
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-sin: 341.0ms (41.4% of total)ival-cos: 229.0ms (27.8% of total)ival-mult: 186.0ms (22.6% of total)ival-sub: 56.0ms (6.8% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 4.0ms (0.5% of total)adjust: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 90.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 39.0ms (64% of total)ival-cos: 11.0ms (18% of total)ival-mult: 7.0ms (11.5% of total)ival-sub: 2.0ms (3.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 84 |
| 2 | 146 | 84 |
| 3 | 245 | 84 |
| 4 | 451 | 84 |
| 5 | 1001 | 84 |
| 6 | 2456 | 84 |
| 7 | 5377 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 25 | 9 |
| 2 | 41 | 9 |
| 3 | 68 | 9 |
| 4 | 106 | 9 |
| 5 | 222 | 9 |
| 6 | 554 | 9 |
| 7 | 1420 | 9 |
| 8 | 3125 | 9 |
| 9 | 6739 | 9 |
| 0 | 8177 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 25 | 24 |
| 2 | 41 | 24 |
| 3 | 68 | 24 |
| 4 | 106 | 24 |
| 5 | 222 | 24 |
| 6 | 554 | 24 |
| 7 | 1420 | 24 |
| 8 | 3125 | 24 |
| 9 | 6739 | 24 |
| 0 | 8177 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.09765625 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.125 | (*.f64 z (sin.f64 y)) |
| 71.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 11.0ms (49.7% of total)ival-sin: 5.0ms (22.6% of total)ival-mult: 4.0ms (18.1% of total)ival-sub: 1.0ms (4.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (sin y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | y | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 265 |
| 1 | 344 | 258 |
| 2 | 1199 | 252 |
| 3 | 4495 | 246 |
| 0 | 8267 | 227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (sin y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 38 | 19 |
| 2 | 239 | 19 |
| 3 | 2445 | 19 |
| 0 | 8361 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))))))) |
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(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) x)) |
(fma.f64 x (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 y)))) |
(fabs.f64 (*.f64 (neg.f64 x) (cos.f64 y))) |
(fabs.f64 (*.f64 (cos.f64 y) x)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 y) (neg.f64 (cos.f64 y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 y) (neg.f64 (cos.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 y))) (fabs.f64 (fabs.f64 z))) |
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 z))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y)))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z)) |
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(fabs.f64 (*.f64 (sin.f64 y) z)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (sin.f64 y) z))) (sinh.f64 (log.f64 (*.f64 (sin.f64 y) z)))) |
Compiled 6 250 to 698 computations (88.8% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 194 | 19 | 213 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 195 | 19 | 214 |
| Status | Accuracy | Program |
|---|---|---|
| 32.8% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 56.5% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 32.7% | (fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 45.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ▶ | 41.3% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 56.5% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 59.4% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 38.5% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| 56.0% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) | |
| ▶ | 52.0% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)))) |
| 64.7% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ▶ | 75.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 50.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) | |
| 50.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| ▶ | 52.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 92.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| 88.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| 42.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 786 to 504 computations (35.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 y) x) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)))) | |
| cost-diff | 2 | (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) y x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 256 |
| 0 | 69 | 256 |
| 1 | 127 | 256 |
| 2 | 310 | 253 |
| 3 | 1303 | 253 |
| 4 | 5433 | 253 |
| 0 | 8533 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
#s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) |
z |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 z) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y) z))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
#s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y))) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y) z)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y) z) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) z) |
z |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) |
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(*.f64 (*.f64 x (cos.f64 y)) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 z) |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (sqrt.f64 (cos.f64 y)) | |
| accuracy | 0.05078125 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.0703125 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 22.108369020481963 | (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) | |
| accuracy | 0.05078125 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.9330919212461531 | (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 2.6562396791510294 | (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) | |
| accuracy | 16.084442534561173 | #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y))) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.05078125 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.0703125 | (*.f64 z (sin.f64 y)) | |
| accuracy | 13.258469781824408 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 (neg.f64 z) y x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 15.022392810579127 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.02734375 | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.0703125 | (*.f64 (neg.f64 z) (sin.f64 y)) |
| 78.0ms | 191× | 0 | valid |
| 23.0ms | 65× | 0 | invalid |
Compiled 215 to 36 computations (83.3% saved)
ival-mult: 37.0ms (46.6% of total)const: 10.0ms (12.6% of total)ival-add: 9.0ms (11.3% of total)ival-cos: 7.0ms (8.8% of total)ival-sin: 6.0ms (7.6% of total)ival-sqrt: 4.0ms (5% of total)ival-pow: 4.0ms (5% of total)ival-sub: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(cos.f64 y) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(*.f64 (cos.f64 y) x) |
#s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) |
(sqrt.f64 (cos.f64 y)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* x (cos y)) |
(* x (sqrt (cos y))) |
(* (pow x 2) (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (cos y))) |
(* -1 (* x (+ (cos y) (/ (* z (sin y)) x)))) |
