
Time bar (total: 9.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 8 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 9 |
| 30.5% | 30.4% | 69.5% | 0.1% | 0% | 0% | 0% | 10 |
| 38.3% | 38.2% | 61.7% | 0.1% | 0% | 0% | 0% | 11 |
| 39.6% | 39.6% | 60.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 1.3s | 3 988× | 1 | valid |
| 451.0ms | 4 268× | 0 | valid |
ival-sin: 374.0ms (34.1% of total)ival-mult: 287.0ms (26.2% of total)ival-tan: 206.0ms (18.8% of total)ival-div: 162.0ms (14.8% of total)adjust: 52.0ms (4.7% of total)ival-true: 7.0ms (0.6% of total)exact: 6.0ms (0.5% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 126 | 0 | - | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 24 | 0 | - | 0 | - | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 85 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 85 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 41 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 41 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 41 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 41 | |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 24 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 24 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 24 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 24 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 24 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 151 | 0 |
| - | 0 | 105 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 151 | 0 | 0 |
| - | 0 | 0 | 105 |
| number | freq |
|---|---|
| 0 | 105 |
| 1 | 25 |
| 2 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 51.0ms | 250× | 1 | valid |
| 21.0ms | 262× | 0 | valid |
Compiled 125 to 36 computations (71.2% saved)
ival-sin: 17.0ms (33.6% of total)ival-tan: 13.0ms (25.7% of total)ival-div: 11.0ms (21.7% of total)adjust: 4.0ms (7.9% of total)ival-mult: 4.0ms (7.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 75 |
| 1 | 61 | 67 |
| 2 | 171 | 65 |
| 3 | 435 | 65 |
| 4 | 1265 | 65 |
| 5 | 3711 | 65 |
| 6 | 7312 | 65 |
| 0 | 8 | 13 |
| 0 | 13 | 13 |
| 1 | 21 | 13 |
| 2 | 42 | 13 |
| 3 | 98 | 13 |
| 4 | 237 | 13 |
| 5 | 599 | 13 |
| 6 | 1296 | 13 |
| 7 | 2992 | 13 |
| 8 | 7691 | 13 |
| 0 | 8009 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(abs y)
(abs x)
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 45.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 21 | 36 |
| 2 | 42 | 36 |
| 3 | 98 | 36 |
| 4 | 237 | 36 |
| 5 | 599 | 36 |
| 6 | 1296 | 36 |
| 7 | 2992 | 36 |
| 8 | 7691 | 36 |
| 0 | 8009 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 5.972722275219807 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 28.352859052575788 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.82366981396044 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 85.0ms | 125× | 1 | valid |
| 8.0ms | 131× | 0 | valid |
Compiled 74 to 18 computations (75.7% saved)
ival-tan: 7.0ms (32.2% of total)ival-sin: 6.0ms (27.6% of total)ival-div: 5.0ms (23% of total)adjust: 2.0ms (9.2% of total)ival-mult: 2.0ms (9.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(* 2 y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 4.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 1577 |
| 1 | 1051 | 1537 |
| 2 | 4538 | 1499 |
| 0 | 8172 | 1396 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(* 2 y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 y y))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x y)) (/.f64 #s(literal 1/24 binary64) y) (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal 2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64))))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/768 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 y y))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) x) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64))))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 37 | 33 |
| 2 | 208 | 28 |
| 3 | 2143 | 28 |
| 0 | 8466 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
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(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
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(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
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(*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)) |
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(pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x y))) |
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(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
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(tan.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))) |
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(sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 x y) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (/.f64 x y)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (+.f64 (PI.f64) (PI.f64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(-.f64 (*.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(-.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(-.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 #s(literal 0 binary64)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (PI.f64)))) |
(cos.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (/.f64 x y)) (PI.f64)) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 x y) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(cos.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(cos.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (PI.f64))) |
(cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (/.f64 x y)) (PI.f64)) #s(literal 2 binary64))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(+.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (+.f64 (PI.f64) (PI.f64))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (neg.f64 (PI.f64))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64))) |
(+.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 #s(literal 0 binary64)))) |
Compiled 11 984 to 1 827 computations (84.8% saved)
40 alts after pruning (40 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 40 | 572 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 533 | 40 | 573 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.7% | (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 54.7% | (pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1/2 binary64)) | |
| 5.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.0% | (/.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))) (+.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 45.9% | (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.9% | (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 44.7% | (/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 25.1% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.3% | (/.f64 (tan.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 16.3% | (/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 45.1% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 8.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))) | |
| 8.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 25.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) | |
| 44.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y)))) | |
| 44.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 25.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) | |
| 8.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.6% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.4% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 8.0% | (/.f64 (tan.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 45.9% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
| 44.5% | (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| 43.9% | (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 55.3% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| 5.3% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) | |
| 43.9% | (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| ▶ | 43.9% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
| ▶ | 49.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
| ▶ | 56.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 1 472 to 1 082 computations (26.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 15872 | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 x (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 64 | (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| cost-diff | 9408 | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| cost-diff | 0 | (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 278 |
| 0 | 59 | 250 |
| 1 | 113 | 244 |
| 2 | 287 | 244 |
| 3 | 883 | 242 |
| 4 | 2640 | 242 |
| 5 | 6132 | 242 |
| 0 | 8088 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
(PI.f64) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) |
(PI.f64) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) | |
| accuracy | 6.726628525219807 | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| accuracy | 14.931524599199948 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 15.09587006536707 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| accuracy | 14.53089623088927 | (PI.f64) | |
| accuracy | 14.91916716321877 | (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| accuracy | 14.931524599199948 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 15.128728756961438 | (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.05078125 | (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| accuracy | 0.16082001953688402 | (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 15.09587006536707 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.759475671817263 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| accuracy | 6.666131137766003 | (/.f64 (*.f64 x x) y) | |
| accuracy | 16.081166453649598 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| accuracy | 13.287139104747109 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 79.0ms | 130× | 0 | valid |
| 61.0ms | 66× | 1 | valid |
| 54.0ms | 56× | 1 | invalid |
| 2.0ms | 4× | 0 | invalid |
Compiled 550 to 74 computations (86.5% saved)
ival-mult: 42.0ms (25.6% of total)ival-div: 28.0ms (17.1% of total)ival-tan: 22.0ms (13.4% of total)ival-sin: 22.0ms (13.4% of total)ival-cos: 20.0ms (12.2% of total)ival-pow: 13.0ms (7.9% of total)adjust: 7.0ms (4.3% of total)ival-add: 4.0ms (2.4% of total)ival-pow2: 4.0ms (2.4% of total)ival-pi: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 (*.f64 x x) y) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 x x) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(PI.f64) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ (pow x 2) y) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2)))))) |
(/ -1 (cos (PI))) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin (PI)) (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 3))) (+ (* 1/24 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* y (cos (PI))))))))) (* 1/24 (/ 1 (* (pow y 2) (cos (PI)))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(* -1/2 (/ (* x (cos (PI))) y)) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* -1/4 (/ (* x (sin (PI))) (pow y 2))))) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))))))) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (+ (* 1/48 (/ (* x (sin (PI))) (pow y 4))) (* 1/16 (/ (cos (PI)) (pow y 3)))))))))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(* -1/2 (/ x y)) |
(cos (PI)) |
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y))) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y))))) |
(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 2 (/ y x)) |
(/ (+ (* 1/3 (/ (pow x 2) y)) (* 2 y)) x) |
(/ (+ (* 2 y) (* (pow x 2) (+ (* 7/180 (/ (pow x 2) (pow y 3))) (* 1/3 (/ 1 y))))) x) |
(/ (+ (* 2 y) (* (pow x 2) (+ (* (pow x 2) (+ (* (pow x 2) (- (* 7/1080 (/ 1 (pow y 5))) (* 1/420 (/ 1 (pow y 5))))) (* 7/180 (/ 1 (pow y 3))))) (* 1/3 (/ 1 y))))) x) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(sqrt (/ 1 (cos (* -1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (- (PI) (* 1/2 (/ x y)))) (sin (* -1/2 (/ x y))))) |
(* (cos (- (PI) (* 1/2 (/ x y)))) (sin (* -1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(cos (- (PI) (* 1/2 (/ x y)))) |
(sin (* -1/2 (/ x y))) |
(/ 1 (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (+ (PI) (* -1/2 (/ x y)))) (sin (* -1/2 (/ x y))))) |
(* (cos (+ (PI) (* -1/2 (/ x y)))) (sin (* -1/2 (/ x y)))) |
(cos (+ (PI) (* -1/2 (/ x y)))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/8 y) |
(* 2 y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (* (pow x 2) (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))))) (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4)))))))) (pow y 6))) (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2)))))) |
