
Time bar (total: 11.4s)
| 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 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 18 to 12 computations (33.3% saved)
ival-mult: 65.0ms (52.8% of total)ival-sin: 27.0ms (21.9% of total)ival-div: 26.0ms (21.1% of total)const: 4.0ms (3.2% of total)backward-pass: 1.0ms (0.8% of total)| 1.1s | 8256× | 0 | valid |
ival-sin: 416.0ms (49.6% of total)ival-mult: 207.0ms (24.7% of total)ival-div: 195.0ms (23.2% of total)const: 18.0ms (2.1% of total)backward-pass: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 934× | fnmadd-define |
| 792× | fma-define |
| 662× | fmsub-define |
| 634× | fnmsub-define |
| 598× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 45 |
| 1 | 46 | 31 |
| 2 | 114 | 30 |
| 3 | 329 | 30 |
| 4 | 1051 | 30 |
| 5 | 2218 | 30 |
| 6 | 2912 | 30 |
| 7 | 3198 | 30 |
| 8 | 3411 | 30 |
| 9 | 3475 | 30 |
| 10 | 3563 | 30 |
| 11 | 4269 | 30 |
| 12 | 4301 | 30 |
| 0 | 12 | 14 |
| 1 | 19 | 10 |
| 2 | 30 | 10 |
| 3 | 39 | 10 |
| 4 | 42 | 10 |
| 0 | 42 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
| Outputs |
|---|
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
| Inputs |
|---|
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))) |
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))) |
| Outputs |
|---|
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
(* (square (sin (* x 1/2))) (/ 8/3 (sin x))) |
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))) |
(* (square (sin (* x 1/2))) (/ -8/3 (sin x))) |
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))) |
(* (square (sin (* x 1/2))) (/ 8/3 (sin x))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 69 | 0 | - | 5 | (5.563782119684987e-158) | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 131 | (9.439268155348369e+288) | 0 | - | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 105.0ms | 512× | 0 | valid |
Compiled 127 to 35 computations (72.4% saved)
ival-sin: 23.0ms (52.5% of total)ival-mult: 10.0ms (22.8% of total)ival-div: 9.0ms (20.6% of total)const: 1.0ms (2.3% of total)backward-pass: 0.0ms (0% of total)Compiled 15 to 9 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.7% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ▶ | 99.2% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
Compiled 32 to 20 computations (37.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
| 46× | *-lowering-*.f32 |
| 46× | *-lowering-*.f64 |
| 18× | *-commutative |
| 10× | /-lowering-/.f32 |
| 10× | /-lowering-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 84 |
| 1 | 27 | 72 |
| 2 | 37 | 72 |
| 3 | 43 | 72 |
| 0 | 43 | 72 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x)))) |
(sin (* x 1/2)) |
(* x 1/2) |
x |
1/2 |
(* (sin (* x 1/2)) (/ 8/3 (sin x))) |
(/ 8/3 (sin x)) |
8/3 |
(sin x) |
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) |
(* (/ 8 3) (sin (* x 1/2))) |
(/ 8 3) |
8 |
3 |
(sin (* x 1/2)) |
(* x 1/2) |
x |
1/2 |
(sin x) |
| Outputs |
|---|
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x)) |
(sin (* x 1/2)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(* (sin (* x 1/2)) (/ 8/3 (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
8/3 |
#s(literal 8/3 binary64) |
(sin x) |
(sin.f64 x) |
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x)) |
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(* (/ 8 3) (sin (* x 1/2))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(/ 8 3) |
#s(literal 8/3 binary64) |
8 |
#s(literal 8 binary64) |
3 |
#s(literal 3 binary64) |
(sin (* x 1/2)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(sin x) |
(sin.f64 x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 76.0% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| ✓ | accuracy | 99.5% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
| 75.0ms | 256× | 0 | valid |
Compiled 94 to 16 computations (83% saved)
ival-sin: 13.0ms (39.1% of total)ival-mult: 9.0ms (27.1% of total)ival-div: 7.0ms (21.1% of total)...c/correct-round.rkt:119:19: 4.0ms (12% of total)const: 1.0ms (3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))> |
#<alt (sin (* x 1/2))> |
#<alt (* x 1/2)> |
#<alt (* (sin (* x 1/2)) (/ 8/3 (sin x)))> |
#<alt (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))> |
#<alt (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))> |
#<alt (* (/ 8 3) (sin (* x 1/2)))> |
#<alt (/ 8 3)> |
#<alt (/ 8/3 (sin x))> |
#<alt (sin x)> |
| Outputs |
|---|
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt 4/3> |
#<alt (+ 4/3 (* 1/6 (pow x 2)))> |
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))> |
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 2/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 4/3 x)> |
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (/ 8/3 x)> |
#<alt (/ (+ 8/3 (* 4/9 (pow x 2))) x)> |
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)> |
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)> |
#<alt (/ 8/3 (sin x))> |
#<alt (/ 8/3 (sin x))> |
#<alt (/ 8/3 (sin x))> |
#<alt (/ 8/3 (sin x))> |
#<alt (/ 8/3 (sin x))> |
#<alt (/ 8/3 (sin x))> |
#<alt (/ 8/3 (sin x))> |
#<alt (/ 8/3 (sin x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (* x 1/2) |
| 1.0ms | x | @ | 0 | (/ 8/3 (sin x)) |
| 1.0ms | x | @ | inf | (* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x)))) |
| 1.0ms | x | @ | -inf | (* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x)))) |
| 1.0ms | x | @ | inf | (* x 1/2) |
| 1× | batch-egg-rewrite |
| 3094× | *-lowering-*.f32 |
| 3094× | *-lowering-*.f64 |
| 2474× | /-lowering-/.f32 |
| 2474× | /-lowering-/.f64 |
| 1490× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 68 |
| 1 | 41 | 56 |
| 2 | 157 | 56 |
| 3 | 827 | 53 |
| 4 | 5954 | 53 |
| 0 | 8053 | 53 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x)))) |
(sin (* x 1/2)) |
(* x 1/2) |
(* (sin (* x 1/2)) (/ 8/3 (sin x))) |
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) |
(* (/ 8 3) (sin (* x 1/2))) |
(/ 8 3) |
(/ 8/3 (sin x)) |
(sin x) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) #s(literal 8/3 binary64)))) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) #s(literal -3/8 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))) |
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(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))) |
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) #s(literal -8/3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))) |
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(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
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(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 8/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))) |
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(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))) |
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) #s(literal -8/3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))) |
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(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
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(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 8/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))) |
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(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -8/3 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -8/3 binary64)) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64))) |
(neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) |
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64)) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -8/3 binary64)) |
#s(literal 8/3 binary64) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(neg.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) #s(literal 8/3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3/8 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) #s(literal -8/3 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -3/8 binary64)) |
(/.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) |
(pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) #s(literal 8/3 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) |
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)) |
(+.f64 (sin.f64 x) #s(literal 0 binary64)) |
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 #s(literal 0 binary64)))) |
(+.f64 #s(literal 0 binary64) (sin.f64 x)) |
(+.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 (sin.f64 (+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 x))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 x) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
| 1× | egg-herbie |
| 3680× | *-lowering-*.f32 |
| 3680× | *-lowering-*.f64 |
| 2864× | +-lowering-+.f64 |
| 2864× | +-lowering-+.f32 |