(* -1 (* x (sqrt (cos y)))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ x (* -1/4 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* -1/96 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* (pow y 2) (+ (* -1/96 x) (* -19/5760 (* x (pow y 2)))))))) |
(pow x 2) |
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2)) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))) |
(+ 1 (* -1/4 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
(cos y) |
(* y (+ (* -1 z) (/ x y))) |
(* z (sin y)) |
(* -1/5040 (* (pow y 7) z)) |
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* -1/5040 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(sqrt (cos y)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))) |
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))) |
(* -1 z) |
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 y) (/ x z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 64.0ms | z | @ | inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (pow y 3) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6))) (* z y)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* z (sin y)) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6)) (sqrt (cos y))) |
| 9.0ms | y | @ | inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (pow y 3) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6))) (* z y)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* z (sin y)) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6)) (sqrt (cos y))) |
| 6.0ms | z | @ | 0 | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (pow y 3) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6))) (* z y)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* z (sin y)) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6)) (sqrt (cos y))) |
| 5.0ms | x | @ | 0 | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (pow y 3) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6))) (* z y)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* z (sin y)) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6)) (sqrt (cos y))) |
| 3.0ms | z | @ | -inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (pow y 3) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6))) (* z y)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* z (sin y)) (* z (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6)) (sqrt (cos y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 916 |
| 1 | 936 | 895 |
| 2 | 3525 | 849 |
| 0 | 8242 | 791 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* x (cos y)) |
(* x (sqrt (cos y))) |
(* (pow x 2) (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (cos y))) |
(* -1 (* x (+ (cos y) (/ (* z (sin y)) x)))) |
(* -1 (* x (sqrt (cos y)))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ x (* -1/4 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* -1/96 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* (pow y 2) (+ (* -1/96 x) (* -19/5760 (* x (pow y 2)))))))) |
(pow x 2) |
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2)) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))) |
(+ 1 (* -1/4 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
(cos y) |
(* y (+ (* -1 z) (/ x y))) |
(* z (sin y)) |
(* -1/5040 (* (pow y 7) z)) |
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* -1/5040 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(sqrt (cos y)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))) |
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))) |
(* -1 z) |
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 y) (/ x z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (sqrt (cos y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(* (pow x 2) (cos y)) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (cos y))) |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(* -1 (* x (+ (cos y) (/ (* z (sin y)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(* -1 (* x (sqrt (cos y)))) |
(*.f64 (neg.f64 x) (sqrt.f64 (cos.f64 y))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) x)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) z (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 z y)) |
(+ x (* -1/4 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* -1/96 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -1/96 binary64) y) y #s(literal -1/4 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* (pow y 2) (+ (* -1/96 x) (* -19/5760 (* x (pow y 2)))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal -19/5760 binary64) y) y #s(literal -1/96 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) y) y (*.f64 x x)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(* -1/6 z) |
(*.f64 #s(literal -1/6 binary64) z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) z (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) |
(+ 1 (* -1/4 (pow y 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 y y)) #s(literal 1/96 binary64)) y) y) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(* y (+ (* -1 z) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1/5040 (* (pow y 7) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 7 binary64)) z) #s(literal -1/5040 binary64)) |
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(*.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/120 binary64) y) (/.f64 z y) (*.f64 z (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)))) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 z (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 7 binary64))) |
(* -1/5040 (* (pow y 4) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) z) |
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/120 binary64) y) (/.f64 z y) (*.f64 z (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(sqrt (cos y)) |
(sqrt.f64 (cos.f64 y)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))) |
(*.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 7 binary64))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/120 binary64) y) (/.f64 z y) (*.f64 z (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)))) (pow.f64 y #s(literal 7 binary64))) |
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))) |
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 z (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 7 binary64))) |
(* -1 z) |
(neg.f64 z) |
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64)) y) z) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64)) y) z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 191 |
| 0 | 69 | 184 |
| 1 | 256 | 184 |
| 2 | 1719 | 183 |
| 0 | 8547 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(cos.f64 y) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(*.f64 (cos.f64 y) x) |
#s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) |
(sqrt.f64 (cos.f64 y)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) |
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(fma.f64 z (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 #s(literal -1/6 binary64) z)) |
(fma.f64 z #s(literal -1/6 binary64) (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) (*.f64 #s(literal -1/6 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) (*.f64 #s(literal -1/6 binary64) z)))) |