(- (* 1/24 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (* (pow y 2) (pow (cos (PI)) 2))))) (/ 1 (cos (PI))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (sin (PI)) (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI)))))) (pow (cos (PI)) 3))) (+ (* 1/24 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))))))) (cos (PI)))))) (pow y 3))) (* 1/24 (/ (pow x 2) (* (pow y 2) (cos (PI)))))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (* (pow y 2) (pow (cos (PI)) 2))))) (/ 1 (cos (PI))))))) |
(/ (+ (* -1/2 (* x (cos (PI)))) (* -1/4 (/ (* (pow x 2) (sin (PI))) y))) y) |
(/ (+ (* -1/2 (* x (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (PI))) (pow y 2))) (* 1/16 (/ (* (pow x 3) (cos (PI))) (pow y 2)))))) y) |
(/ (+ (* -1/2 (* x (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (PI))) (pow y 2))) (+ (* 1/48 (/ (* (pow x 4) (sin (PI))) (pow y 3))) (* 1/16 (/ (* (pow x 3) (cos (PI))) (pow y 2))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* -1/2 (/ (* x (sin (PI))) y))) |
(- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* -1/2 (/ (* x (sin (PI))) y))) |
(/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y) |
(* y (+ (* -4 (/ (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x)))) |
(* y (- (+ (* -1 (/ (+ (* -8 (/ (pow (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) 2) (pow x 3))) (* 4 (/ (+ (* 1/3840 (pow x 5)) (+ (* 1/768 (pow x 5)) (* 1/384 (pow x 5)))) (pow x 2)))) (pow y 4))) (* 2 (/ 1 x))) (* 4 (/ (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) (* (pow x 2) (pow y 2)))))) |
(* y (- (+ (* -1 (/ (+ (* -8 (/ (* (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) (+ (* 1/3840 (pow x 5)) (+ (* 1/768 (pow x 5)) (* 1/384 (pow x 5))))) (pow x 3))) (+ (* -2 (/ (* (+ (* -8 (/ (pow (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) 2) (pow x 3))) (* 4 (/ (+ (* 1/3840 (pow x 5)) (+ (* 1/768 (pow x 5)) (* 1/384 (pow x 5)))) (pow x 2)))) (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3)))) x)) (* 4 (/ (+ (* -1/18432 (pow x 7)) (+ (* -1/30720 (pow x 7)) (+ (* -1/92160 (pow x 7)) (* -1/645120 (pow x 7))))) (pow x 2))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -8 (/ (pow (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) 2) (* (pow x 3) (pow y 4)))) (+ (* 4 (/ (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 4 (/ (+ (* 1/3840 (pow x 5)) (+ (* 1/768 (pow x 5)) (* 1/384 (pow x 5)))) (* (pow x 2) (pow y 4)))))))) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin (PI)) (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI)))))) (* y (pow (cos (PI)) 3)))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))))) (* y (cos (PI))))) (+ (* -1/24 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/24 (/ (pow x 2) (cos (PI))))))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) y)) (* -1/4 (* (pow x 2) (sin (PI))))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (+ (* -1/48 (* (pow x 3) (cos (PI)))) (* -1/48 (/ (* (pow x 4) (sin (PI))) y)))) y)) (* -1/4 (* (pow x 2) (sin (PI))))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
(* -1 (* y (- (* -4 (/ (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* -1 (/ (+ (* 4 (/ (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (pow x 2))) (* 8 (/ (pow (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 3)))) (pow y 4))) (+ (* 4 (/ (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (+ (* 2 (/ (* (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (+ (* 4 (/ (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (pow x 2))) (* 8 (/ (pow (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 3))))) x)) (+ (* 4 (/ (+ (* 1/645120 (pow x 7)) (+ (* 1/92160 (pow x 7)) (+ (* 1/30720 (pow x 7)) (* 1/18432 (pow x 7))))) (pow x 2))) (* 8 (/ (* (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow x 3))))) (pow y 6))) (+ (* 4 (/ (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (* (pow x 2) (pow y 4)))) (+ (* 4 (/ (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (+ (* 8 (/ (pow (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (* (pow x 3) (pow y 4)))) (* 2 (/ 1 x)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (pow (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) 2) (* 1 (cos (* -1/2 (/ x y)))) (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (cos (* -1/2 (/ x y))) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* (sin (/ x (* 2 y))) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (* 2 y) (* x x) (* -1/2 (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* -1/2 (/ x y))) (PI) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) |
| 8.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (pow (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) 2) (* 1 (cos (* -1/2 (/ x y)))) (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (cos (* -1/2 (/ x y))) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* (sin (/ x (* 2 y))) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (* 2 y) (* x x) (* -1/2 (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* -1/2 (/ x y))) (PI) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) |
| 7.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (pow (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) 2) (* 1 (cos (* -1/2 (/ x y)))) (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (cos (* -1/2 (/ x y))) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* (sin (/ x (* 2 y))) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (* 2 y) (* x x) (* -1/2 (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* -1/2 (/ x y))) (PI) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) |
| 7.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (pow (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) 2) (* 1 (cos (* -1/2 (/ x y)))) (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (cos (* -1/2 (/ x y))) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* (sin (/ x (* 2 y))) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (* 2 y) (* x x) (* -1/2 (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* -1/2 (/ x y))) (PI) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) |
| 6.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (pow (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) 2) (* 1 (cos (* -1/2 (/ x y)))) (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (cos (* -1/2 (/ x y))) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (sin (* -1/2 (/ x y))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* (sin (/ x (* 2 y))) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (* 2 y) (* x x) (* -1/2 (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* -1/2 (/ x y))) (PI) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 751 | 3173 |
| 1 | 2800 | 2636 |
| 0 | 8680 | 2475 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ (pow x 2) y) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2)))))) |
(/ -1 (cos (PI))) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin (PI)) (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 3))) (+ (* 1/24 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* y (cos (PI))))))))) (* 1/24 (/ 1 (* (pow y 2) (cos (PI)))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(* -1/2 (/ (* x (cos (PI))) y)) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* -1/4 (/ (* x (sin (PI))) (pow y 2))))) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))))))) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (+ (* 1/48 (/ (* x (sin (PI))) (pow y 4))) (* 1/16 (/ (cos (PI)) (pow y 3)))))))))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(* -1/2 (/ x y)) |
(cos (PI)) |
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y))) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y))))) |
(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 2 (/ y x)) |
(/ (+ (* 1/3 (/ (pow x 2) y)) (* 2 y)) x) |
(/ (+ (* 2 y) (* (pow x 2) (+ (* 7/180 (/ (pow x 2) (pow y 3))) (* 1/3 (/ 1 y))))) x) |
(/ (+ (* 2 y) (* (pow x 2) (+ (* (pow x 2) (+ (* (pow x 2) (- (* 7/1080 (/ 1 (pow y 5))) (* 1/420 (/ 1 (pow y 5))))) (* 7/180 (/ 1 (pow y 3))))) (* 1/3 (/ 1 y))))) x) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(sqrt (/ 1 (cos (* -1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (- (PI) (* 1/2 (/ x y)))) (sin (* -1/2 (/ x y))))) |
(* (cos (- (PI) (* 1/2 (/ x y)))) (sin (* -1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(cos (- (PI) (* 1/2 (/ x y)))) |
(sin (* -1/2 (/ x y))) |
(/ 1 (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (+ (PI) (* -1/2 (/ x y)))) (sin (* -1/2 (/ x y))))) |
(* (cos (+ (PI) (* -1/2 (/ x y)))) (sin (* -1/2 (/ x y)))) |
(cos (+ (PI) (* -1/2 (/ x y)))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/8 y) |
(* 2 y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (* (pow x 2) (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))))) (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4)))))))) (pow y 6))) (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2)))))) |
(- (* 1/24 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (* (pow y 2) (pow (cos (PI)) 2))))) (/ 1 (cos (PI))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (sin (PI)) (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI)))))) (pow (cos (PI)) 3))) (+ (* 1/24 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))))))) (cos (PI)))))) (pow y 3))) (* 1/24 (/ (pow x 2) (* (pow y 2) (cos (PI)))))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (* (pow y 2) (pow (cos (PI)) 2))))) (/ 1 (cos (PI))))))) |
(/ (+ (* -1/2 (* x (cos (PI)))) (* -1/4 (/ (* (pow x 2) (sin (PI))) y))) y) |
(/ (+ (* -1/2 (* x (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (PI))) (pow y 2))) (* 1/16 (/ (* (pow x 3) (cos (PI))) (pow y 2)))))) y) |
(/ (+ (* -1/2 (* x (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (PI))) (pow y 2))) (+ (* 1/48 (/ (* (pow x 4) (sin (PI))) (pow y 3))) (* 1/16 (/ (* (pow x 3) (cos (PI))) (pow y 2))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* -1/2 (/ (* x (sin (PI))) y))) |
(- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* -1/2 (/ (* x (sin (PI))) y))) |
(/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y) |
(* y (+ (* -4 (/ (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x)))) |
(* y (- (+ (* -1 (/ (+ (* -8 (/ (pow (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) 2) (pow x 3))) (* 4 (/ (+ (* 1/3840 (pow x 5)) (+ (* 1/768 (pow x 5)) (* 1/384 (pow x 5)))) (pow x 2)))) (pow y 4))) (* 2 (/ 1 x))) (* 4 (/ (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) (* (pow x 2) (pow y 2)))))) |
(* y (- (+ (* -1 (/ (+ (* -8 (/ (* (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) (+ (* 1/3840 (pow x 5)) (+ (* 1/768 (pow x 5)) (* 1/384 (pow x 5))))) (pow x 3))) (+ (* -2 (/ (* (+ (* -8 (/ (pow (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) 2) (pow x 3))) (* 4 (/ (+ (* 1/3840 (pow x 5)) (+ (* 1/768 (pow x 5)) (* 1/384 (pow x 5)))) (pow x 2)))) (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3)))) x)) (* 4 (/ (+ (* -1/18432 (pow x 7)) (+ (* -1/30720 (pow x 7)) (+ (* -1/92160 (pow x 7)) (* -1/645120 (pow x 7))))) (pow x 2))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -8 (/ (pow (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) 2) (* (pow x 3) (pow y 4)))) (+ (* 4 (/ (+ (* -1/16 (pow x 3)) (* -1/48 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 4 (/ (+ (* 1/3840 (pow x 5)) (+ (* 1/768 (pow x 5)) (* 1/384 (pow x 5)))) (* (pow x 2) (pow y 4)))))))) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin (PI)) (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI)))))) (* y (pow (cos (PI)) 3)))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))))) (* y (cos (PI))))) (+ (* -1/24 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/24 (/ (pow x 2) (cos (PI))))))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) y)) (* -1/4 (* (pow x 2) (sin (PI))))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (+ (* -1/48 (* (pow x 3) (cos (PI)))) (* -1/48 (/ (* (pow x 4) (sin (PI))) y)))) y)) (* -1/4 (* (pow x 2) (sin (PI))))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
(* -1 (* y (- (* -4 (/ (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* -1 (/ (+ (* 4 (/ (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (pow x 2))) (* 8 (/ (pow (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 3)))) (pow y 4))) (+ (* 4 (/ (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (+ (* 2 (/ (* (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (+ (* 4 (/ (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (pow x 2))) (* 8 (/ (pow (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 3))))) x)) (+ (* 4 (/ (+ (* 1/645120 (pow x 7)) (+ (* 1/92160 (pow x 7)) (+ (* 1/30720 (pow x 7)) (* 1/18432 (pow x 7))))) (pow x 2))) (* 8 (/ (* (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow x 3))))) (pow y 6))) (+ (* 4 (/ (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (* (pow x 2) (pow y 4)))) (+ (* 4 (/ (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (+ (* 8 (/ (pow (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (* (pow x 3) (pow y 4)))) (* 2 (/ 1 x)))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 7/1536 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 139/368640 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 7/1536 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/16 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(/ -1 (cos (PI))) |