| 2336× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 850 |
| 1 | 415 | 734 |
| 2 | 1201 | 731 |
| 3 | 3832 | 731 |
| 4 | 4903 | 731 |
| 5 | 6263 | 731 |
| 6 | 6791 | 731 |
| 7 | 7270 | 731 |
| 0 | 8135 | 731 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
(/ 8/3 (sin x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/48 binary64))))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/3840 binary64)))))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64))))))))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 5/288 binary64))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/288 binary64) (*.f64 (*.f64 x x) #s(literal 61/34560 binary64))))))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 2/3 (pow x 2)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))))))))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 4/3 x) |
(*.f64 x #s(literal 4/3 binary64)) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)))))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ 8/3 x) |
(/.f64 #s(literal 8/3 binary64) x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 x (*.f64 x #s(literal 4/9 binary64)))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 7/135 binary64)))))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/135 binary64) (*.f64 (*.f64 x x) #s(literal 31/5670 binary64))))))) x) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
Compiled 24333 to 1791 computations (92.6% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1149 | 31 | 1180 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1151 | 31 | 1182 |
| Status | Accuracy | Program |
|---|---|---|
| 54.0% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 8/3 binary64))) #s(literal 2 binary64)) | |
| 54.0% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64)) | |
| 54.0% | (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x)) | |
| 99.2% | (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) | |
| 53.9% | (/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x)) | |
| 54.0% | (/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| 54.0% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) (sin.f64 x)) | |
| 54.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) | |
| ▶ | 54.0% | (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
| ▶ | 25.7% | (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 75.6% | (/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x)) | |
| 26.5% | (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x)) | |
| 54.0% | (/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) | |
| 53.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) | |
| 53.9% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64))) | |
| 53.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) | |
| 54.0% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) | |
| 51.1% | (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)) | |
| ▶ | 99.5% | (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
| ▶ | 54.0% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
| 99.2% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) | |
| 99.1% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) | |
| 49.4% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) | |
| 51.7% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x))) | |
| 71.7% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64))))))) | |
| 54.2% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) | |
| 49.4% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))) | |
| 49.3% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) | |
| 49.3% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) | |
| 75.6% | (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) | |
| ▶ | 49.6% | (*.f64 #s(literal 2/3 binary64) x) |
Compiled 854 to 646 computations (24.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) |
| ✓ | cost-diff | 6656 | (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 6528 | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2/3 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
| 2690× | *-lowering-*.f32 |
| 2690× | *-lowering-*.f64 |
| 2318× | +-lowering-+.f64 |
| 2318× | +-lowering-+.f32 |
| 2286× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 243 |
| 1 | 96 | 224 |
| 2 | 290 | 220 |
| 3 | 792 | 214 |
| 4 | 2119 | 214 |
| 5 | 4014 | 214 |
| 6 | 6604 | 214 |
| 7 | 7788 | 214 |
| 0 | 8064 | 214 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8)) |
(/ (sin (/ x 2)) (sin x)) |
(sin (/ x 2)) |
(/ x 2) |
x |
2 |
(sin x) |
(/ (sin (/ x 2)) 3/8) |
3/8 |
(* 2/3 x) |
2/3 |
x |
(* (- 1 (cos x)) (/ 4/3 (sin x))) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(/ 4/3 (sin x)) |
4/3 |
(sin x) |
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x)) |
(+ 4/3 (* (* (cos x) -1/2) 8/3)) |
4/3 |
(* (* (cos x) -1/2) 8/3) |
(* (cos x) -1/2) |
(cos x) |
x |
-1/2 |
8/3 |
(sin x) |
(/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x)) |
(* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) |
(* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) |
x |
(+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))) |
4/3 |
(* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))) |
(* x x) |
(+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))) |
-1/18 |
(* (* x x) (+ 1/1440 (* (* x x) -1/241920))) |
(+ 1/1440 (* (* x x) -1/241920)) |
1/1440 |
(* (* x x) -1/241920) |
-1/241920 |
(sin (* x 1/2)) |
(* x 1/2) |
1/2 |
(sin x) |
| Outputs |
|---|
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8)) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(/ (sin (/ x 2)) (sin x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(sin (/ x 2)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(sin x) |
(sin.f64 x) |
(/ (sin (/ x 2)) 3/8) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) |
3/8 |
#s(literal 3/8 binary64) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
2/3 |
#s(literal 2/3 binary64) |
x |
(* (- 1 (cos x)) (/ 4/3 (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(/ 4/3 (sin x)) |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
4/3 |
#s(literal 4/3 binary64) |
(sin x) |
(sin.f64 x) |
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x)) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(+ 4/3 (* (* (cos x) -1/2) 8/3)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) |
4/3 |
#s(literal 4/3 binary64) |
(* (* (cos x) -1/2) 8/3) |
(*.f64 (cos.f64 x) #s(literal -4/3 binary64)) |
(* (cos x) -1/2) |
(*.f64 (cos.f64 x) #s(literal -1/2 binary64)) |
(cos x) |
(cos.f64 x) |
x |
-1/2 |
#s(literal -1/2 binary64) |
8/3 |
#s(literal 8/3 binary64) |
(sin x) |
(sin.f64 x) |
(/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x)) |
(*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x)))) |
(* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) |
(*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (*.f64 x (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) |
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))) |
x |
(+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
4/3 |
#s(literal 4/3 binary64) |
(* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))) |
(+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))) |
-1/18 |
#s(literal -1/18 binary64) |
(* (* x x) (+ 1/1440 (* (* x x) -1/241920))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) |
(+ 1/1440 (* (* x x) -1/241920)) |
(+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) |
1/1440 |
#s(literal 1/1440 binary64) |
(* (* x x) -1/241920) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
-1/241920 |
#s(literal -1/241920 binary64) |
(sin (* x 1/2)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(sin x) |
(sin.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
| ✓ | accuracy | 99.0% | (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
| ✓ | accuracy | 76.2% | (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64)) |
| ✓ | accuracy | 78.3% | (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) |
| ✓ | accuracy | 76.0% | (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
| ✓ | accuracy | 78.5% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 75.9% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 2/3 binary64) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
| 166.0ms | 67× | 2 | valid |
| 97.0ms | 26× | 3 | valid |
| 94.0ms | 133× | 0 | valid |
| 66.0ms | 30× | 1 | valid |
Compiled 273 to 40 computations (85.3% saved)
ival-cos: 62.0ms (25.1% of total)...c/correct-round.rkt:119:19: 62.0ms (25.1% of total)ival-mult: 35.0ms (14.1% of total)backward-pass: 32.0ms (12.9% of total)ival-sin: 22.0ms (8.9% of total)ival-div: 19.0ms (7.7% of total)ival-add: 10.0ms (4% of total)ival-sub: 3.0ms (1.2% of total)const: 2.0ms (0.8% of total)| Inputs |
|---|
#<alt (* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))> |