(-.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) (*.f64 #s(literal 1/6 binary64) z)) |
(-.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) (*.f64 (neg.f64 z) #s(literal -1/6 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) (*.f64 #s(literal -1/6 binary64) z))))) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/216 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) (*.f64 #s(literal -1/6 binary64) z)))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y)) |
(+.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) (*.f64 #s(literal -1/6 binary64) z)) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 y))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) |
(sqrt.f64 (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64)))) |
Compiled 20 405 to 1 789 computations (91.2% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 506 | 7 | 513 |
| Fresh | 3 | 11 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 511 | 21 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| 74.5% | (fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 56.5% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 32.7% | (fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 45.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ▶ | 28.4% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 56.5% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 59.4% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 38.5% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| ▶ | 56.0% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
| 64.7% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ✓ | 75.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 50.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
| 50.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| 50.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| ✓ | 52.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| ▶ | 92.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
| 88.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| 42.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 50.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) | |
| ▶ | 20.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Compiled 815 to 541 computations (33.6% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) | |
| cost-diff | 7 | (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 y) x) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 346 |
| 0 | 88 | 334 |
| 1 | 166 | 332 |
| 2 | 399 | 332 |
| 3 | 1199 | 332 |
| 4 | 3146 | 326 |
| 5 | 5914 | 326 |
| 0 | 8583 | 326 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sqrt.f64 (cos.f64 y)) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
z |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 y) z) |
(*.f64 (neg.f64 z) y) |
(neg.f64 y) |
y |
z |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (*.f64 x x) (cos.f64 y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) |
(sqrt.f64 (*.f64 (*.f64 x x) (cos.f64 y))) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(*.f64 (*.f64 x x) (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sqrt.f64 (cos.f64 y)) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
z |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(*.f64 (sin.f64 y) z) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.05078125 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.17644501953688402 | (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) | |
| accuracy | 2.909227928443449 | (sqrt.f64 (*.f64 (sin.f64 y) z)) | |
| accuracy | 0.1328125 | (*.f64 #s(literal 1/6 binary64) y) | |
| accuracy | 1.6376957585084904 | (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) | |
| accuracy | 8.514851798107012 | #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) | |
| accuracy | 11.311878828115761 | (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) | |
| accuracy | 0.03515625 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 1.7570242741335331 | (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 7.16211726057003 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 8.583350952551072 | #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 7.902422108810302 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) | |
| accuracy | 14.501051644639071 | #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.01953125 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| accuracy | 0.0625 | (/.f64 (sin.f64 y) x) | |
| accuracy | 0.9819561659170588 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
| 80.0ms | 154× | 0 | invalid |
| 40.0ms | 102× | 0 | valid |
Compiled 271 to 47 computations (82.7% saved)
ival-mult: 37.0ms (39% of total)ival-add: 20.0ms (21.1% of total)const: 10.0ms (10.5% of total)ival-sin: 9.0ms (9.5% of total)ival-cos: 7.0ms (7.4% of total)ival-sqrt: 5.0ms (5.3% of total)ival-div: 2.0ms (2.1% of total)ival-sub: 2.0ms (2.1% of total)ival-neg: 2.0ms (2.1% of total)exact: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) y) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (sin y) x) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* x (cos y)) |
(* x (sqrt (cos y))) |
(* (pow x 2) (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (cos y))) |
(* -1 (* x (+ (cos y) (/ (* z (sin y)) x)))) |
(* -1 (* x (sqrt (cos y)))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* -1 y) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ x (* -1/4 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* -1/96 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* (pow y 2) (+ (* -1/96 x) (* -19/5760 (* x (pow y 2)))))))) |
(pow x 2) |
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2)) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(* 1/6 y) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z)))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z)))))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y)))))))) |
(* y (+ (* -1 z) (/ x y))) |
(* z (sin y)) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(sqrt (* z (sin y))) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 y) (/ x z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | y | @ | -inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* z (+ (* 1/120 (* y y)) -1/6)) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z)) |
| 12.0ms | z | @ | -inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* z (+ (* 1/120 (* y y)) -1/6)) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z)) |
| 4.0ms | y | @ | inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* z (+ (* 1/120 (* y y)) -1/6)) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z)) |
| 3.0ms | z | @ | 0 | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* z (+ (* 1/120 (* y y)) -1/6)) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z)) |
| 3.0ms | z | @ | inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (neg z) (sin y))) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* z (+ (* 1/120 (* y y)) -1/6)) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 951 |
| 1 | 1006 | 921 |