#s(literal 1 binary64) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
#s(literal 1 binary64) |
(- (* x (- (* x (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (neg.f64 (*.f64 y y))) (fma.f64 (*.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 3 binary64))) y) #s(literal 2 binary64) #s(literal 0 binary64))) x #s(literal 0 binary64)) x #s(literal 1 binary64)) |
(- (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin (PI)) (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 3))) (+ (* 1/24 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* y (cos (PI))))))))) (* 1/24 (/ 1 (* (pow y 2) (cos (PI)))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (neg.f64 (*.f64 y y))) #s(literal 0 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 3 binary64))) y) #s(literal 2 binary64) #s(literal 0 binary64))) x #s(literal 0 binary64)) x #s(literal 1 binary64)) |
(* -1/2 (/ (* x (cos (PI))) y)) |
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64)) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* -1/4 (/ (* x (sin (PI))) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 0 binary64)) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 3 binary64))) x #s(literal 0 binary64)) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (+ (* 1/48 (/ (* x (sin (PI))) (pow y 4))) (* 1/16 (/ (cos (PI)) (pow y 3)))))))))) |
(*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) x #s(literal 0 binary64)) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
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(* -1 (* y (- (* -1 (/ (+ (* 4 (/ (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (pow x 2))) (* 8 (/ (pow (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 3)))) (pow y 4))) (+ (* 4 (/ (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x)))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)) x) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) x))) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ (+ (* 2 (/ (* (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (+ (* 4 (/ (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (pow x 2))) (* 8 (/ (pow (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 3))))) x)) (+ (* 4 (/ (+ (* 1/645120 (pow x 7)) (+ (* 1/92160 (pow x 7)) (+ (* 1/30720 (pow x 7)) (* 1/18432 (pow x 7))))) (pow x 2))) (* 8 (/ (* (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow x 3))))) (pow y 6))) (+ (* 4 (/ (+ (* -1/384 (pow x 5)) (+ (* -1/768 (pow x 5)) (* -1/3840 (pow x 5)))) (* (pow x 2) (pow y 4)))) (+ (* 4 (/ (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (+ (* 8 (/ (pow (+ (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (* (pow x 3) (pow y 4)))) (* 2 (/ 1 x)))))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)) x) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/10240 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64))) x)))) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)))) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 201 |
| 0 | 59 | 166 |
| 1 | 244 | 166 |
| 2 | 1713 | 154 |
| 0 | 8615 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 (*.f64 x x) y) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 x x) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(PI.f64) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))) (-.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (fabs.f64 y)) (/.f64 #s(literal -1/8 binary64) (fabs.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (fabs.f64 y)) (/.f64 (*.f64 (neg.f64 x) x) (fabs.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 x)) (fabs.f64 y)) (/.f64 (neg.f64 x) (fabs.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 x)) (neg.f64 y)) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 x)) y) (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) (fabs.f64 y)) (/.f64 x (fabs.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 y)) (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (fabs.f64 y)) (/.f64 #s(literal 1/8 binary64) (fabs.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fabs.f64 y)) (/.f64 (*.f64 x x) (fabs.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) (/.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x)) (fabs.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 x x) y)) (fabs.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 x x) y)) (fabs.f64 (/.f64 #s(literal 1/8 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (/.f64 #s(literal 1/8 binary64) y)) (fabs.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (/.f64 #s(literal 1/8 binary64) y)) (fabs.f64 (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y) #s(literal 1 binary64)) |
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(fma.f64 (PI.f64) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (PI.f64))) |
(fma.f64 (PI.f64) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (PI.f64))) |
(fma.f64 (PI.f64) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (PI.f64) (log.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 0 binary64)))))) |
(fma.f64 (PI.f64) (log.f64 (E.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (PI.f64))) |
(fma.f64 (PI.f64) (log.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (PI.f64))) |
(fma.f64 (PI.f64) (log.f64 (E.f64)) #s(literal 0 binary64)) |
(fma.f64 (PI.f64) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 0 binary64)))))) |
(fma.f64 (PI.f64) #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (PI.f64))) |
(fma.f64 (PI.f64) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (PI.f64))) |
(fma.f64 (PI.f64) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (PI.f64) (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 0 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (PI.f64))) |
(fma.f64 #s(literal 1 binary64) (PI.f64) (/.f64 #s(literal 0 binary64) (PI.f64))) |
(fma.f64 #s(literal 1 binary64) (PI.f64) #s(literal 0 binary64)) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 (PI.f64)))) |
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (PI.f64) (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 0 binary64)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) |
(-.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (PI.f64))) |
(-.f64 (PI.f64) #s(literal 0 binary64)) |
(fabs.f64 (neg.f64 (PI.f64))) |
(fabs.f64 (PI.f64)) |
(exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64)))) |
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (PI.f64))) |
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
(+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (PI.f64)) (PI.f64)) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (PI.f64)) |
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) |
(+.f64 #s(literal 0 binary64) (PI.f64)) |
(+.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 0 binary64)))))) |
(+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (PI.f64))) |
(+.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (PI.f64))) |
(+.f64 (PI.f64) #s(literal 0 binary64)) |
(log.f64 (exp.f64 (PI.f64))) |
(PI.f64) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) |
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))) (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (fabs.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64)))) |
(fabs.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64)))) |
(fabs.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1/2 binary64) (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64) (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64) (log.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64))))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64) (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64))) (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64)))) |
Compiled 44 374 to 5 884 computations (86.7% saved)
68 alts after pruning (67 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 387 | 40 | 1 427 |
| Fresh | 8 | 27 | 35 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 399 | 68 | 1 467 |
| Status | Accuracy | Program |
|---|---|---|
| 52.7% | (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 53.1% | (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 53.0% | (pow.f64 (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.5% | (pow.f64 (pow.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ▶ | 54.7% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
| 52.7% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/4 binary64)) #s(literal 4 binary64)) | |
| 49.6% | (pow.f64 (pow.f64 #s(approx (* 1 (cos (* -1/2 (/ x y)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.7% | (pow.f64 #s(approx (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) | |
| 6.0% | (/.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))) (+.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.9% | (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.7% | (/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 5.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 16.3% | (/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 45.1% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 8.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))) | |
| 8.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 25.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) | |
| 44.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y)))) | |
| 44.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 25.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) | |
| 8.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.6% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.4% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 8.0% | (/.f64 (tan.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 45.9% | (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 7.1% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))) | |
| 7.5% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) (sin.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (PI.f64)))) #s(literal 2 binary64))) | |
| 6.5% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (+.f64 (neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))) (sin.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (PI.f64)))) #s(literal 1/2 binary64))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 45.9% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 45.9% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))) | |
| 43.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))))) | |
| ▶ | 45.2% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) |
| 45.2% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (PI.f64))))) | |
| 45.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) | |
| 45.3% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) | |
| 44.5% | (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 45.9% | (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 41.1% | (/.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 8.5% | (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) | |
| 43.9% | (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 55.3% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| ▶ | 55.3% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
| 5.3% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) | |
| 7.3% | (*.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 44.2% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 39.8% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) #s(literal -1 binary64))) | |
| 44.2% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (fabs.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) | |
| 43.9% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) | |
| 43.5% | (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) x))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| ▶ | 43.4% | (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
| 39.8% | (*.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 7.5% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64))) | |
| 43.9% | (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 51.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) | |
| ▶ | 43.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) |
| 3.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) | |
| ✓ | 56.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 3 165 to 2 146 computations (32.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| cost-diff | 21248 | (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| cost-diff | 64 | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) | |
| cost-diff | 64 | (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) | |
| cost-diff | 320 | (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) | |
| cost-diff | 15168 | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) | |