#<alt (/ (sin (/ x 2)) (sin x))> |
#<alt (sin (/ x 2))> |
#<alt (/ x 2)> |
#<alt (* 2/3 x)> |
#<alt (* (- 1 (cos x)) (/ 4/3 (sin x)))> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (/ 4/3 (sin x))> |
#<alt (/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))> |
#<alt (+ 4/3 (* (* (cos x) -1/2) 8/3))> |
#<alt (* (* (cos x) -1/2) 8/3)> |
#<alt (* (cos x) -1/2)> |
#<alt (/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x))> |
#<alt (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2)))> |
#<alt (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))))> |
#<alt (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))> |
#<alt (/ (sin (/ x 2)) 3/8)> |
#<alt (sin x)> |
#<alt (* (* x x) -1/241920)> |
#<alt (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))> |
| Outputs |
|---|
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/16 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<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) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (/ 4/3 x)> |
#<alt (/ (+ 4/3 (* 2/9 (pow x 2))) x)> |
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)> |
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)> |
#<alt (/ 4/3 (sin x))> |
#<alt (/ 4/3 (sin x))> |
#<alt (/ 4/3 (sin x))> |
#<alt (/ 4/3 (sin x))> |
#<alt (/ 4/3 (sin x))> |
#<alt (/ 4/3 (sin x))> |
#<alt (/ 4/3 (sin x))> |
#<alt (/ 4/3 (sin x))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))> |
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))> |
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))> |
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))> |
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))> |
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))> |
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))> |
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))> |
#<alt (* 2/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))> |
#<alt (+ 4/3 (* -4/3 (cos x)))> |
#<alt (+ 4/3 (* -4/3 (cos x)))> |
#<alt (+ 4/3 (* -4/3 (cos x)))> |
#<alt (+ 4/3 (* -4/3 (cos x)))> |
#<alt (+ 4/3 (* -4/3 (cos x)))> |
#<alt (+ 4/3 (* -4/3 (cos x)))> |
#<alt (+ 4/3 (* -4/3 (cos x)))> |
#<alt (+ 4/3 (* -4/3 (cos x)))> |
#<alt -4/3> |
#<alt (- (* 2/3 (pow x 2)) 4/3)> |
#<alt (- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)> |
#<alt (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)> |
#<alt (* -4/3 (cos x))> |
#<alt (* -4/3 (cos x))> |
#<alt (* -4/3 (cos x))> |
#<alt (* -4/3 (cos x))> |
#<alt (* -4/3 (cos x))> |
#<alt (* -4/3 (cos x))> |
#<alt (* -4/3 (cos x))> |
#<alt (* -4/3 (cos x))> |
#<alt -1/2> |
#<alt (- (* 1/4 (pow x 2)) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* -1/241920 (/ (* (pow x 7) (sin (* 1/2 x))) (sin x)))> |
#<alt (* (pow x 7) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x))))))> |
#<alt (* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))))))> |
#<alt (* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (* 4/3 (/ (sin (* 1/2 x)) (* (pow x 6) (sin x))))))))> |
#<alt (* -1/241920 (/ (* (pow x 7) (sin (* 1/2 x))) (sin x)))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (* 1/241920 (/ (sin (* 1/2 x)) (sin x))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (+ (* 1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x))))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -4/3 (/ (sin (* 1/2 x)) (* (pow x 6) (sin x)))) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (+ (* 1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))))))))> |
#<alt (* 2/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))> |
#<alt (* -1/241920 (* (pow x 7) (sin (* 1/2 x))))> |
#<alt (* (pow x 7) (+ (* -1/241920 (sin (* 1/2 x))) (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2)))))> |
#<alt (* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (pow x 4))) (+ (* -1/241920 (sin (* 1/2 x))) (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2))))))> |
#<alt (* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (pow x 4))) (+ (* -1/241920 (sin (* 1/2 x))) (+ (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (* 4/3 (/ (sin (* 1/2 x)) (pow x 6)))))))> |
#<alt (* -1/241920 (* (pow x 7) (sin (* 1/2 x))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (* 1/241920 (sin (* 1/2 x))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (+ (* 1/241920 (sin (* 1/2 x))) (* 1/18 (/ (sin (* 1/2 x)) (pow x 4)))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -4/3 (/ (sin (* 1/2 x)) (pow x 6))) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (+ (* 1/241920 (sin (* 1/2 x))) (* 1/18 (/ (sin (* 1/2 x)) (pow x 4))))))))> |
#<alt (* 4/3 x)> |
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))> |
#<alt (* -1/241920 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))> |
#<alt (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
#<alt (* -1/241920 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/241920 (* 1/1440 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (* 1/1440 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))))))> |
#<alt 4/3> |
#<alt (+ 4/3 (* -1/18 (pow x 2)))> |
#<alt (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))> |
#<alt (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))> |
#<alt (* -1/241920 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
#<alt (* -1/241920 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
#<alt (* 4/3 x)> |
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/241920 (pow x 2))> |
#<alt (* -1/18 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))> |
#<alt (* -1/241920 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
#<alt (* -1/241920 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | (/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x)) |
| 3.0ms | x | @ | 0 | (/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x)) |
| 1.0ms | x | @ | -inf | (/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x)) |
| 1.0ms | x | @ | inf | (* (- 1 (cos x)) (/ 4/3 (sin x))) |
| 1.0ms | x | @ | -inf | (* (- 1 (cos x)) (/ 4/3 (sin x))) |
| 1× | batch-egg-rewrite |
| 3510× | /-lowering-/.f32 |
| 3510× | /-lowering-/.f64 |
| 3252× | *-lowering-*.f32 |
| 3252× | *-lowering-*.f64 |
| 1994× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 182 |
| 1 | 205 | 162 |
| 2 | 1622 | 162 |
| 0 | 8405 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8)) |
(/ (sin (/ x 2)) (sin x)) |
(sin (/ x 2)) |
(/ x 2) |
(* 2/3 x) |
(* (- 1 (cos x)) (/ 4/3 (sin x))) |
(- 1 (cos x)) |
(cos x) |
(/ 4/3 (sin x)) |
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x)) |
(+ 4/3 (* (* (cos x) -1/2) 8/3)) |
(* (* (cos x) -1/2) 8/3) |
(* (cos x) -1/2) |
(/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x)) |
(* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) |
(* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) |
(+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))) |
(/ (sin (/ x 2)) 3/8) |
(sin x) |
(* (* x x) -1/241920) |
(* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 3/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 3/8 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3/8 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -3/8 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64))) |
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(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) #s(literal 1/18 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (-.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) #s(literal 1/18 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) (*.f64 x x)) (-.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) #s(literal 1/18 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) #s(literal 1/18 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))) (-.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) |
(*.f64 (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) x) |
(*.f64 (+.f64 (*.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) #s(literal 1/18 binary64)))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) #s(literal 1/18 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
| 1× | egg-herbie |
| 4270× | *-lowering-*.f32 |
| 4270× | *-lowering-*.f64 |
| 3892× | +-lowering-+.f64 |
| 3892× | +-lowering-+.f32 |
| 1566× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 302 | 2292 |
| 1 | 932 | 2025 |
| 2 | 2963 | 1955 |
| 3 | 6665 | 1955 |
| 0 | 8371 | 1955 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(/ 4/3 x) |
(/ (+ 4/3 (* 2/9 (pow x 2))) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(/ 4/3 (sin x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(/ (+ 4/3 (* -4/3 (cos x))) (sin x)) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
(+ 4/3 (* -4/3 (cos x))) |
-4/3 |
(- (* 2/3 (pow x 2)) 4/3) |
(- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3) |
(- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3) |
(* -4/3 (cos x)) |
(* -4/3 (cos x)) |
(* -4/3 (cos x)) |
(* -4/3 (cos x)) |
(* -4/3 (cos x)) |
(* -4/3 (cos x)) |
(* -4/3 (cos x)) |
(* -4/3 (cos x)) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* -1/241920 (/ (* (pow x 7) (sin (* 1/2 x))) (sin x))) |
(* (pow x 7) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))))) |
(* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x))))))) |
(* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (* 4/3 (/ (sin (* 1/2 x)) (* (pow x 6) (sin x)))))))) |
(* -1/241920 (/ (* (pow x 7) (sin (* 1/2 x))) (sin x))) |
(* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (* 1/241920 (/ (sin (* 1/2 x)) (sin x)))))) |
(* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (+ (* 1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))))))) |
(* -1 (* (pow x 7) (+ (* -4/3 (/ (sin (* 1/2 x)) (* (pow x 6) (sin x)))) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (+ (* 1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x))))))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* -1/241920 (* (pow x 7) (sin (* 1/2 x)))) |
(* (pow x 7) (+ (* -1/241920 (sin (* 1/2 x))) (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2))))) |
(* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (pow x 4))) (+ (* -1/241920 (sin (* 1/2 x))) (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2)))))) |
(* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (pow x 4))) (+ (* -1/241920 (sin (* 1/2 x))) (+ (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (* 4/3 (/ (sin (* 1/2 x)) (pow x 6))))))) |
(* -1/241920 (* (pow x 7) (sin (* 1/2 x)))) |
(* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (* 1/241920 (sin (* 1/2 x)))))) |
(* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (+ (* 1/241920 (sin (* 1/2 x))) (* 1/18 (/ (sin (* 1/2 x)) (pow x 4))))))) |
(* -1 (* (pow x 7) (+ (* -4/3 (/ (sin (* 1/2 x)) (pow x 6))) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (+ (* 1/241920 (sin (* 1/2 x))) (* 1/18 (/ (sin (* 1/2 x)) (pow x 4)))))))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* -1/241920 (pow x 7)) |
(* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(* -1/241920 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/241920 (* 1/1440 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (* 1/1440 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6))))))) |
4/3 |
(+ 4/3 (* -1/18 (pow x 2))) |
(+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))) |
(+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))) |
(* -1/241920 (pow x 6)) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(* -1/241920 (pow x 6)) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/241920 (pow x 2)) |
(* -1/18 (pow x 2)) |
(* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)) |
(* -1/241920 (pow x 6)) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(* -1/241920 (pow x 6)) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/16 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 5/768 binary64)))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/768 binary64) (*.f64 x (*.f64 x #s(literal 61/92160 binary64))))))))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/3840 binary64))))))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) |
(sin (* 1/2 x)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 1/2 x) |
(/.f64 x #s(literal 2 binary64)) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 x (/.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.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)))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
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(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
(* -1/241920 (pow x 7)) |
(*.f64 #s(literal -1/241920 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 7) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* -1/241920 (pow x 7)) |
(*.f64 #s(literal -1/241920 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 1/241920 (* 1/1440 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/241920 binary64) (/.f64 #s(literal -1/1440 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (* 1/1440 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 6 binary64))))) |
4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* -1/18 (pow x 2))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) |
(+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64)))))) |
(+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) |
(* -1/241920 (pow x 6)) |
(*.f64 #s(literal -1/241920 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* -1/241920 (pow x 6)) |
(*.f64 #s(literal -1/241920 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 4/3 x) |
(*.f64 x #s(literal 4/3 binary64)) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))))))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/241920 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64)) |
(* -1/18 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/18 binary64)) |
(* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))) |
(* -1/241920 (pow x 6)) |
(*.f64 #s(literal -1/241920 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1/241920 (pow x 6)) |
(*.f64 #s(literal -1/241920 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
Compiled 26010 to 2470 computations (90.5% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 993 | 11 | 1004 |
| Fresh | 19 | 7 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1014 | 21 | 1035 |
| Status | Accuracy | Program |
|---|---|---|
| 54.0% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64)) | |
| ▶ | 99.5% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64)) |
| ▶ | 54.0% | (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x)) |
| ▶ | 54.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))) |
| 54.0% | (/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 25.0% | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))))))))) (sin.f64 x)) | |
| 75.6% | (/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x)) | |
| 53.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) | |
| 54.0% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) | |
| ✓ | 99.5% | (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
| ✓ | 54.0% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
| 99.2% | (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))) | |
| 71.7% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64))))))) | |
| 49.4% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))) | |
| 49.3% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) | |
| ▶ | 49.3% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
| 75.6% | (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) | |
| 53.9% | (*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| 99.4% | (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| ✓ | 49.6% | (*.f64 #s(literal 2/3 binary64) x) |
| ▶ | 54.5% | (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
Compiled 517 to 374 computations (27.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 x) #s(literal 4/3 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 6528 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/18 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/18 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
| ✓ | cost-diff | 0 | (sin.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64)) |
| 2134× | fma-define |
| 1656× | fma-lowering-fma.f32 |
| 1656× | fma-lowering-fma.f64 |
| 1626× | sum3-define |
| 1492× | fmm-def |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 166 |
| 1 | 69 | 155 |
| 2 | 140 | 152 |
| 3 | 245 | 144 |
| 4 | 454 | 144 |
| 5 | 863 | 144 |
| 6 | 1846 | 144 |
| 7 | 3211 | 144 |
| 8 | 4821 | 144 |
| 9 | 7191 | 144 |
| 0 | 8222 | 144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) -3/8) |
(/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) |
(- 0 (sin (/ x 2))) |
0 |
(sin (/ x 2)) |
(/ x 2) |
x |
2 |
(/ (sin x) (sin (/ x 2))) |
(sin x) |
-3/8 |
(* x (+ 2/3 (* x (* x 1/18)))) |
x |
(+ 2/3 (* x (* x 1/18))) |
2/3 |
(* x (* x 1/18)) |
(* x 1/18) |
1/18 |
(* 1/2 (/ (sin (/ x 2)) 3/8)) |
1/2 |
(/ (sin (/ x 2)) 3/8) |
(sin (/ x 2)) |
(/ x 2) |
x |
2 |
3/8 |
(/ (- 1 (cos x)) (/ (sin x) 4/3)) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(/ (sin x) 4/3) |
(sin x) |
4/3 |
(/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x)) |
(/ (+ 1/2 (* (cos x) -1/2)) 3/8) |
(+ 1/2 (* (cos x) -1/2)) |
1/2 |
(* (cos x) -1/2) |
(cos x) |
x |
-1/2 |
3/8 |
(sin x) |
| Outputs |
|---|
(/ (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) -3/8) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(- 0 (sin (/ x 2))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
0 |
#s(literal 0 binary64) |