| 2 | 3672 | 873 |
| 0 | 8296 | 816 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (sin y) x) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* x (cos y)) |
(* x (sqrt (cos y))) |
(* (pow x 2) (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (cos y))) |
(* -1 (* x (+ (cos y) (/ (* z (sin y)) x)))) |
(* -1 (* x (sqrt (cos y)))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* -1 y) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ x (* -1/4 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* -1/96 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* (pow y 2) (+ (* -1/96 x) (* -19/5760 (* x (pow y 2)))))))) |
(pow x 2) |
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2)) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(* 1/6 y) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z)))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z)))))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y)))))))) |
(* y (+ (* -1 z) (/ x y))) |
(* z (sin y)) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(sqrt (* z (sin y))) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 y) (/ x z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (sqrt (cos y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) x) |
(* (pow x 2) (cos y)) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (cos y))) |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(* -1 (* x (+ (cos y) (/ (* z (sin y)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(* -1 (* x (sqrt (cos y)))) |
(*.f64 (neg.f64 x) (sqrt.f64 (cos.f64 y))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* y z) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y y) x) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/5040 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (/.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(+ x (* -1/2 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x x)) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(+ x (* -1/4 (* x (pow y 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* -1/96 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/4 x) (* (pow y 2) (+ (* -1/96 x) (* -19/5760 (* x (pow y 2)))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) (*.f64 y y) x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) y) y (*.f64 x x)) |
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(* -1/6 z) |
(*.f64 #s(literal -1/6 binary64) z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(sqrt (* y z)) |
(sqrt.f64 (*.f64 z y)) |
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z)))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) z)) #s(literal -1/12 binary64) (sqrt.f64 (*.f64 z y))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z)))))) |
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y)))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 z y)) (fma.f64 #s(literal 1/1440 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y))) |
(* y (+ (* -1 z) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* 1/120 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (*.f64 (*.f64 z (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) y) y) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (*.f64 (*.f64 z (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1/6 binary64))) y) y) |
(sqrt (* z (sin y))) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) z) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 261 |
| 0 | 88 | 247 |
| 1 | 297 | 242 |
| 2 | 1908 | 236 |
| 0 | 8653 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) |
(*.f64 (*.f64 (cos.f64 y) x) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) y) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) |
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)))) (fabs.f64 (sqrt.f64 x)) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) |
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(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64)) |
(neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (*.f64 z (sin.f64 y))) |
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(exp.f64 (/.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 z)) |
(*.f64 (fabs.f64 (sin.f64 y)) z) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z) |
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 z (fabs.f64 (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (sin.f64 y) z) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 z (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 z (sin.f64 y)))) (sinh.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
Compiled 22 138 to 2 317 computations (89.5% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 663 | 17 | 680 |
| Fresh | 6 | 7 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 672 | 29 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.5% | (fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 56.5% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 32.7% | (fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 45.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 28.8% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (neg.f64 z)) y))) | |
| 39.3% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (sqrt.f64 z) (*.f64 (cos.f64 y) x)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 59.4% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 56.0% | (-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| 47.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z)) | |
| 51.7% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))) | |
| ✓ | 75.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ✓ | 50.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
| 50.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (* z (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| 50.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) | |
| 42.7% | #s(approx (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 50.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| ✓ | 52.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 57.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))) | |
| 57.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) | |
| 88.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)) | |
| ▶ | 76.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) |
| ▶ | 88.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
| 44.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) | |
| 50.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) | |
| 35.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) | |
| ▶ | 58.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
| ▶ | 35.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| ✓ | 20.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Compiled 1 267 to 832 computations (34.3% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) | |
| cost-diff | 11 | (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (sqrt.f64 (cos.f64 y)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 3 | (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 332 |
| 0 | 64 | 329 |
| 1 | 107 | 320 |
