) (- (* -1 (/ (+ 1/320 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2)))))) |
(* -1/518400 (pow x 12)) |
(* -1 (* (pow x 12) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (* -1 (/ (+ 1/8640 (* 1/320 (/ 1 (pow x 2)))) (pow x 2))) 1/518400)) |
(* (pow x 12) (- (* -1 (/ (+ 1/320 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2)))))) |
(* 1/4 (pow x 4)) |
(* (pow x 4) (+ 1/4 (* 1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/24 (* 1/320 (pow x 2)))))) |
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/320 (* 1/8640 (pow x 2)))))))) |
(* 1/518400 (pow x 12)) |
(* (pow x 12) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/518400 (+ (/ 1/320 (pow x 4)) (* 1/8640 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/518400 (+ (/ 1/320 (pow x 4)) (+ (* 1/8640 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6))))))) |
(* 1/518400 (pow x 12)) |
(* (pow x 12) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/518400 (+ (/ 1/320 (pow x 4)) (* 1/8640 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/518400 (+ (/ 1/320 (pow x 4)) (+ (* 1/8640 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6))))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 3)) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/360 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 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) |
(* 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)) |
(* 1/720 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)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 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))))) |
(* 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)) |
(* 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))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
(/ 720 (pow x 6)) |
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(+.f64 #s(literal 2 binary64) (*.f64 x x)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) |
(* 1/360 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6))))))) |
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(*.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 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
Compiled 62185 to 3880 computations (93.8% saved)
29 alts after pruning (19 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1295 | 15 | 1310 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 7 | 9 |
| Total | 1303 | 29 | 1332 |
| Status | Accuracy | Program |
|---|---|---|
| 42.5% | (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) (*.f64 x x)) | |
| 42.5% | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) | |
| 29.2% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| 40.8% | (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 42.3% | (/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 42.3% | (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 8.6% | (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))) | |
| 90.0% | (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))) | |
| 58.9% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) x))) | |
| 68.7% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))))) x))) | |
| 94.2% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) x))) | |
| ✓ | 94.5% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
| ✓ | 76.5% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 42.6% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) | |
| ✓ | 42.6% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
| 42.3% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) | |
| 42.3% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) | |
| ✓ | 29.3% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 49.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) #s(literal 1 binary64)))))) | |
| 29.3% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) | |
| 94.2% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) | |
| ✓ | 94.2% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ✓ | 50.4% | (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) #s(literal 1 binary64))) |
| ✓ | 50.4% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
| ✓ | 50.4% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
| 29.2% | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) | |
| 57.1% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) | |
| ✓ | 50.6% | #s(literal 1 binary64) |
Compiled 1521 to 559 computations (63.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))))) x))) |
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 #s(literal 1/1728 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
3 calls:
| 12.0ms | x |
| 12.0ms | (+.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) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))))) x))) |
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 #s(literal 1/1728 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))))) x))) |
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))))) x))) |
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))))) x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
1 calls:
| 31.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
1 calls:
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 4.384604243767079e+49 | 1.9508087657896165e+52 |
| 7.0ms | 128× | 0 | valid |
Compiled 669 to 298 computations (55.5% saved)
ival-div: 2.0ms (43.7% of total)ival-exp: 1.0ms (21.9% of total)ival-add: 1.0ms (21.9% of total)ival-neg: 1.0ms (21.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.1585594721404333e+74 | 5.4324722754486555e+79 |
| 5.0ms | 64× | 0 | valid |
Compiled 277 to 138 computations (50.2% saved)
ival-exp: 1.0ms (54.4% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.014275317439438596 | 30.69229050516152 |
| 8.0ms | 128× | 0 | valid |
Compiled 253 to 178 computations (29.6% saved)
ival-exp: 2.0ms (42.6% of total)ival-div: 1.0ms (21.3% of total)ival-add: 1.0ms (21.3% of total)ival-neg: 1.0ms (21.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.014275317439438596 | 30.69229050516152 |
| 10.0ms | 128× | 0 | valid |
Compiled 221 to 146 computations (33.9% saved)
ival-exp: 4.0ms (57.7% of total)ival-div: 1.0ms (14.4% of total)ival-add: 1.0ms (14.4% of total)ival-neg: 1.0ms (14.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.014275317439438596 | 30.69229050516152 |
| 10.0ms | 128× | 0 | valid |
Compiled 173 to 114 computations (34.1% saved)
ival-exp: 4.0ms (60.6% of total)ival-div: 1.0ms (15.2% of total)ival-add: 1.0ms (15.2% of total)ival-neg: 1.0ms (15.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.014275317439438596 | 30.69229050516152 |
| 8.0ms | 128× | 0 | valid |
Compiled 93 to 74 computations (20.4% saved)
ival-exp: 2.0ms (41.2% of total)ival-div: 1.0ms (20.6% of total)ival-add: 1.0ms (20.6% of total)ival-neg: 1.0ms (20.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 98× | *-commutative_binary64 |
| 74× | +-commutative_binary64 |
| 52× | distribute-lft-neg-in_binary64 |
| 52× | distribute-rgt-neg-in_binary64 |
| 48× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 301 |
| 1 | 140 | 301 |
| 2 | 174 | 301 |
| 3 | 209 | 301 |
| 4 | 237 | 301 |
| 5 | 267 | 301 |
| 6 | 290 | 301 |
| 7 | 304 | 301 |
| 8 | 319 | 301 |
| 9 | 325 | 301 |
| 10 | 328 | 301 |
| 11 | 329 | 301 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(if (<=.f64 x #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) |
(if (<=.f64 x #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))) |
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(if (<=.f64 x #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) |
(if (<=.f64 x #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))) |
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 1 binary64) |
| 4720× | *-lowering-*.f32 |
| 4720× | *-lowering-*.f64 |
| 3942× | *-lowering-*.f32 |
| 3942× | *-lowering-*.f64 |
| 3916× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 303 |
| 1 | 170 | 284 |
| 2 | 460 | 280 |
| 3 | 1283 | 280 |
| 4 | 2683 | 280 |
| 5 | 4419 | 280 |
| 6 | 7120 | 280 |
| 0 | 8043 | 280 |
| 0 | 43 | 269 |
| 1 | 306 | 227 |
| 2 | 2951 | 227 |
| 0 | 10597 | 227 |
| 0 | 171 | 2356 |
| 1 | 481 | 2230 |
| 2 | 1296 | 2128 |
| 3 | 3218 | 2021 |
| 4 | 6520 | 2021 |
| 0 | 8183 | 2021 |
| 0 | 7 | 17 |
| 1 | 37 | 14 |
| 2 | 275 | 14 |
| 3 | 2602 | 14 |
| 0 | 9652 | 14 |
| 0 | 276 | 2837 |
| 1 | 823 | 2689 |
| 2 | 2337 | 2626 |
| 3 | 6968 | 2626 |
| 0 | 8157 | 2626 |
| 0 | 180 | 2502 |
| 1 | 538 | 2371 |
| 2 | 1561 | 2317 |
| 3 | 4634 | 2293 |
| 0 | 8160 | 2293 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 724 to 342 computations (52.8% saved)
(abs x)
Compiled 642 to 194 computations (69.8% saved)
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