(sin (/ x 2)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(/ (sin x) (sin (/ x 2))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(sin x) |
(sin.f64 x) |
-3/8 |
#s(literal -3/8 binary64) |
(* x (+ 2/3 (* x (* x 1/18)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
x |
(+ 2/3 (* x (* x 1/18))) |
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))) |
2/3 |
#s(literal 2/3 binary64) |
(* x (* x 1/18)) |
(*.f64 x (*.f64 x #s(literal 1/18 binary64))) |
(* x 1/18) |
(*.f64 x #s(literal 1/18 binary64)) |
1/18 |
#s(literal 1/18 binary64) |
(* 1/2 (/ (sin (/ x 2)) 3/8)) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (sin (/ x 2)) 3/8) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) |
(sin (/ x 2)) |
(sin.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
3/8 |
#s(literal 3/8 binary64) |
(/ (- 1 (cos x)) (/ (sin x) 4/3)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(/ (sin x) 4/3) |
(/.f64 (sin.f64 x) #s(literal 4/3 binary64)) |
(sin x) |
(sin.f64 x) |
4/3 |
#s(literal 4/3 binary64) |
(/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(/ (+ 1/2 (* (cos x) -1/2)) 3/8) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) |
(+ 1/2 (* (cos x) -1/2)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (cos x) -1/2) |
(*.f64 (cos.f64 x) #s(literal -1/2 binary64)) |
(cos x) |
(cos.f64 x) |
x |
-1/2 |
#s(literal -1/2 binary64) |
3/8 |
#s(literal 3/8 binary64) |
(sin x) |
(sin.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 78.5% | (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 76.0% | (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.3% | (/.f64 (sin.f64 x) #s(literal 4/3 binary64)) |
| ✓ | accuracy | 78.5% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 75.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/18 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/18 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
| 201.0ms | 21× | 3 | valid |
| 94.0ms | 52× | 2 | valid |
| 72.0ms | 133× | 0 | valid |
| 72.0ms | 50× | 1 | valid |
Compiled 171 to 33 computations (80.7% saved)
ival-sin: 48.0ms (22.1% of total)...c/correct-round.rkt:119:19: 42.0ms (19.3% of total)ival-mult: 38.0ms (17.5% of total)ival-div: 29.0ms (13.3% of total)ival-cos: 29.0ms (13.3% of total)backward-pass: 18.0ms (8.3% of total)ival-sub: 6.0ms (2.8% of total)ival-add: 6.0ms (2.8% of total)const: 2.0ms (0.9% of total)| Inputs |
|---|
#<alt (/ (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) -3/8)> |
#<alt (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2))))> |
#<alt (- 0 (sin (/ x 2)))> |
#<alt (sin (/ x 2))> |
#<alt (* x (+ 2/3 (* x (* x 1/18))))> |
#<alt (+ 2/3 (* x (* x 1/18)))> |
#<alt (* x (* x 1/18))> |
#<alt (* x 1/18)> |
#<alt (* 1/2 (/ (sin (/ x 2)) 3/8))> |
#<alt (/ (sin (/ x 2)) 3/8)> |
#<alt (/ x 2)> |
#<alt (/ (- 1 (cos x)) (/ (sin x) 4/3))> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (/ (sin x) 4/3)> |
#<alt (/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x))> |
#<alt (/ (+ 1/2 (* (cos x) -1/2)) 3/8)> |
#<alt (+ 1/2 (* (cos x) -1/2))> |
#<alt (* (cos x) -1/2)> |
#<alt (/ (sin x) (sin (/ x 2)))> |
#<alt (sin x)> |
| Outputs |
|---|
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* -1/4 x)> |
#<alt (* x (- (* -1/48 (pow x 2)) 1/4))> |
#<alt (* x (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4))> |
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4))> |
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/48 (pow x 2)) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/48 (* -1/3840 (pow x 2)))) 1/2))> |
#<alt (* x (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/645120 (pow x 2)) 1/3840)))) 1/2))> |
#<alt (* -1 (sin (* 1/2 x)))> |
#<alt (* -1 (sin (* 1/2 x)))> |
#<alt (* -1 (sin (* 1/2 x)))> |
#<alt (* -1 (sin (* 1/2 x)))> |
#<alt (* -1 (sin (* 1/2 x)))> |
#<alt (* -1 (sin (* 1/2 x)))> |
#<alt (* -1 (sin (* 1/2 x)))> |
#<alt (* -1 (sin (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* 1/18 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/18 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt 2/3> |
#<alt (+ 2/3 (* 1/18 (pow x 2)))> |
#<alt (+ 2/3 (* 1/18 (pow x 2)))> |
#<alt (+ 2/3 (* 1/18 (pow x 2)))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 1/18 x)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* -1/36 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 x)> |
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<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) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* 3/4 x)> |
#<alt (* x (+ 3/4 (* -1/8 (pow x 2))))> |
#<alt (* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))> |
#<alt (* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))> |
#<alt (* 3/4 (sin x))> |
#<alt (* 3/4 (sin x))> |
#<alt (* 3/4 (sin x))> |
#<alt (* 3/4 (sin x))> |
#<alt (* 3/4 (sin x))> |
#<alt (* 3/4 (sin x))> |
#<alt (* 3/4 (sin x))> |
#<alt (* 3/4 (sin x))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 2/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))> |
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))> |
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))> |
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))> |
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))> |
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))> |
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))> |
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))> |
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))> |
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt -1/2> |
#<alt (- (* 1/4 (pow x 2)) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt (* -1/2 (cos x))> |
#<alt 2> |
#<alt (+ 2 (* -1/4 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* 1/192 (pow x 2)) 1/4)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/192 (* -1/23040 (pow x 2)))) 1/4)))> |
#<alt (/ (sin x) (sin (* 1/2 x)))> |
#<alt (/ (sin x) (sin (* 1/2 x)))> |
#<alt (/ (sin x) (sin (* 1/2 x)))> |
#<alt (/ (sin x) (sin (* 1/2 x)))> |
#<alt (/ (sin x) (sin (* 1/2 x)))> |
#<alt (/ (sin x) (sin (* 1/2 x)))> |
#<alt (/ (sin x) (sin (* 1/2 x)))> |
#<alt (/ (sin x) (sin (* 1/2 x)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x)) |
| 1.0ms | x | @ | inf | (/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x)) |
| 0.0ms | x | @ | inf | (* x (+ 2/3 (* x (* x 1/18)))) |
| 0.0ms | x | @ | inf | (/ (sin x) (sin (/ x 2))) |
| 0.0ms | x | @ | -inf | (/ (sin x) (sin (/ x 2))) |
| 1× | batch-egg-rewrite |
| 3706× | /-lowering-/.f32 |
| 3706× | /-lowering-/.f64 |
| 3396× | *-lowering-*.f32 |
| 3396× | *-lowering-*.f64 |
| 1566× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 135 |
| 1 | 185 | 121 |
| 2 | 1326 | 113 |
| 0 | 8574 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) -3/8) |
(/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) |
(- 0 (sin (/ x 2))) |
(sin (/ x 2)) |
(* x (+ 2/3 (* x (* x 1/18)))) |
(+ 2/3 (* x (* x 1/18))) |
(* x (* x 1/18)) |
(* x 1/18) |
(* 1/2 (/ (sin (/ x 2)) 3/8)) |
(/ (sin (/ x 2)) 3/8) |
(/ x 2) |
(/ (- 1 (cos x)) (/ (sin x) 4/3)) |
(- 1 (cos x)) |
(cos x) |
(/ (sin x) 4/3) |
(/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x)) |
(/ (+ 1/2 (* (cos x) -1/2)) 3/8) |
(+ 1/2 (* (cos x) -1/2)) |
(* (cos x) -1/2) |
(/ (sin x) (sin (/ x 2))) |
(sin x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal 3/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64)))) |
(neg.f64 (*.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))) #s(literal -3/8 binary64)) |
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) #s(literal -8/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal 3/8 binary64)) |
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) |
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64)))) |
(pow.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x))) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal -3/8 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))) #s(literal -8/3 binary64)) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal 3/8 binary64)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal 3/8 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
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(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))))) |
(*.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (cos.f64 x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 0 binary64))) |
(+.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 0 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 x) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
| 1× | egg-herbie |
| 5584× | +-lowering-+.f64 |
| 5584× | +-lowering-+.f32 |
| 3346× | *-lowering-*.f32 |
| 3346× | *-lowering-*.f64 |
| 1416× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 1760 |
| 1 | 816 | 1500 |
| 2 | 2225 | 1500 |