| 2 | 197 | 320 |
| 3 | 619 | 320 |
| 4 | 2378 | 287 |
| 5 | 7036 | 287 |
| 0 | 8325 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) |
(*.f64 (/.f64 x z) (cos.f64 y)) |
(/.f64 x z) |
x |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(sqrt.f64 (cos.f64 y)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) |
(*.f64 z (/.f64 (sin.f64 y) x)) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z)) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z) |
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) |
(-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) |
(*.f64 (/.f64 x z) (cos.f64 y)) |
(*.f64 (/.f64 (cos.f64 y) z) x) |
(/.f64 x z) |
x |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(cos.f64 y) |
(sqrt.f64 (cos.f64 y)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (neg.f64 (cos.f64 y))) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (neg.f64 (cos.f64 y))) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (neg.f64 (cos.f64 y))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) |
(*.f64 z (/.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) x) z) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.146816259768442 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 2.5686453859877716 | (*.f64 z (/.f64 (sin.f64 y) x)) | |
| accuracy | 2.674290973914513 | (*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x) | |
| accuracy | 8.888616119472353 | (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) | |
| accuracy | 0.02734375 | (fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.0390625 | (sqrt.f64 (cos.f64 y)) | |
| accuracy | 0.0703125 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 0.1328125 | (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 2.674290973914513 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x) | |
| accuracy | 18.416580923086403 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) | |
| accuracy | 2.674290973914513 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) | |
| accuracy | 25.563566349516943 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) | |
| accuracy | 0.05859375 | (*.f64 (/.f64 x z) (cos.f64 y)) | |
| accuracy | 5.463189438092153 | (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
| 71.0ms | 191× | 0 | valid |
| 42.0ms | 65× | 0 | invalid |
Compiled 260 to 33 computations (87.3% saved)
ival-mult: 35.0ms (48.5% of total)ival-pow2: 8.0ms (11.1% of total)ival-cos: 7.0ms (9.7% of total)ival-div: 6.0ms (8.3% of total)ival-sin: 6.0ms (8.3% of total)ival-add: 3.0ms (4.2% of total)ival-sub: 3.0ms (4.2% of total)ival-sqrt: 2.0ms (2.8% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) |
(*.f64 (/.f64 x z) (cos.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) |
(cos.f64 y) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (cos.f64 y)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 z (/.f64 (sin.f64 y) x)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (* x (cos y)) z) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (pow x 2)) |
(/ (* z (sin y)) x) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(pow (cos y) 2) |
(+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ 1 (* -1/4 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
(+ 1 (* y (- (* y (- (+ 1/2 (* -1 (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (/ (pow z 2) (pow x 2))))) (/ z x)))) |
(+ 1 (* y (- (* y (- (+ 1/2 (+ (* -1 (* y (+ (* -1/6 (/ z x)) (+ (* 1/2 (/ z x)) (/ (* z (- (+ 1/2 (* -1 (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (/ (pow z 2) (pow x 2))))) x))))) (* -1 (+ 1 (/ (pow z 2) (pow x 2)))))) (* -1 (/ (pow z 2) (pow x 2))))) (/ z x)))) |
(+ x (* y (- (* y (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ x (* y (- (* y (- (+ (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ 1 (* -1 (* (pow y 2) (+ 1 (/ (pow z 2) (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- 1/3 (* -1/3 (/ (pow z 2) (pow x 2))))) (+ 1 (/ (pow z 2) (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ 1/3 (* -1 (* (pow y 2) (+ 2/45 (* 2/45 (/ (pow z 2) (pow x 2))))))) (* -1/3 (/ (pow z 2) (pow x 2))))) (+ 1 (/ (pow z 2) (pow x 2)))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(/ (* y z) x) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(sqrt (cos y)) |
(/ (- (pow (cos y) 2) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (+ (cos y) (/ (* z (sin y)) x))) |
(/ (* x (- (pow (cos y) 2) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x))) |
(- (pow (cos y) 2) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* (pow z 2) (- (/ (pow (cos y) 2) (pow z 2)) (/ (pow (sin y) 2) (pow x 2)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) x) (* (neg z) (sin y))) (sqrt (cos y)) (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) (- (* x (cos y)) (* z (sin y))) (* (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) x) (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (* (neg z) (sin y)) (* z (/ (sin y) x)) (pow (cos y) 2)) |
| 7.0ms | z | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) x) (* (neg z) (sin y))) (sqrt (cos y)) (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) (- (* x (cos y)) (* z (sin y))) (* (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) x) (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (* (neg z) (sin y)) (* z (/ (sin y) x)) (pow (cos y) 2)) |
| 5.0ms | y | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) x) (* (neg z) (sin y))) (sqrt (cos y)) (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) (- (* x (cos y)) (* z (sin y))) (* (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) x) (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (* (neg z) (sin y)) (* z (/ (sin y) x)) (pow (cos y) 2)) |
| 4.0ms | x | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) x) (* (neg z) (sin y))) (sqrt (cos y)) (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) (- (* x (cos y)) (* z (sin y))) (* (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) x) (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (* (neg z) (sin y)) (* z (/ (sin y) x)) (pow (cos y) 2)) |
| 4.0ms | z | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) x) (* (neg z) (sin y))) (sqrt (cos y)) (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) (- (* x (cos y)) (* z (sin y))) (* (/ (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (+ (* z (/ (sin y) x)) (cos y))) x) (- (pow (cos y) 2) (pow (* z (/ (sin y) x)) 2)) (* (neg z) (sin y)) (* z (/ (sin y) x)) (pow (cos y) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 1139 |
| 1 | 981 | 1089 |
| 2 | 3708 | 1075 |
| 0 | 8280 | 1011 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (* x (cos y)) z) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (pow x 2)) |
(/ (* z (sin y)) x) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(pow (cos y) 2) |
(+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ 1 (* -1/4 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
(+ 1 (* y (- (* y (- (+ 1/2 (* -1 (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (/ (pow z 2) (pow x 2))))) (/ z x)))) |