| cost-diff | 0 | (/.f64 x (*.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) | |
| cost-diff | 0 | (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) | |
| cost-diff | 0 | (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) | |
| cost-diff | 64 | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 348 |
| 0 | 86 | 321 |
| 1 | 169 | 313 |
| 2 | 454 | 310 |
| 3 | 1602 | 308 |
| 4 | 5578 | 308 |
| 0 | 8087 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
#s(literal -1 binary64) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
(PI.f64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) |
(cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
x |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(literal -1 binary64) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
(PI.f64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) #s(literal 1 binary64)))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1/8 binary64) y) y) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) |
(cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
x |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) |
(*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) |
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 3/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.796941025219807 | (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| accuracy | 28.352859052575788 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 28.352859052575788 | (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| accuracy | 28.991060452865977 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| accuracy | 5.992253525219807 | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) | |
| accuracy | 28.352859052575788 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 28.396130873022557 | (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| accuracy | 28.89809864882322 | (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.08203125 | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| accuracy | 0.248378759768442 | (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) | |
| accuracy | 28.991060452865977 | (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) | |
| accuracy | 0 | #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.20447640467345357 | (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) | |
| accuracy | 13.196607608558073 | (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 30.95591165875757 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) | |
| accuracy | 0.1015625 | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| accuracy | 28.452652710798237 | (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
| 172.0ms | 125× | 1 | valid |
| 67.0ms | 131× | 0 | valid |
Compiled 677 to 109 computations (83.9% saved)
ival-sin: 38.0ms (19% of total)ival-div: 37.0ms (18.5% of total)ival-mult: 33.0ms (16.5% of total)ival-add: 23.0ms (11.5% of total)ival-cos: 22.0ms (11% of total)adjust: 21.0ms (10.5% of total)ival-pow: 14.0ms (7% of total)ival-tan: 6.0ms (3% of total)ival-pow2: 4.0ms (2% of total)ival-pi: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
(/.f64 x y) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) |
(cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(PI.f64) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(*.f64 #s(literal -2 binary64) y) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
| Outputs |
|---|
(/ -1 (cos (PI))) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(cos (PI)) |
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y))) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y))))) |
(PI) |
(+ (PI) (* -1/2 (/ x y))) |
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(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y))) y)) (* 1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y))) |
(* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) y)) (* 1/2 (* x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))))) y)) (* 1/4 (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))))) y)) (* 1/2 (* x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/48 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) y)))) y)) (* 1/4 (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))))) y)) (* 1/2 (* x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (* y y) (pow (pow (cos (/ x (* -2 y))) 2) -1/2) (pow (cos (/ x (* -2 y))) 2) (cos (/ x (* -2 y))) (/ x (* -2 y)) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))))) (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))) (* (sin (* (/ 1/2 y) x)) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (PI) (/ 1/8 (* y y)) (* -2 y) (sin (* -1/2 (/ x y))) (sin (/ x (* 2 y))) (cos (* -1/2 (/ x y)))) |
| 9.0ms | x | @ | inf | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (* y y) (pow (pow (cos (/ x (* -2 y))) 2) -1/2) (pow (cos (/ x (* -2 y))) 2) (cos (/ x (* -2 y))) (/ x (* -2 y)) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))))) (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))) (* (sin (* (/ 1/2 y) x)) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (PI) (/ 1/8 (* y y)) (* -2 y) (sin (* -1/2 (/ x y))) (sin (/ x (* 2 y))) (cos (* -1/2 (/ x y)))) |
| 9.0ms | y | @ | inf | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (* y y) (pow (pow (cos (/ x (* -2 y))) 2) -1/2) (pow (cos (/ x (* -2 y))) 2) (cos (/ x (* -2 y))) (/ x (* -2 y)) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))))) (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))) (* (sin (* (/ 1/2 y) x)) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (PI) (/ 1/8 (* y y)) (* -2 y) (sin (* -1/2 (/ x y))) (sin (/ x (* 2 y))) (cos (* -1/2 (/ x y)))) |
| 6.0ms | y | @ | -inf | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (* y y) (pow (pow (cos (/ x (* -2 y))) 2) -1/2) (pow (cos (/ x (* -2 y))) 2) (cos (/ x (* -2 y))) (/ x (* -2 y)) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))))) (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))) (* (sin (* (/ 1/2 y) x)) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (PI) (/ 1/8 (* y y)) (* -2 y) (sin (* -1/2 (/ x y))) (sin (/ x (* 2 y))) (cos (* -1/2 (/ x y)))) |
| 5.0ms | x | @ | -inf | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (* y y) (pow (pow (cos (/ x (* -2 y))) 2) -1/2) (pow (cos (/ x (* -2 y))) 2) (cos (/ x (* -2 y))) (/ x (* -2 y)) (/ (sin (/ x (* 2 y))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI)))) (* (sin (* -1/2 (/ x y))) (sin (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))))) (+ (* (PI) 1/2) (+ (* (/ x y) -1/2) (PI))) (* (sin (* (/ 1/2 y) x)) (pow (* (cos (* -1/2 (/ x y))) (sin (/ x (* 2 y)))) -1)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ 1/2 y) (PI) (/ 1/8 (* y y)) (* -2 y) (sin (* -1/2 (/ x y))) (sin (/ x (* 2 y))) (cos (* -1/2 (/ x y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 792 | 3850 |
| 1 | 2847 | 3516 |
| 0 | 8603 | 3333 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 (cos (PI))) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(cos (PI)) |
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y))) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y))))) |
(PI) |
(+ (PI) (* -1/2 (/ x y))) |
(/ x y) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/48 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow y 6))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* -1/2 (/ x y)) |
(/ -1 (sin (+ (PI) (* 1/2 (PI))))) |
(- (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(- (* x (- (* x (- (* 1/24 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (+ (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 3))) (* 1/16 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 3))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
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(sin (+ (PI) (* 1/2 (PI)))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* -1/8 (/ (* x (sin (+ (PI) (* 1/2 (PI))))) (pow y 2)))))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 3)))))))) |
(* -1/2 (/ (* x (sin (+ (PI) (* 1/2 (PI))))) y)) |
(* x (+ (* -1/2 (/ (sin (+ (PI) (* 1/2 (PI)))) y)) (* 1/4 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 2))))) |
(* x (+ (* -1/2 (/ (sin (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* 1/4 (/ (cos (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* x (+ (* 1/48 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 3))) (* 1/16 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 3))))))))) |
(* x (+ (* -1/2 (/ (sin (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* 1/4 (/ (cos (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* x (+ (* -1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 4))) (+ (* 1/48 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 3))) (* 1/16 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 3)))))))))) |
(+ (PI) (* 1/2 (PI))) |
(+ (PI) (+ (* -1/2 (/ x y)) (* 1/2 (PI)))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
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(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
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(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ -1 (cos (- (PI) (* 1/2 (/ x y))))) |
(cos (- (PI) (* 1/2 (/ x y)))) |
(* x (- (/ (PI) x) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(pow (cos (* -1/2 (/ x y))) 2) |
(cos (* -1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (* (sin (* -1/2 (/ x y))) (sin (- (+ (PI) (* 1/2 (PI))) (* 1/2 (/ x y)))))) |
(sin (- (+ (PI) (* 1/2 (PI))) (* 1/2 (/ x y)))) |
(* (sin (* -1/2 (/ x y))) (sin (- (+ (PI) (* 1/2 (PI))) (* 1/2 (/ x y))))) |
(* x (- (+ (* 1/2 (/ (PI) x)) (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(/ -1 (cos (+ (PI) (* -1/2 (/ x y))))) |
(cos (+ (PI) (* -1/2 (/ x y)))) |
(* -1 (* x (+ (* -1 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (sin (* 1/2 (/ x y))) (* (sin (* -1/2 (/ x y))) (sin (+ (PI) (+ (* -1/2 (/ x y)) (* 1/2 (PI))))))) |
(sin (+ (PI) (+ (* -1/2 (/ x y)) (* 1/2 (PI))))) |
(* (sin (* -1/2 (/ x y))) (sin (+ (PI) (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))) |
(* -1 (* x (+ (* -1 (/ (+ (PI) (* 1/2 (PI))) x)) (* 1/2 (/ 1 y))))) |
(/ (+ (* -1/2 x) (* y (PI))) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(pow y 2) |
(/ (+ (* -1/2 x) (* y (+ (PI) (* 1/2 (PI))))) y) |
(/ 1/2 y) |
(/ 1/8 (pow y 2)) |
(* -2 y) |
(- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))) (pow y 2))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))) |
(- (* -1 (/ (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (cos (PI)))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))))) (pow y 3))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (/ 1 (cos (PI))))))) |
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* -1/2 (/ (* x (sin (PI))) y))) |
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(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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(+ 1 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4))) (* 1/8 (/ (pow x 2) (pow y 2))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4))) (+ (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6))) (* 1/8 (/ (pow x 2) (pow y 2)))))) |
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/192 (/ (pow x 4) (pow y 4))) (* 1/64 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/1536 (/ (pow x 6) (pow y 6))) (+ (* -1/23040 (/ (pow x 6) (pow y 6))) (+ (* 1/192 (/ (pow x 4) (pow y 4))) (* 1/64 (/ (pow x 4) (pow y 4)))))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(- (* 1/24 (/ (pow x 2) (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (+ (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (+ (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))))) (* x (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))))) |
(- (+ (* -1 (/ (+ (* -1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (- (* 1/24 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))) (* 2 (/ (+ (* 1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))))) (* x (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))))) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/24 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))) (/ (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (pow y 3))) (* 1/24 (/ (pow x 2) (* (pow y 2) (sin (+ (PI) (* 1/2 (PI)))))))) (+ (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (+ (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))))) (* x (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (+ (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y)) (* -1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (+ (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y)) (+ (* -1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (pow y 3)))))) |
(/ (+ (* -1/2 (* x (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) y))) y) |
(/ (+ (* -1/2 (* x (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/48 (/ (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (+ (* 1/16 (/ (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) y))))) y) |