| 3 | 3860 | 1492 |
| 4 | 6540 | 1492 |
| 0 | 8101 | 1492 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* -1/4 x) |
(* x (- (* -1/48 (pow x 2)) 1/4)) |
(* x (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4)) |
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* -1/2 x) |
(* x (- (* 1/48 (pow x 2)) 1/2)) |
(* x (- (* (pow x 2) (+ 1/48 (* -1/3840 (pow x 2)))) 1/2)) |
(* x (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/645120 (pow x 2)) 1/3840)))) 1/2)) |
(* -1 (sin (* 1/2 x))) |
(* -1 (sin (* 1/2 x))) |
(* -1 (sin (* 1/2 x))) |
(* -1 (sin (* 1/2 x))) |
(* -1 (sin (* 1/2 x))) |
(* -1 (sin (* 1/2 x))) |
(* -1 (sin (* 1/2 x))) |
(* -1 (sin (* 1/2 x))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* 1/18 (pow x 2))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 (pow x 2)) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 2/3 x) |
(* x (+ 2/3 (* -1/36 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36)))) |
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36)))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 3/4 x) |
(* x (+ 3/4 (* -1/8 (pow x 2)))) |
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8)))) |
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8)))) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 3/4 (sin x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
(* -1/2 (cos x)) |
2 |
(+ 2 (* -1/4 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/192 (pow x 2)) 1/4))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/192 (* -1/23040 (pow x 2)))) 1/4))) |
(/ (sin x) (sin (* 1/2 x))) |
(/ (sin x) (sin (* 1/2 x))) |
(/ (sin x) (sin (* 1/2 x))) |
(/ (sin x) (sin (* 1/2 x))) |
(/ (sin x) (sin (* 1/2 x))) |
(/ (sin x) (sin (* 1/2 x))) |
(/ (sin x) (sin (* 1/2 x))) |
(/ (sin x) (sin (* 1/2 x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
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(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 3/4 x) |
(*.f64 x #s(literal 3/4 binary64)) |
(* x (+ 3/4 (* -1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8)))) |
(*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/160 binary64))))))) |
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8)))) |
(*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/160 binary64) (*.f64 (*.f64 x x) #s(literal -1/6720 binary64))))))))) |
(* 3/4 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(* 3/4 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(* 3/4 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(* 3/4 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(* 3/4 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(* 3/4 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(* 3/4 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(* 3/4 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/4 binary64)) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 2/3 (pow x 2)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x x) #s(literal -1/30240 binary64))))))))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) |
(* 8/3 (+ 1/2 (* -1/2 (cos x)))) |
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/48 binary64))) #s(literal 1/4 binary64)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/1440 binary64)))))))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/80640 binary64)))))))))) |
(+ 1/2 (* -1/2 (cos x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/4 (pow x 2)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/48 binary64))) #s(literal 1/4 binary64))))) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/1440 binary64))))))))) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(* -1/2 (cos x)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(+ 2 (* (pow x 2) (- (* 1/192 (pow x 2)) 1/4))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/192 binary64)))))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/192 (* -1/23040 (pow x 2)))) 1/4))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64)))))))) |
(/ (sin x) (sin (* 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/ (sin x) (sin (* 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/ (sin x) (sin (* 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/ (sin x) (sin (* 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/ (sin x) (sin (* 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/ (sin x) (sin (* 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/ (sin x) (sin (* 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/ (sin x) (sin (* 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
Compiled 23863 to 2972 computations (87.5% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1228 | 11 | 1239 |
| Fresh | 8 | 5 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1239 | 21 | 1260 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.0% | (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x)) |
| ✓ | 54.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))) |
| ▶ | 49.6% | (/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64)) |
| 49.6% | (/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))))) #s(literal -3/8 binary64)) | |
| ▶ | 49.9% | (/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
| ▶ | 99.8% | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) | |
| ▶ | 53.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| ✓ | 54.0% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
| 99.4% | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) | |
| 49.4% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))) | |
| ▶ | 49.3% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
| 49.0% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64))))))))) | |
| 49.1% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) | |
| ✓ | 49.3% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
| 75.6% | (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) | |
| 53.9% | (*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| ✓ | 49.6% | (*.f64 #s(literal 2/3 binary64) x) |
| 49.3% | (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64))) | |
| 49.2% | (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64))) | |
| 49.1% | (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))) |
Compiled 500 to 350 computations (30% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 6528 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| ✓ | cost-diff | 6528 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
| 1768× | fma-lowering-fma.f32 |
| 1768× | fma-lowering-fma.f64 |
| 1656× | *-lowering-*.f32 |
| 1656× | *-lowering-*.f64 |
| 1624× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 201 |
| 1 | 104 | 180 |
| 2 | 335 | 180 |
| 3 | 868 | 180 |
| 4 | 1655 | 180 |
| 5 | 2628 | 180 |
| 6 | 3697 | 180 |
| 7 | 5344 | 180 |
| 8 | 7851 | 180 |
| 0 | 8032 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (tan (/ x 2)) 3/4) |
(tan (/ x 2)) |
(/ x 2) |
x |
2 |
3/4 |
(/ (* x -1/4) -3/8) |
(* x -1/4) |
x |
-1/4 |
-3/8 |
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))) |
x |
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))) |
2/3 |
(* (* x x) (+ 1/18 (* (* x x) 1/180))) |
(* x x) |
(+ 1/18 (* (* x x) 1/180)) |
1/18 |
(* (* x x) 1/180) |
1/180 |
(/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8) |
(* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) |
x |
(+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))) |
-1/4 |
(* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))) |
(* x x) |
(+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))) |
-1/48 |
(* (* x x) (+ -1/480 (* (* x x) -17/80640))) |
(+ -1/480 (* (* x x) -17/80640)) |
-1/480 |
(* (* x x) -17/80640) |
-17/80640 |
-3/8 |
(* (/ (- 1 (cos x)) (sin x)) 4/3) |
(/ (- 1 (cos x)) (sin x)) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(sin x) |
4/3 |
| Outputs |
|---|
(/ (tan (/ x 2)) 3/4) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
(tan (/ x 2)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
3/4 |
#s(literal 3/4 binary64) |
(/ (* x -1/4) -3/8) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x -1/4) |
(*.f64 x #s(literal -1/4 binary64)) |
x |
-1/4 |
#s(literal -1/4 binary64) |
-3/8 |
#s(literal -3/8 binary64) |
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
x |
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))) |
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) |
2/3 |
#s(literal 2/3 binary64) |
(* (* x x) (+ 1/18 (* (* x x) 1/180))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ 1/18 (* (* x x) 1/180)) |
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
1/18 |
#s(literal 1/18 binary64) |
(* (* x x) 1/180) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
1/180 |
#s(literal 1/180 binary64) |
(/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8) |