(+ 1 (* y (- (* y (- (+ 1/2 (+ (* -1 (* y (+ (* -1/6 (/ z x)) (+ (* 1/2 (/ z x)) (/ (* z (- (+ 1/2 (* -1 (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (/ (pow z 2) (pow x 2))))) x))))) (* -1 (+ 1 (/ (pow z 2) (pow x 2)))))) (* -1 (/ (pow z 2) (pow x 2))))) (/ z x)))) |
(+ x (* y (- (* y (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ x (* y (- (* y (- (+ (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ 1 (* -1 (* (pow y 2) (+ 1 (/ (pow z 2) (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- 1/3 (* -1/3 (/ (pow z 2) (pow x 2))))) (+ 1 (/ (pow z 2) (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ 1/3 (* -1 (* (pow y 2) (+ 2/45 (* 2/45 (/ (pow z 2) (pow x 2))))))) (* -1/3 (/ (pow z 2) (pow x 2))))) (+ 1 (/ (pow z 2) (pow x 2)))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(/ (* y z) x) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(sqrt (cos y)) |
(/ (- (pow (cos y) 2) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (+ (cos y) (/ (* z (sin y)) x))) |
(/ (* x (- (pow (cos y) 2) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x))) |
(- (pow (cos y) 2) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* (pow z 2) (- (/ (pow (cos y) 2) (pow z 2)) (/ (pow (sin y) 2) (pow x 2)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/ (* x (cos y)) z) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 (neg.f64 z) x))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (*.f64 x x)) |
(/ (* z (sin y)) x) |
(*.f64 (/.f64 (sin.f64 y) x) z) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 (neg.f64 z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 y) (/ x z)) |
(fma.f64 #s(literal -1 binary64) y (/.f64 x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/2 binary64) x) x) z) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) x (*.f64 #s(literal -1/2 binary64) x)) z) (*.f64 y y) (/.f64 x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(+.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/2 binary64) x) x) z) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/24 binary64) x (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) x)) z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* y z) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow y 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 y y)) #s(literal 1/96 binary64)) y) y) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (+ 1/2 (* -1 (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (/ (pow z 2) (pow x 2))))) (/ z x)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (-.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 1 binary64)))) y) (/.f64 z x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (+ 1/2 (+ (* -1 (* y (+ (* -1/6 (/ z x)) (+ (* 1/2 (/ z x)) (/ (* z (- (+ 1/2 (* -1 (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (/ (pow z 2) (pow x 2))))) x))))) (* -1 (+ 1 (/ (pow z 2) (pow x 2)))))) (* -1 (/ (pow z 2) (pow x 2))))) (/ z x)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (-.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 1 binary64)))) z (*.f64 z #s(literal 1/3 binary64))) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 1 binary64))))) y) (/.f64 z x)) y #s(literal 1 binary64)) |
(+ x (* y (- (* y (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 1 binary64)) x (*.f64 z (/.f64 (neg.f64 z) x))) (*.f64 #s(literal 1/2 binary64) x)) y) z) y x) |
(+ x (* y (- (* y (- (+ (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 1 binary64)) x (*.f64 z (/.f64 (neg.f64 z) x))) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z x) (*.f64 z #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 z (/.f64 z x))) (*.f64 #s(literal 1/2 binary64) x)) y) z) y x) |
(+ 1 (* -1 (* (pow y 2) (+ 1 (/ (pow z 2) (pow x 2)))))) |
(fma.f64 (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- 1/3 (* -1/3 (/ (pow z 2) (pow x 2))))) (+ 1 (/ (pow z 2) (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 z (/.f64 z x)) #s(literal 1/3 binary64)) (*.f64 y y) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) #s(literal -1 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ 1/3 (* -1 (* (pow y 2) (+ 2/45 (* 2/45 (/ (pow z 2) (pow x 2))))))) (* -1/3 (/ (pow z 2) (pow x 2))))) (+ 1 (/ (pow z 2) (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 z (/.f64 z x)) (fma.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 1 binary64)) #s(literal -2/45 binary64)) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 y y) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) #s(literal -1 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) y) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) z) y z) x) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) (/.f64 z x)) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 z x) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) x)) (*.f64 y y) (/.f64 z x)) y) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(sqrt (cos y)) |
(sqrt.f64 (cos.f64 y)) |
(/ (- (pow (cos y) 2) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (+ (cos y) (/ (* z (sin y)) x))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 (neg.f64 z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(/ (* x (- (pow (cos y) 2) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 (neg.f64 z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) |
(- (pow (cos y) 2) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 (neg.f64 z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* (pow z 2) (- (/ (pow (cos y) 2) (pow z 2)) (/ (pow (sin y) 2) (pow x 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (*.f64 z z)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 280 |
| 0 | 64 | 276 |
| 1 | 205 | 229 |
| 2 | 1393 | 229 |
| 0 | 8895 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) |
(*.f64 (/.f64 x z) (cos.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) |
(cos.f64 y) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (cos.f64 y)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 z (/.f64 (sin.f64 y) x)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)) z)) |
(*.f64 (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)) z) |
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) |
(*.f64 (cos.f64 y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (cos.f64 y)) |
(*.f64 x (/.f64 (cos.f64 y) z)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 y) (neg.f64 x))) z) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 y))) z) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 y) x))) z) |
(/.f64 (*.f64 (cos.f64 y) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 y) x)) (neg.f64 z)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64))) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x) |
(*.f64 x #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y))) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 y))))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (cos.f64 y)))) |
(pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (cos.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (cos.f64 y))) (cosh.f64 (log.f64 (cos.f64 y))) (-.f64 (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) (*.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y))))))) |