(/ (+ (* -1/2 (* x (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (pow y 3))) (+ (* 1/48 (/ (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (+ (* 1/16 (/ (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) y)))))) y) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y) |
(- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))))) (* x (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))) y)) (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* 1/24 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/24 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (- (* 1/24 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))))) (* x (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* y (sin (+ (PI) (* 1/2 (PI))))))) (/ (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* -1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))))) (* x (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))) y)) (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) y)) (* 1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y))) y)) (* 1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y))) |
(* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) y)) (* 1/2 (* x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI))))))) y)) (* 1/4 (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))))) y)) (* 1/2 (* x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/48 (* (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/48 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) y)))) y)) (* 1/4 (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))))) y)) (* 1/2 (* x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
| Outputs |
|---|
(/ -1 (cos (PI))) |
#s(literal 1 binary64) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
#s(literal 1 binary64) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) x #s(literal 1 binary64)) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) x #s(literal 1 binary64)) |
(cos (PI)) |
#s(literal -1 binary64) |
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y))) |
#s(literal -1 binary64) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) x #s(literal -1 binary64)) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y))))) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) x #s(literal -1 binary64)) |
(PI) |
(PI.f64) |
(+ (PI) (* -1/2 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) |
(/ x y) |
(/.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/48 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow y 6))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/ -1 (sin (+ (PI) (* 1/2 (PI))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) |
(- (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(fma.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 x y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))) |
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(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/645120 binary64) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 248 |
| 0 | 86 | 244 |
| 1 | 363 | 217 |
| 2 | 2638 | 208 |
| 0 | 8272 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
(/.f64 x y) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) |
(cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(PI.f64) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(*.f64 #s(literal -2 binary64) y) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
| Outputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) |
(pow.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 4 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) |
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))) |
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal 2 binary64)) |
(neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 0 binary64)))) |
(neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 0 binary64)))) |
(neg.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(fma.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64) (*.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))))) |
(fma.f64 (sin.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(fma.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
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(fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
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(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
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(fma.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))) #s(literal 0 binary64))) |
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(sin.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (PI.f64))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) |
(-.f64 (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(-.f64 (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) (cos.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) (sin.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))))) |
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 0 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 0 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 0 binary64))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))) |
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))) #s(literal 0 binary64))) |
(-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(cos.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (PI.f64)))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) |
(cos.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (PI.f64))) |
(cos.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) |
(cos.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(cos.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) |
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))) |
(cos.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) |
(cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) |
(+.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 0 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
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(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
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(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) |
(exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) (sinh.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
Compiled 38 062 to 5 762 computations (84.9% saved)
89 alts after pruning (86 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 258 | 41 | 1 299 |
| Fresh | 17 | 45 | 62 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 278 | 89 | 1 367 |
| Status | Accuracy | Program |
|---|---|---|
| 52.7% | (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 53.0% | (pow.f64 (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.5% | (pow.f64 (pow.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.7% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/4 binary64)) #s(literal 4 binary64)) | |
| 54.7% | (pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 54.8% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 51.8% | (pow.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 53.8% | (pow.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 52.7% | (pow.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 52.7% | (pow.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 52.6% | (pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 54.7% | (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) #s(literal -1/2 binary64)) | |
| 54.7% | (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal -1/2 binary64)) | |
| 54.8% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) #s(literal -1/2 binary64)) | |
| 54.7% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64)) | |
| 52.7% | (pow.f64 #s(approx (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) | |
| 6.0% | (/.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))) (+.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.7% | (/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 16.3% | (/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 45.1% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 8.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))) | |
| 8.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| ▶ | 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
| 25.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) | |
| 25.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) | |
| 8.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| ▶ | 43.6% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 41.5% | (/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 45.9% | (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 7.1% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))) | |
| 7.0% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))) | |
| 7.5% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))) | |
| 7.5% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) (sin.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (PI.f64)))) #s(literal 2 binary64))) | |
| 6.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))) | |
| 6.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))) | |
| 6.6% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) #s(literal 1/2 binary64))) | |
| 7.0% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 7.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) | |
| ▶ | 45.9% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
| 43.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) | |
| 45.3% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) #s(literal -1/2 binary64) (PI.f64)))))) | |
| 43.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)))))))) | |
| 43.2% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1 binary64)))))) | |
| 44.5% | (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 45.9% | (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 41.1% | (/.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) | |
| 55.3% | (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 54.7% | (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal 2 binary64))) | |
| 43.9% | (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 54.6% | (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) | |
| 55.3% | (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))) | |
| 54.3% | (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) | |
| 54.8% | (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) | |
| 54.7% | (/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 0 binary64))))) | |
| 55.0% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) | |
| 55.3% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| ▶ | 55.4% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) |
| 54.9% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (PI.f64)))) | |
| 53.8% | (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))))) | |
| 53.8% | (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))))) | |
| 52.0% | (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) x #s(literal -1 binary64)))) | |
| 50.0% | (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1 binary64)))) | |
| 46.9% | (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) x #s(literal -1 binary64)))) | |
| 50.0% | (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) y)))) | |
| 5.3% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) | |
| 7.3% | (*.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 7.2% | (*.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 39.8% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) #s(literal -1 binary64))) | |
| 44.2% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (fabs.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) | |
| 43.9% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) | |
| 43.5% | (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) x))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| ✓ | 43.4% | (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
| 43.7% | (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 40.8% | (*.f64 (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 39.8% | (*.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 7.5% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64))) | |
| 43.9% | (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 51.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) | |
| ✓ | 43.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) |
| ▶ | 3.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) |
| ✓ | 56.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 4 361 to 2 889 computations (33.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 12928 | (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 64 | (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 15168 | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)) | |
| cost-diff | 0 | (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64))) | |
| cost-diff | 64 | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 332 |