(*.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))) #s(literal -3/8 binary64))) |
(* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) |
(*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) |
x |
(+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))) |
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))) |
(* x x) |
(*.f64 x x) |
(+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))) |
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))) |
-1/48 |
#s(literal -1/48 binary64) |
(* (* x x) (+ -1/480 (* (* x x) -17/80640))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))) |
(+ -1/480 (* (* x x) -17/80640)) |
(+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))) |
-1/480 |
#s(literal -1/480 binary64) |
(* (* x x) -17/80640) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
-17/80640 |
#s(literal -17/80640 binary64) |
-3/8 |
#s(literal -3/8 binary64) |
(* (/ (- 1 (cos x)) (sin x)) 4/3) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(sin x) |
(sin.f64 x) |
4/3 |
#s(literal 4/3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| ✓ | accuracy | 78.5% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 76.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))) |
| ✓ | accuracy | 99.1% | (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
| ✓ | accuracy | 99.1% | (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/4 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
| 137.0ms | 64× | 2 | valid |
| 84.0ms | 133× | 0 | valid |
| 82.0ms | 59× | 1 | valid |
Compiled 239 to 38 computations (84.1% saved)
...c/correct-round.rkt:119:19: 35.0ms (23.8% of total)ival-cos: 28.0ms (19% of total)ival-mult: 26.0ms (17.7% of total)backward-pass: 17.0ms (11.6% of total)ival-div: 15.0ms (10.2% of total)ival-add: 9.0ms (6.1% of total)ival-tan: 7.0ms (4.8% of total)ival-sin: 6.0ms (4.1% of total)ival-sub: 3.0ms (2% of total)const: 1.0ms (0.7% of total)| Inputs |
|---|
#<alt (/ (tan (/ x 2)) 3/4)> |
#<alt (tan (/ x 2))> |
#<alt (/ x 2)> |
#<alt (/ (* x -1/4) -3/8)> |
#<alt (* x -1/4)> |
#<alt (* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))> |
#<alt (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))> |
#<alt (* (* x x) (+ 1/18 (* (* x x) 1/180)))> |
#<alt (* x x)> |
#<alt (/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8)> |
#<alt (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))))> |
#<alt (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))> |
#<alt (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))> |
#<alt (* (/ (- 1 (cos x)) (sin x)) 4/3)> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (* (* x x) 1/180)> |
#<alt (* (* x x) -17/80640)> |
#<alt (* (* x x) (+ -1/480 (* (* x x) -17/80640)))> |
| Outputs |
|---|
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* -1/4 x)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* 1/180 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))> |
#<alt (* 1/180 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))> |
#<alt 2/3> |
#<alt (+ 2/3 (* 1/18 (pow x 2)))> |
#<alt (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))> |
#<alt (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))> |
#<alt (* 1/180 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))> |
#<alt (* 1/180 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))> |
#<alt (* 1/180 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (* 1/180 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 17/30240 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))> |
#<alt (* 17/30240 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))> |
#<alt (* -1/4 x)> |
#<alt (* x (- (* -1/48 (pow x 2)) 1/4))> |
#<alt (* x (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4))> |
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4))> |
#<alt (* -17/80640 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))> |
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* -17/80640 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))))))> |
#<alt -1/4> |
#<alt (- (* -1/48 (pow x 2)) 1/4)> |
#<alt (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4)> |
#<alt (* -17/80640 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* -17/80640 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* -1/48 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48))> |
#<alt (* -17/80640 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))> |
#<alt (* -17/80640 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<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) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -17/80640 (pow x 2))> |
#<alt (* -1/480 (pow x 2))> |
#<alt (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))> |
#<alt (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))> |
#<alt (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))> |
#<alt (* -17/80640 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* -17/80640 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))) |
| 1.0ms | x | @ | inf | (/ (tan (/ x 2)) 3/4) |
| 1.0ms | x | @ | -inf | (/ (tan (/ x 2)) 3/4) |
| 0.0ms | x | @ | inf | (/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8) |
| 0.0ms | x | @ | inf | (* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))) |
| 1× | batch-egg-rewrite |
| 4798× | *-lowering-*.f32 |
| 4798× | *-lowering-*.f64 |
| 3882× | /-lowering-/.f32 |
| 3882× | /-lowering-/.f64 |
| 1876× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 155 |
| 1 | 227 | 138 |
| 2 | 1837 | 138 |
| 0 | 9230 | 138 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (tan (/ x 2)) 3/4) |
(tan (/ x 2)) |
(/ x 2) |
(/ (* x -1/4) -3/8) |
(* x -1/4) |
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))) |
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))) |
(* (* x x) (+ 1/18 (* (* x x) 1/180))) |
(* x x) |
(/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8) |
(* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) |
(+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))) |
(* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))) |
(* (/ (- 1 (cos x)) (sin x)) 4/3) |
(/ (- 1 (cos x)) (sin x)) |
(- 1 (cos x)) |
(cos x) |
(* (* x x) 1/180) |
(* (* x x) -17/80640) |
(* (* x x) (+ -1/480 (* (* x x) -17/80640))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 3/4 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sin.f64 x))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))) |
(/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -3/4 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 3/4 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 #s(literal -4/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 4/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 4/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3/4 binary64)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal 9/16 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 4/3 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 4/3 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 4/3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3/4 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -4/3 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(cos.f64 x) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/180 binary64)) x) |
(*.f64 x (*.f64 x #s(literal -17/80640 binary64))) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(*.f64 #s(literal -17/80640 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -17/80640 binary64)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))))) |
(fma.f64 x (*.f64 x #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -17/80640 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) |
(fma.f64 #s(literal -17/80640 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -17/80640 binary64)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -17/80640 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) |