(/.f64 (sqrt.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (acos.f64 (fabs.f64 (sin.f64 y)))) |
(sin.f64 (acos.f64 (neg.f64 (sin.f64 y)))) |
(sin.f64 (acos.f64 (sin.f64 y))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (cos.f64 y))) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (asin.f64 (fabs.f64 (sin.f64 y)))) |
(cos.f64 (asin.f64 (neg.f64 (sin.f64 y)))) |
(cos.f64 (asin.f64 (sin.f64 y))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 y))))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (cos.f64 y)))) |
(pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (cos.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (cos.f64 y))) (cosh.f64 (log.f64 (cos.f64 y))) (-.f64 (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) (*.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y))))))) |
(/.f64 (sqrt.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (acos.f64 (fabs.f64 (sin.f64 y)))) |
(sin.f64 (acos.f64 (neg.f64 (sin.f64 y)))) |
(sin.f64 (acos.f64 (sin.f64 y))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (cos.f64 y))) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (asin.f64 (fabs.f64 (sin.f64 y)))) |
(cos.f64 (asin.f64 (neg.f64 (sin.f64 y)))) |
(cos.f64 (asin.f64 (sin.f64 y))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) |
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(fma.f64 (cos.f64 y) (cos.f64 y) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (fma.f64 (cos.f64 y) (cos.f64 y) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 4 binary64)) (fma.f64 (cos.f64 y) (cos.f64 y) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (fma.f64 (cos.f64 y) (cos.f64 y) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(neg.f64 (*.f64 (sin.f64 y) z)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) x) z))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) x) z)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) x) z))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) x) z)))) |
(*.f64 (fabs.f64 (neg.f64 (/.f64 (sin.f64 y) x))) (fabs.f64 z)) |
(*.f64 (fabs.f64 (/.f64 (sin.f64 y) x)) (fabs.f64 (neg.f64 z))) |
(*.f64 (fabs.f64 (/.f64 (sin.f64 y) x)) (fabs.f64 z)) |
(*.f64 (fabs.f64 (neg.f64 z)) (fabs.f64 (/.f64 (sin.f64 y) x))) |
(*.f64 (fabs.f64 z) (fabs.f64 (neg.f64 (/.f64 (sin.f64 y) x)))) |
(*.f64 (fabs.f64 z) (fabs.f64 (/.f64 (sin.f64 y) x))) |
(*.f64 (exp.f64 (log.f64 (/.f64 (sin.f64 y) x))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (/.f64 (sin.f64 y) x)))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 (/.f64 z x) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) x) z))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (/.f64 z x))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (/.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 (sin.f64 y) x) z) |
(*.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 z (/.f64 (sin.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 1 binary64)) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) (fabs.f64 (neg.f64 x))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))) (fabs.f64 (neg.f64 x))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) (exp.f64 (log.f64 x))) |
(/.f64 (fabs.f64 (*.f64 (sin.f64 y) z)) (fabs.f64 (neg.f64 x))) |
(/.f64 (fabs.f64 (*.f64 (sin.f64 y) z)) (fabs.f64 x)) |
(/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 y) z) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) |
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) |
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) x) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) x) z))) (sinh.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) x) z)))) |
(*.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 (cos.f64 y)))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y))) |
(pow.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 4 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) #s(literal -2 binary64)) |
(/.f64 (fabs.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y))) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) y)) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) y)) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 y (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(-.f64 (/.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 4 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 y) y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 y) y)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (+.f64 y (neg.f64 y))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 y (neg.f64 y))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (+.f64 y y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 y y)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
Compiled 33 094 to 3 624 computations (89% saved)
35 alts after pruning (27 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 730 | 12 | 742 |
| Fresh | 4 | 15 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 736 | 35 | 771 |
| Status | Accuracy | Program |
|---|---|---|
| 45.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 39.3% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (sqrt.f64 z) (*.f64 (cos.f64 y) x)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 59.4% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 56.0% | (-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| 47.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z)) | |
| 51.7% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))) | |
| ✓ | 75.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ✓ | 50.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
| 50.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (* z (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| 50.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) | |
| 42.7% | #s(approx (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 50.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| ✓ | 52.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 66.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) | |
| 75.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) | |
| 57.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) | |
| 88.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)) | |
| 76.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) | |
| 43.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 #s(approx (pow (cos y) 2) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) | |
| ✓ | 88.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
| 79.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (/.f64 x (-.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)))) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))) | |
| 30.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) | |
| 88.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z)) | |
| 44.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) | |
| 45.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))) x)) | |
| 46.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) x)) | |