| 0 | 91 | 304 |
| 1 | 160 | 298 |
| 2 | 377 | 290 |
| 3 | 1142 | 289 |
| 4 | 3049 | 289 |
| 5 | 6942 | 289 |
| 0 | 8108 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) |
#s(literal -1 binary64) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(PI.f64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(PI.f64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(literal -1 binary64) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64))) |
(cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(PI.f64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x)))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(PI.f64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.972722275219807 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| accuracy | 15.800566220015918 | (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) | |
| accuracy | 28.352859052575788 | (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 28.82366981396044 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 5.992253525219807 | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| accuracy | 28.352859052575788 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 28.396130873022557 | (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 28.452652710798237 | (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) | |
| accuracy | 0.3456416186131048 | (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) | |
| accuracy | 5.972722275219807 | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 28.352859052575788 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.82366981396044 | (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) | |
| accuracy | 3.4219941117899793 | (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)) | |
| accuracy | 8.573541275215943 | (/.f64 (*.f64 x x) y) | |
| accuracy | 30.95591165875757 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) | |
| accuracy | 31.16439549387954 | #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y))) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)) | |
| accuracy | 0.1015625 | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) | |
| accuracy | 0.36126661860961734 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 28.452652710798237 | (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64))) |
| 319.0ms | 125× | 1 | valid |
| 54.0ms | 131× | 0 | valid |
Compiled 641 to 105 computations (83.6% saved)
ival-tan: 106.0ms (31% of total)ival-sin: 67.0ms (19.6% of total)ival-pow: 56.0ms (16.4% of total)ival-div: 37.0ms (10.8% of total)ival-pi: 20.0ms (5.8% of total)ival-mult: 19.0ms (5.6% of total)ival-cos: 19.0ms (5.6% of total)adjust: 8.0ms (2.3% of total)ival-add: 5.0ms (1.5% of total)ival-pow2: 4.0ms (1.2% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 y x) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 x x) y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(/ x y) |
(/ -1 (cos (PI))) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(cos (PI)) |
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y))) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y))))) |
(PI) |
(+ (PI) (* -1/2 (/ x y))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ y x) |
(- (* x (- (* x (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin (PI)) (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 3))) (+ (* 1/24 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* y (cos (PI))))))))) (* 1/24 (/ 1 (* (pow y 2) (cos (PI)))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ (* x (cos (PI))) y)) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* -1/4 (/ (* x (sin (PI))) (pow y 2))))) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))))))) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (+ (* 1/48 (/ (* x (sin (PI))) (pow y 4))) (* 1/16 (/ (cos (PI)) (pow y 3)))))))))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ 1/2 (pow (sqrt 1/2) 2)) |
(+ (* (pow x 2) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (+ (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 17/40320 (/ 1 (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4)))))) (pow y 2))) (+ (* -1/10080 (/ (pow (sqrt 1/2) 10) (pow y 6))) (* 1/120 (/ (* (pow (sqrt 1/2) 8) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 4)))))))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(/ (pow x 2) y) |
(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* -1/6 (/ (* (pow x 2) (pow (sqrt 1/2) 6)) (pow y 3))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* 1/120 (/ (* (pow x 2) (pow (sqrt 1/2) 10)) (pow y 5))))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (sqrt 1/2) 14)) (pow y 7))) (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (/ (pow (sqrt 1/2) 2) y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(/ -1 (cos (- (PI) (* 1/2 (/ x y))))) |
(cos (- (PI) (* 1/2 (/ x y)))) |
(* x (- (/ (PI) x) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (- (PI) (* 1/2 (/ x y)))) (sin (* -1/2 (/ x y))))) |
(* (cos (- (PI) (* 1/2 (/ x y)))) (sin (* -1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(sin (* -1/2 (/ x y))) |
(sin (/ (* x (pow (sqrt 1/2) 2)) y)) |
(/ -1 (cos (+ (PI) (* -1/2 (/ x y))))) |
(cos (+ (PI) (* -1/2 (/ x y)))) |
(* -1 (* x (+ (* -1 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (+ (PI) (* -1/2 (/ x y)))) (sin (* -1/2 (/ x y))))) |
(* (cos (+ (PI) (* -1/2 (/ x y)))) (sin (* -1/2 (/ x y)))) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))) |
(sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(/ (+ (* -1/2 x) (* y (PI))) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/8 y) |
(- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))) (pow y 2))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))) |
(- (* -1 (/ (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (cos (PI)))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))))) (pow y 3))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (/ 1 (cos (PI))))))) |
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* -1/2 (/ (* x (sin (PI))) y))) |
(- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* -1/2 (/ (* x (sin (PI))) y))) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(- (* 1/24 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (* (pow y 2) (pow (cos (PI)) 2))))) (/ 1 (cos (PI))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (sin (PI)) (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI)))))) (pow (cos (PI)) 3))) (+ (* 1/24 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))))))) (cos (PI)))))) (pow y 3))) (* 1/24 (/ (pow x 2) (* (pow y 2) (cos (PI)))))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (* (pow y 2) (pow (cos (PI)) 2))))) (/ 1 (cos (PI))))))) |
(/ (+ (* -1/2 (* x (cos (PI)))) (* -1/4 (/ (* (pow x 2) (sin (PI))) y))) y) |
(/ (+ (* -1/2 (* x (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (PI))) (pow y 2))) (* 1/16 (/ (* (pow x 3) (cos (PI))) (pow y 2)))))) y) |
(/ (+ (* -1/2 (* x (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (PI))) (pow y 2))) (+ (* 1/48 (/ (* (pow x 4) (sin (PI))) (pow y 3))) (* 1/16 (/ (* (pow x 3) (cos (PI))) (pow y 2))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
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(- (+ (* -1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* 1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* 1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (* 1/240 (/ (* (pow x 4) (pow (sqrt 1/2) 6)) (pow y 4))))))))) |
(- (+ (* -1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* -1/645120 (/ (pow x 6) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* 1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2))))))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/3840 (/ (pow x 4) (pow (sqrt 1/2) 2))) (+ (* -1/6 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2)))))))) (+ (* -1/8 (/ (* x (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow (sqrt 1/2) 2))) (+ (* 1/768 (/ (pow x 4) (pow (sqrt 1/2) 2))) (* 1/240 (* (pow x 4) (pow (sqrt 1/2) 6))))))))) (pow y 6))) (+ (* -1/8 (/ (* x (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* x (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* -1/10080 (/ (* (pow x 6) (pow (sqrt 1/2) 10)) (pow y 6))) (+ (* -1/92160 (/ (pow x 6) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* 1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* 1/384 (/ (* (pow x 3) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* 1/240 (/ (* (pow x 4) (pow (sqrt 1/2) 6)) (pow y 4))) (* 1/120 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2))))))) (pow y 6))))))))))))))) |
(/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) y) |
(- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin (PI)) (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI)))))) (* y (pow (cos (PI)) 3)))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))))) (* y (cos (PI))))) (+ (* -1/24 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/24 (/ (pow x 2) (cos (PI))))))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) y)) (* -1/4 (* (pow x 2) (sin (PI))))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (+ (* -1/48 (* (pow x 3) (cos (PI)))) (* -1/48 (/ (* (pow x 4) (sin (PI))) y)))) y)) (* -1/4 (* (pow x 2) (sin (PI))))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/ -1/2 (pow (sqrt -1/2) 2)) |
(- (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))) |
(- (+ (* -1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* -1/240 (/ (* (pow x 4) (pow (sqrt -1/2) 6)) (pow y 4))) (+ (* -1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))))))) |
(- (+ (* -1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/645120 (/ (pow x 6) (* (pow y 6) (pow (sqrt -1/2) 2)))) (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/3840 (/ (pow x 4) (pow (sqrt -1/2) 2))) (+ (* -1/6 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow (sqrt -1/2) 2))) (+ (* -1/240 (* (pow x 4) (pow (sqrt -1/2) 6))) (* -1/768 (/ (pow x 4) (pow (sqrt -1/2) 2))))))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* -1/240 (/ (* (pow x 4) (pow (sqrt -1/2) 6)) (pow y 4))) (+ (* -1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/92160 (/ (pow x 6) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* 1/10080 (/ (* (pow x 6) (pow (sqrt -1/2) 10)) (pow y 6))) (+ (* 1/384 (/ (* (pow x 3) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* 1/120 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 6))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))))))))))))) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) y)) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | 0 | ((/ 1 (/ y x)) (/ -1 (cos (+ (* -1/2 (/ 1 (/ y x))) (PI)))) (cos (+ (* -1/2 (/ 1 (/ y x))) (PI))) (+ (* -1/2 (/ 1 (/ y x))) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (/ 1/8 y) (/ (* x x) y)) (/ 1/8 y) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (/ (sin (/ x (* 2 y))) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (/ -1 y) (* x 1/2)) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (pow (pow (/ (* 2 y) x) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) y) (sin (/ x (* y 2))) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* (/ -1 y) (* x 1/2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2)) (pow (/ (* 2 y) x) -1/2)) |
| 8.0ms | y | @ | -inf | ((/ 1 (/ y x)) (/ -1 (cos (+ (* -1/2 (/ 1 (/ y x))) (PI)))) (cos (+ (* -1/2 (/ 1 (/ y x))) (PI))) (+ (* -1/2 (/ 1 (/ y x))) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (/ 1/8 y) (/ (* x x) y)) (/ 1/8 y) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (/ (sin (/ x (* 2 y))) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (/ -1 y) (* x 1/2)) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (pow (pow (/ (* 2 y) x) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) y) (sin (/ x (* y 2))) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* (/ -1 y) (* x 1/2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2)) (pow (/ (* 2 y) x) -1/2)) |
| 7.0ms | y | @ | inf | ((/ 1 (/ y x)) (/ -1 (cos (+ (* -1/2 (/ 1 (/ y x))) (PI)))) (cos (+ (* -1/2 (/ 1 (/ y x))) (PI))) (+ (* -1/2 (/ 1 (/ y x))) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (/ 1/8 y) (/ (* x x) y)) (/ 1/8 y) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (/ (sin (/ x (* 2 y))) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (/ -1 y) (* x 1/2)) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (pow (pow (/ (* 2 y) x) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) y) (sin (/ x (* y 2))) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* (/ -1 y) (* x 1/2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2)) (pow (/ (* 2 y) x) -1/2)) |
| 7.0ms | x | @ | 0 | ((/ 1 (/ y x)) (/ -1 (cos (+ (* -1/2 (/ 1 (/ y x))) (PI)))) (cos (+ (* -1/2 (/ 1 (/ y x))) (PI))) (+ (* -1/2 (/ 1 (/ y x))) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (/ 1/8 y) (/ (* x x) y)) (/ 1/8 y) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (/ (sin (/ x (* 2 y))) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (/ -1 y) (* x 1/2)) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (pow (pow (/ (* 2 y) x) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) y) (sin (/ x (* y 2))) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* (/ -1 y) (* x 1/2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2)) (pow (/ (* 2 y) x) -1/2)) |