(fma.f64 (*.f64 #s(literal -1/480 binary64) x) x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) x) x (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/110592000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/524386566144000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/110592000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/524386566144000 binary64))))) (+.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) #s(literal -1/480 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/6502809600 binary64)))) (+.f64 #s(literal -1/480 binary64) (*.f64 #s(literal 17/80640 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/110592000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/524386566144000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) #s(literal -1/480 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/6502809600 binary64))) (*.f64 x x)) (+.f64 #s(literal -1/480 binary64) (*.f64 #s(literal 17/80640 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/110592000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/524386566144000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/110592000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/524386566144000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) #s(literal -1/480 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/6502809600 binary64))))) (neg.f64 (+.f64 #s(literal -1/480 binary64) (*.f64 #s(literal 17/80640 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/110592000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/524386566144000 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) #s(literal -1/480 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/6502809600 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal -1/480 binary64) (*.f64 #s(literal 17/80640 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/524386566144000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal -1/110592000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) |
(*.f64 (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) x) |
| 1× | egg-herbie |
| 3618× | *-lowering-*.f32 |
| 3618× | *-lowering-*.f64 |
| 1772× | +-lowering-+.f64 |
| 1772× | +-lowering-+.f32 |
| 1586× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 1974 |
| 1 | 612 | 1722 |
| 2 | 1912 | 1692 |
| 3 | 5740 | 1688 |
| 0 | 8179 | 1688 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* -1/4 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* 1/180 (pow x 5)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 5)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))) |
(* 1/180 (pow x 4)) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 4)) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) |
(* 1/180 (pow x 4)) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* 1/180 (pow x 4)) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 17/30240 (pow x 7)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(* 17/30240 (pow x 7)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))))) |
(* -1/4 x) |
(* x (- (* -1/48 (pow x 2)) 1/4)) |
(* x (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4)) |
(* -17/80640 (pow x 7)) |
(* -1 (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)) |
(* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* -17/80640 (pow x 7)) |
(* -1 (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))) |
-1/4 |
(- (* -1/48 (pow x 2)) 1/4) |
(- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4) |
(* -17/80640 (pow x 6)) |
(* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)) |
(* (pow x 6) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* -17/80640 (pow x 6)) |
(* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)) |
(* (pow x 6) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* -1/48 (pow x 2)) |
(* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) |
(* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) |
(* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) |
(* -17/80640 (pow x 6)) |
(* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)) |
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)) |
(* -17/80640 (pow x 6)) |
(* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)) |
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -17/80640 (pow x 2)) |
(* -1/480 (pow x 2)) |
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) |
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) |
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) |
(* -17/80640 (pow x 4)) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* -17/80640 (pow x 4)) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 17/30240 binary64))))))))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(* 1/180 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
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(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(* 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) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.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)))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.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) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (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 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -17/80640 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64)) |
(* -1/480 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/480 binary64))) |
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))) |
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))) |
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))) |
(* -17/80640 (pow x 4)) |
(*.f64 #s(literal -17/80640 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -17/80640 (pow x 4)) |
(*.f64 #s(literal -17/80640 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
Compiled 27226 to 2517 computations (90.8% saved)
21 alts after pruning (12 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1060 | 4 | 1064 |
| Fresh | 3 | 8 | 11 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1064 | 21 | 1085 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64)) | |
| ✓ | 54.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))) |
| 99.4% | (/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) | |
| 49.6% | (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) #s(literal 3/4 binary64)) | |
| ✓ | 49.6% | (/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64)) |
| ✓ | 49.9% | (/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
| ✓ | 99.8% | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
| 49.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) | |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) | |
| ✓ | 53.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| ✓ | 54.0% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
| 99.4% | (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) | |
| 49.4% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))) | |
| ✓ | 49.3% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
| 49.0% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64))))))))) | |
| 49.1% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) | |
| ✓ | 49.3% | (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
| ✓ | 49.6% | (*.f64 #s(literal 2/3 binary64) x) |
| 49.3% | (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64))) | |
| 49.2% | (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64))) | |
| 49.1% | (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))) |
Compiled 1016 to 448 computations (55.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))))) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) #s(literal 3/4 binary64)) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))))))))) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64)) |
(*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64))) |
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 8/3 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64))))))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
2 calls:
| 27.0ms | x |
| 16.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))))) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) #s(literal 3/4 binary64)) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))))) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) #s(literal 3/4 binary64)) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 25 |
| 1 | 24 | 25 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) |
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x #s(literal 2/3 binary64)) |
| 5584× | +-lowering-+.f64 |
| 5584× | +-lowering-+.f32 |
| 4798× | *-lowering-*.f32 |
| 4798× | *-lowering-*.f64 |
| 4270× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 155 |
| 1 | 227 | 138 |
| 2 | 1837 | 138 |
| 0 | 9230 | 138 |
| 0 | 145 | 850 |
| 1 | 415 | 734 |
| 2 | 1201 | 731 |
| 3 | 3832 | 731 |
| 4 | 4903 | 731 |
| 5 | 6263 | 731 |
| 6 | 6791 | 731 |
| 7 | 7270 | 731 |
| 0 | 8135 | 731 |
| 0 | 32 | 135 |
| 1 | 185 | 121 |
| 2 | 1326 | 113 |
| 0 | 8574 | 113 |
| 0 | 39 | 182 |
| 1 | 205 | 162 |
| 2 | 1622 | 162 |
| 0 | 8405 | 162 |
| 0 | 276 | 1760 |
| 1 | 816 | 1500 |
| 2 | 2225 | 1500 |
| 3 | 3860 | 1492 |
| 4 | 6540 | 1492 |
| 0 | 8101 | 1492 |
| 0 | 302 | 2292 |
| 1 | 932 | 2025 |
| 2 | 2963 | 1955 |
| 3 | 6665 | 1955 |
| 0 | 8371 | 1955 |
| 0 | 15 | 68 |
| 1 | 41 | 56 |
| 2 | 157 | 56 |
| 3 | 827 | 53 |
| 4 | 5954 | 53 |
| 0 | 8053 | 53 |
| 0 | 12 | 14 |
| 1 | 19 | 10 |
| 2 | 30 | 10 |
| 3 | 39 | 10 |
| 4 | 42 | 10 |
| 0 | 42 | 10 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 185 to 127 computations (31.4% saved)
(negabs x)
Compiled 162 to 116 computations (28.4% saved)
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