| 50.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) | |
| 35.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) | |
| 35.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) x)) | |
| ✓ | 58.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
| 33.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x)) | |
| 32.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) x)) | |
| ✓ | 35.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| ✓ | 20.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Compiled 2 310 to 904 computations (60.9% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (* z (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) x)) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (sqrt.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 #s(approx (pow (cos y) 2) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (/.f64 x (-.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)))) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
4 calls:
| 57.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 35.0ms | y |
| 14.0ms | z |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (* z (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 21.0ms | z |
| 7.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (* z (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
4 calls:
| 46.0ms | z |
| 6.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 2 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 88.9% | 3 | x |
| 79.0% | 2 | y |
| 87.5% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (* z (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
4 calls:
| 42.0ms | y |
| 5.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 5.0ms | x |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 4 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 77.0% | 3 | y |
| 76.4% | 3 | z |
| 78.2% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (* z (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
3 calls:
| 5.0ms | x |
| 5.0ms | z |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 3 | z |
| 75.9% | 3 | y |
| 70.7% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (* z (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
4 calls:
| 33.0ms | y |
| 5.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 4.0ms | x |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 52.0% | 1 | z |
| 52.0% | 1 | x |
| 52.0% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
4 calls:
| 1.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.6% | 3 | x |
| 40.9% | 3 | z |
| 35.4% | 1 | y |
| 35.4% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
2 calls:
| 45.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.4% | 1 | z |
| 35.4% | 1 | x |
Compiled 2 to 6 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.7377617175794807e+129 | 3.4179902459412356e+129 |
| 49.0ms | -2.4112652451396785e+123 | -1.4091419562975732e+110 |
| 48.0ms | 224× | 0 | valid |
Compiled 516 to 406 computations (21.3% saved)
ival-cos: 6.0ms (38.8% of total)ival-sin: 5.0ms (32.3% of total)ival-mult: 3.0ms (19.4% of total)ival-sub: 1.0ms (6.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 3.4495472541530513e-50 | 1.767971846715203e-39 |
| 17.0ms | -2.0026777493795966e-42 | -3.774613989034824e-47 |
| 35.0ms | 288× | 0 | valid |
Compiled 732 to 554 computations (24.3% saved)
ival-cos: 16.0ms (57.9% of total)ival-sin: 6.0ms (21.7% of total)ival-mult: 4.0ms (14.5% of total)ival-sub: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 15154.051041489085 | 7.193928312439993e+31 |
| 17.0ms | -86276.06093240516 | -0.000574667553434467 |
| 32.0ms | 320× | 0 | valid |
Compiled 1 012 to 714 computations (29.4% saved)
ival-cos: 9.0ms (38.9% of total)ival-sin: 8.0ms (34.6% of total)ival-mult: 4.0ms (17.3% of total)ival-sub: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 3.157882733020393e-98 | 4.695669089840815e-92 |
| 14.0ms | -2.0026777493795966e-42 | -3.774613989034824e-47 |
| 23.0ms | 256× | 0 | valid |
Compiled 777 to 575 computations (26% saved)
ival-cos: 6.0ms (36.2% of total)ival-sin: 5.0ms (30.2% of total)ival-mult: 4.0ms (24.1% of total)ival-sub: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 264 |
| 1 | 122 | 258 |
| 2 | 168 | 258 |
| 3 | 227 | 258 |
| 4 | 293 | 258 |
| 5 | 427 | 258 |
| 6 | 779 | 258 |
| 7 | 1689 | 258 |
| 8 | 3744 | 258 |
| 9 | 7141 | 258 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 2099999999999999965473814143855820088983750546157567965698194708381744634667795541876972974916568185853136557901338152909909524480 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
(if (<=.f64 x #s(literal -1945901537969871/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 5399311828710207/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
(if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 15500 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(if (<=.f64 x #s(literal -7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5448618792035293/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 2099999999999999965473814143855820088983750546157567965698194708381744634667795541876972974916568185853136557901338152909909524480 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
(if (or (<=.f64 x #s(literal -1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008 binary64)) (not (<=.f64 x #s(literal 2099999999999999965473814143855820088983750546157567965698194708381744634667795541876972974916568185853136557901338152909909524480 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))) |
(if (<=.f64 x #s(literal -1945901537969871/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 5399311828710207/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
(if (or (<=.f64 x #s(literal -1945901537969871/6277101735386680763835789423207666416102355444464034512896 binary64)) (not (<=.f64 x #s(literal 5399311828710207/25711008708143844408671393477458601640355247900524685364822016 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))) |
(if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 15500 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
(if (or (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) (not (<=.f64 y #s(literal 15500 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(if (<=.f64 x #s(literal -7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5448618792035293/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)))) |
(if (or (<=.f64 x #s(literal -7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (not (<=.f64 x #s(literal 5448618792035293/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 38 | 19 |
| 2 | 239 | 19 |
| 3 | 2445 | 19 |
| 0 | 8361 | 19 |
| 0 | 97 | 265 |
| 1 | 344 | 258 |
| 2 | 1199 | 252 |
| 3 | 4495 | 246 |
| 0 | 8267 | 227 |
| 0 | 259 | 916 |
| 1 | 936 | 895 |
| 2 | 3525 | 849 |
| 0 | 8242 | 791 |
| 0 | 286 | 951 |
| 1 | 1006 | 921 |
| 2 | 3672 | 873 |
| 0 | 8296 | 816 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 264 to 76 computations (71.2% saved)
Compiled 546 to 168 computations (69.2% saved)
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