| 6.0ms | x | @ | -inf | ((/ 1 (/ y x)) (/ -1 (cos (+ (* -1/2 (/ 1 (/ y x))) (PI)))) (cos (+ (* -1/2 (/ 1 (/ y x))) (PI))) (+ (* -1/2 (/ 1 (/ y x))) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (/ 1/8 y) (/ (* x x) y)) (/ 1/8 y) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (/ (sin (/ x (* 2 y))) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI))))) (* (/ -1 y) (* x 1/2)) (* (sin (* (/ -1 y) (* x 1/2))) (cos (+ (* -1/2 (/ x y)) (PI)))) (sin (/ x (* 2 y))) (pow (pow (/ (* 2 y) x) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) y) (sin (/ x (* y 2))) (cos (+ (* -1/2 (/ x y)) (PI))) (sin (* (/ -1 y) (* x 1/2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2)) (pow (/ (* 2 y) x) -1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1000 | 5282 |
| 0 | 3622 | 5005 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(/ -1 (cos (PI))) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(cos (PI)) |
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y))) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y))))) |
(PI) |
(+ (PI) (* -1/2 (/ x y))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ y x) |
(- (* x (- (* x (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin (PI)) (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 3))) (+ (* 1/24 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (- (* 1/24 (/ 1 (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* y (cos (PI))))))))) (* 1/24 (/ 1 (* (pow y 2) (cos (PI)))))) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 2 (/ (* y (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))) (pow (cos (PI)) 2)))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ (* x (cos (PI))) y)) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* -1/4 (/ (* x (sin (PI))) (pow y 2))))) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (* 1/16 (/ (cos (PI)) (pow y 3))))))))) |
(* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/4 (/ (sin (PI)) (pow y 2))) (* x (+ (* 1/48 (/ (cos (PI)) (pow y 3))) (+ (* 1/48 (/ (* x (sin (PI))) (pow y 4))) (* 1/16 (/ (cos (PI)) (pow y 3)))))))))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ 1/2 (pow (sqrt 1/2) 2)) |
(+ (* (pow x 2) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (+ (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 17/40320 (/ 1 (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4)))))) (pow y 2))) (+ (* -1/10080 (/ (pow (sqrt 1/2) 10) (pow y 6))) (* 1/120 (/ (* (pow (sqrt 1/2) 8) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 4)))))))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(/ (pow x 2) y) |
(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* -1/6 (/ (* (pow x 2) (pow (sqrt 1/2) 6)) (pow y 3))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* 1/120 (/ (* (pow x 2) (pow (sqrt 1/2) 10)) (pow y 5))))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (sqrt 1/2) 14)) (pow y 7))) (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (/ (pow (sqrt 1/2) 2) y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(/ -1 (cos (- (PI) (* 1/2 (/ x y))))) |
(cos (- (PI) (* 1/2 (/ x y)))) |
(* x (- (/ (PI) x) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (- (PI) (* 1/2 (/ x y)))) (sin (* -1/2 (/ x y))))) |
(* (cos (- (PI) (* 1/2 (/ x y)))) (sin (* -1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(sin (* -1/2 (/ x y))) |
(sin (/ (* x (pow (sqrt 1/2) 2)) y)) |
(/ -1 (cos (+ (PI) (* -1/2 (/ x y))))) |
(cos (+ (PI) (* -1/2 (/ x y)))) |
(* -1 (* x (+ (* -1 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (+ (PI) (* -1/2 (/ x y)))) (sin (* -1/2 (/ x y))))) |
(* (cos (+ (PI) (* -1/2 (/ x y)))) (sin (* -1/2 (/ x y)))) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))) |
(sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(/ (+ (* -1/2 x) (* y (PI))) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/8 y) |
(- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))) (pow y 2))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))) |
(- (* -1 (/ (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (cos (PI)))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))))) (pow y 3))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (/ 1 (cos (PI))))))) |
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* -1/2 (/ (* x (sin (PI))) y))) |
(- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* -1/2 (/ (* x (sin (PI))) y))) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(- (* 1/24 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (* (pow y 2) (pow (cos (PI)) 2))))) (/ 1 (cos (PI))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (sin (PI)) (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI)))))) (pow (cos (PI)) 3))) (+ (* 1/24 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))))))) (cos (PI)))))) (pow y 3))) (* 1/24 (/ (pow x 2) (* (pow y 2) (cos (PI)))))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 2 (/ (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (* x (* (pow y 2) (pow (cos (PI)) 2))))) (/ 1 (cos (PI))))))) |
(/ (+ (* -1/2 (* x (cos (PI)))) (* -1/4 (/ (* (pow x 2) (sin (PI))) y))) y) |
(/ (+ (* -1/2 (* x (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (PI))) (pow y 2))) (* 1/16 (/ (* (pow x 3) (cos (PI))) (pow y 2)))))) y) |
(/ (+ (* -1/2 (* x (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (PI))) (pow y 2))) (+ (* 1/48 (/ (* (pow x 4) (sin (PI))) (pow y 3))) (* 1/16 (/ (* (pow x 3) (cos (PI))) (pow y 2))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ (* -1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))))) |
(- (+ (* -1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* 1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* 1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (* 1/240 (/ (* (pow x 4) (pow (sqrt 1/2) 6)) (pow y 4))))))))) |
(- (+ (* -1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* -1/645120 (/ (pow x 6) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* 1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2))))))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/3840 (/ (pow x 4) (pow (sqrt 1/2) 2))) (+ (* -1/6 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2)))))))) (+ (* -1/8 (/ (* x (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow (sqrt 1/2) 2))) (+ (* 1/768 (/ (pow x 4) (pow (sqrt 1/2) 2))) (* 1/240 (* (pow x 4) (pow (sqrt 1/2) 6))))))))) (pow y 6))) (+ (* -1/8 (/ (* x (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* x (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* -1/10080 (/ (* (pow x 6) (pow (sqrt 1/2) 10)) (pow y 6))) (+ (* -1/92160 (/ (pow x 6) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* 1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* 1/384 (/ (* (pow x 3) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* 1/240 (/ (* (pow x 4) (pow (sqrt 1/2) 6)) (pow y 4))) (* 1/120 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2))))))) (pow y 6))))))))))))))) |
(/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) y) |
(- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y))) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin (PI)) (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI)))))) (* y (pow (cos (PI)) 3)))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/24 (/ (pow x 2) (cos (PI)))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))))) (* y (cos (PI))))) (+ (* -1/24 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/24 (/ (pow x 2) (cos (PI))))))) (+ (* -2 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) (* x (pow (cos (PI)) 2)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (* -1/48 (* (pow x 3) (cos (PI))))) y)) (* -1/4 (* (pow x 2) (sin (PI))))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (cos (PI)))) (+ (* -1/48 (* (pow x 3) (cos (PI)))) (* -1/48 (/ (* (pow x 4) (sin (PI))) y)))) y)) (* -1/4 (* (pow x 2) (sin (PI))))) y)) (* 1/2 (* x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/ -1/2 (pow (sqrt -1/2) 2)) |
(- (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))) |
(- (+ (* -1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* -1/240 (/ (* (pow x 4) (pow (sqrt -1/2) 6)) (pow y 4))) (+ (* -1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))))))) |
(- (+ (* -1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/645120 (/ (pow x 6) (* (pow y 6) (pow (sqrt -1/2) 2)))) (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/3840 (/ (pow x 4) (pow (sqrt -1/2) 2))) (+ (* -1/6 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow (sqrt -1/2) 2))) (+ (* -1/240 (* (pow x 4) (pow (sqrt -1/2) 6))) (* -1/768 (/ (pow x 4) (pow (sqrt -1/2) 2))))))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* -1/240 (/ (* (pow x 4) (pow (sqrt -1/2) 6)) (pow y 4))) (+ (* -1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/92160 (/ (pow x 6) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* 1/10080 (/ (* (pow x 6) (pow (sqrt -1/2) 10)) (pow y 6))) (+ (* 1/384 (/ (* (pow x 3) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* 1/120 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 6))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))))))))))))) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) y)) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(/ -1 (cos (PI))) |
#s(literal 1 binary64) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64)))) x)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) x #s(literal 1 binary64)) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) y))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1/24 binary64))) x)) (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64))))) x (neg.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y)))) x #s(literal 1 binary64)) |
(cos (PI)) |
#s(literal -1 binary64) |
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y))) |
(fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x #s(literal -1 binary64)) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) x (neg.f64 (/.f64 #s(literal 0 binary64) y))) x #s(literal -1 binary64)) |
(PI) |
(PI.f64) |
(+ (PI) (* -1/2 (/ x y))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
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(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
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(- (+ (* -1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/645120 (/ (pow x 6) (* (pow y 6) (pow (sqrt -1/2) 2)))) (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/3840 (/ (pow x 4) (pow (sqrt -1/2) 2))) (+ (* -1/6 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow (sqrt -1/2) 2))) (+ (* -1/240 (* (pow x 4) (pow (sqrt -1/2) 6))) (* -1/768 (/ (pow x 4) (pow (sqrt -1/2) 2))))))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* -1/240 (/ (* (pow x 4) (pow (sqrt -1/2) 6)) (pow y 4))) (+ (* -1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/92160 (/ (pow x 6) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* 1/10080 (/ (* (pow x 6) (pow (sqrt -1/2) 10)) (pow y 6))) (+ (* 1/384 (/ (* (pow x 3) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* 1/120 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 6))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))))))))))))) |
(-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal -1/3840 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/645120 binary64) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/240 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal -1/768 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/92160 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/10080 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/384 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))))))))))) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 14 binary64)) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/5040 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))) y)) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 260 |
| 0 | 91 | 230 |
| 1 | 340 | 223 |
| 2 | 2060 | 212 |
| 0 | 9108 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 y x) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 x x) y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(fabs.f64 (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
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(-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
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(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (PI.f64))) |
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(cos.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
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(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64)))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64))) |
(+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64))) |
(+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(neg.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 0 binary64)))) |
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(fma.f64 (sin.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (cos.f64 (sinh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (*.f64 (cos.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (sinh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))) |
(fma.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 0 binary64))) #s(literal -1 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal -1 binary64) (sin.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 0 binary64))) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (*.f64 #s(literal -1 binary64) (sin.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (neg.f64 (/.f64 x y)) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (neg.f64 (/.f64 x y)) #s(literal -1/2 binary64))))) |
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 0 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 0 binary64))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (sin.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (cos.f64 (sinh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) (*.f64 (cos.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (sinh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))) |
(+.f64 (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 0 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (*.f64 #s(literal -1 binary64) (sin.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 0 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) |
(pow.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
Compiled 33 340 to 5 235 computations (84.3% saved)
104 alts after pruning (98 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 198 | 25 | 1 223 |
| Fresh | 8 | 73 | 81 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 208 | 104 | 1 312 |
| Status | Accuracy | Program |
|---|---|---|
| 52.7% | (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 53.0% | (pow.f64 (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 52.7% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/4 binary64)) #s(literal 4 binary64)) | |
| 54.7% | (pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 54.8% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 51.8% | (pow.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 53.8% | (pow.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 52.7% | (pow.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 52.7% | (pow.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 52.6% | (pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 54.7% | (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) #s(literal -1/2 binary64)) | |
| 54.7% | (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal -1/2 binary64)) | |
| 54.8% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) #s(literal -1/2 binary64)) | |
| 54.7% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64)) | |
| 52.7% | (pow.f64 #s(approx (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) | |
| 6.0% | (/.f64 (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.7% | (/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 6.6% | (/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 43.1% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 45.1% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 8.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))) | |
| 8.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| 40.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))) | |
| 45.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) | |
| 44.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 #s(approx (pow (pow (/ (* 2 y) x) -1/2) 2) (*.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y))))) | |
| 8.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| ✓ | 43.6% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 43.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.3% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.6% | (/.f64 (tan.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.0% | (/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 45.0% | (/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 45.9% | (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 7.1% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))) | |
| 7.0% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))) | |
| 7.5% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))) | |
| 7.5% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) (sin.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (PI.f64)))) #s(literal 2 binary64))) | |
| 6.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))) | |
| 6.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))) | |
| 6.6% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) #s(literal 1/2 binary64))) | |
| 6.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (PI.f64)))) #s(literal 1/2 binary64))) | |
| 7.0% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 7.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) | |
| 45.9% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 43.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) | |
| 45.3% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) #s(literal -1/2 binary64) (PI.f64)))))) | |
| 43.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)))))))) | |
| 43.2% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1 binary64)))))) | |
| 44.5% | (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 45.9% | (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 41.1% | (/.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 45.1% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) | |
| 55.3% | (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 54.7% | (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal 2 binary64))) | |
| 43.9% | (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 54.6% | (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 55.3% | (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))) | |
| 54.3% | (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) | |
| 54.8% | (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) | |
| 54.7% | (/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 0 binary64))))) | |
| 55.0% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) | |
| 55.3% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| 55.4% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (PI.f64)))) | |
| 55.1% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y))) (PI.f64)))) | |
| ✓ | 55.4% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) |
| 54.9% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (PI.f64)))) | |
| 55.3% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) (PI.f64)))) | |
| 54.8% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))) (PI.f64)))) | |
| 54.9% | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (PI.f64)))) | |
| 53.8% | (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))))) | |
| 53.8% | (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))))) | |
| 52.0% | (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) x #s(literal -1 binary64)))) | |
| 50.0% | (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1 binary64)))) | |
| 46.9% | (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) x #s(literal -1 binary64)))) | |
| 50.0% | (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) y)))) | |
| 5.3% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) | |
| 43.9% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 7.3% | (*.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 7.2% | (*.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 39.8% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) #s(literal -1 binary64))) | |
| 43.9% | (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) | |
| 43.5% | (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) x))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| ✓ | 43.4% | (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
| 43.7% | (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 40.8% | (*.f64 (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 39.8% | (*.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| 7.5% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64))) | |
| 44.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2))) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y))))) | |
| 51.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) | |
| ✓ | 43.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | 3.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) |
| ✓ | 56.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 6 024 to 2 427 computations (59.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) (PI.f64)))) |
(pow.f64 (pow.f64 #s(approx (* 1 (cos (* -1/2 (/ x y)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) #s(literal -1/2 binary64)) |
(pow.f64 #s(approx (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 (tan.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal 2 binary64))) |
(/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
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(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (PI.f64)))) |
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(*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
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(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))) (PI.f64)))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1/2 binary64)) |
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(/.f64 (tan.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
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(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64))))) |
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(pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
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(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))) |
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(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (fabs.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) x))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (pow (/ (* 2 y) x) -1/2) 2))) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (PI.f64)))) |
(/.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) #s(literal -1/2 binary64) (PI.f64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))) |
(/.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))) (+.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(*.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (PI.f64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 71.0ms | x |
| 68.0ms | (*.f64 y #s(literal 2 binary64)) |
| 39.0ms | y |
| 38.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 38.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 1 | x |
| 56.2% | 1 | y |
| 56.2% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 57.8% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 56.2% | 1 | (*.f64 y #s(literal 2 binary64)) |
Compiled 23 to 21 computations (8.7% saved)
Total -35.1b remaining (-125.2%)
Threshold costs -35.1b (-125.2%)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) (PI.f64)))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) (PI.f64)))) |
(pow.f64 (pow.f64 #s(approx (* 1 (cos (* -1/2 (/ x y)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) #s(literal -1/2 binary64)) |
(pow.f64 #s(approx (pow (* 1 (cos (* -1/2 (/ x y)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 (tan.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal 2 binary64))) |
(/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (neg.f64 (PI.f64))))))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
2 calls:
| 18.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 12.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 56.2% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7408104888623238e+73 | 4.93034716100412e+79 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 51 |
| 1 | 29 | 51 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (PI.f64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (PI.f64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (PI.f64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 260 |
| 0 | 91 | 230 |
| 1 | 340 | 223 |
| 2 | 2060 | 212 |
| 0 | 9108 | 210 |
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 37 | 33 |
| 2 | 208 | 28 |
| 3 | 2143 | 28 |
| 0 | 8466 | 28 |
| 0 | 52 | 248 |
| 0 | 86 | 244 |
| 1 | 363 | 217 |
| 2 | 2638 | 208 |
| 0 | 8272 | 208 |
| 0 | 316 | 1577 |
| 1 | 1051 | 1537 |
| 2 | 4538 | 1499 |
| 0 | 8172 | 1396 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 125 to 79 computations (36.8% saved)
Compiled 336 to 208 computations (38.1% saved)
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