
Time bar (total: 7.1s)
| 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)
| 981.0ms | 8 256× | 0 | valid |
ival-sin: 217.0ms (35.9% of total)ival-cos: 196.0ms (32.4% of total)ival-mult: 146.0ms (24.1% of total)ival-add: 36.0ms (5.9% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 82.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-sin: 14.0ms (41.1% of total)ival-cos: 11.0ms (32.3% of total)ival-mult: 7.0ms (20.5% of total)ival-add: 2.0ms (5.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 84 |
| 1 | 106 | 81 |
| 2 | 251 | 81 |
| 3 | 718 | 81 |
| 4 | 1748 | 81 |
| 5 | 3622 | 81 |
| 6 | 6028 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 26 | 9 |
| 2 | 62 | 9 |
| 3 | 166 | 9 |
| 4 | 455 | 9 |
| 5 | 1175 | 9 |
| 6 | 2650 | 9 |
| 7 | 5355 | 9 |
| 8 | 7609 | 9 |
| 0 | 8054 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.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 (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 26 | 24 |
| 2 | 62 | 24 |
| 3 | 166 | 24 |
| 4 | 455 | 24 |
| 5 | 1175 | 24 |
| 6 | 2650 | 24 |
| 7 | 5355 | 24 |
| 8 | 7609 | 24 |
| 0 | 8054 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.08984375 | (*.f64 z (cos.f64 y)) | |
| accuracy | 0.1015625 | (*.f64 x (sin.f64 y)) |
| 61.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-sin: 12.0ms (55.9% of total)ival-cos: 5.0ms (23.3% of total)ival-mult: 3.0ms (14% of total)ival-add: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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))) |
(sin y) |
(cos y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 288 |
| 1 | 423 | 284 |
| 2 | 1588 | 274 |
| 3 | 4460 | 272 |
| 0 | 8253 | 237 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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))) |
(sin y) |
(cos y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 y x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (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)) y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(*.f64 z (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
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 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) 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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(sin y) |
(sin.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 39 | 21 |
| 2 | 285 | 21 |
| 3 | 3153 | 21 |
| 0 | 8581 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(-.f64 (*.f64 (neg.f64 (sin.f64 y)) (cos.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 y (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 y (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(-.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) y) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) y) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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))) |
Compiled 9 409 to 972 computations (89.7% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 419 | 19 | 438 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 420 | 19 | 439 |
| Status | Accuracy | Program |
|---|---|---|
| 64.3% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) | |
| ▶ | 41.1% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
| 79.6% | (fma.f64 (sqrt.f64 (fabs.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))) (sqrt.f64 (fabs.f64 x)) (*.f64 (cos.f64 y) z)) | |
| ▶ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| 56.2% | (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) | |
| ▶ | 32.3% | (/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64))) |
| 20.3% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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)))))))) | |
| 61.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| ▶ | 79.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 99.6% | (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) | |
| 20.2% | (*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) | |
| 56.1% | (*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 53.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 53.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| ▶ | 54.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 59.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 780 to 486 computations (37.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 27136 | (/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 y x z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 192 |
| 0 | 54 | 176 |
| 1 | 93 | 174 |
| 2 | 220 | 174 |
| 3 | 864 | 174 |
| 4 | 5636 | 174 |
| 0 | 8106 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(sqrt.f64 x) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
(/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(literal 2 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
(fma.f64 y x z) |
(fma.f64 x y z) |
y |
x |
z |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (*.f64 z (cos.f64 y))) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(sqrt.f64 x) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
(/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal 2 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) | |
| accuracy | 0.08173754884221009 | (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64)) | |
| accuracy | 0.10775375976844201 | (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 21.023926614751872 | (/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64))) | |
| accuracy | 0.08203125 | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.127285009768442 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 1.5783342488362648 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| accuracy | 4.6881314313188716 | (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| accuracy | 0.04296875 | (*.f64 x (sin.f64 y)) | |
| accuracy | 0.05078125 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 15.05476386705605 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 y x z) | |
| accuracy | 15.69708631641681 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.02734375 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.05078125 | (*.f64 (cos.f64 y) z) |
| 46.0ms | 131× | 0 | valid |
| 34.0ms | 125× | 0 | invalid |
Compiled 384 to 61 computations (84.1% saved)
ival-sin: 12.0ms (24.1% of total)ival-mult: 10.0ms (20.1% of total)ival-pow2: 8.0ms (16% of total)ival-add: 5.0ms (10% of total)ival-cos: 5.0ms (10% of total)ival-pow: 4.0ms (8% of total)ival-sqrt: 3.0ms (6% of total)ival-div: 2.0ms (4% 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 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x (sin.f64 y)) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64)) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* x (sin y)) |
(* (sqrt x) (sin y)) |
(* x (pow (sin y) 2)) |
(* (pow z 4) (pow (cos y) 4)) |
(+ (* 4 (* x (* (pow z 3) (* (pow (cos y) 3) (sin y))))) (* (pow z 4) (pow (cos y) 4))) |
(+ (* x (+ (* 4 (* (pow z 3) (* (pow (cos y) 3) (sin y)))) (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))))))) (* (pow z 4) (pow (cos y) 4))) |
(+ (* x (+ (* 4 (* (pow z 3) (* (pow (cos y) 3) (sin y)))) (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* x (* z (* (cos y) (pow (sin y) 3))))) (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))))))))) (* (pow z 4) (pow (cos y) 4))) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (cos y) 2))) |
(+ (* x (+ (* 2 (* z (* (cos y) (sin y)))) (* x (pow (sin y) 2)))) (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 3) (pow (cos y) 3)) |
(+ (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (* (pow z 2) (* (pow (cos y) 2) (sin y))))) (* (pow z 3) (pow (cos y) 3))) |
(+ (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (+ (* x (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (* z (* (cos y) (pow (sin y) 2))))) (* (pow z 2) (* (pow (cos y) 2) (sin y)))))) (* (pow z 3) (pow (cos y) 3))) |
(+ (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (+ (* x (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (+ (* x (pow (sin y) 3)) (* z (* (cos y) (pow (sin y) 2)))))) (* (pow z 2) (* (pow (cos y) 2) (sin y)))))) (* (pow z 3) (pow (cos y) 3))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (+ (* 4 (/ (* z (* (cos y) (pow (sin y) 3))) x)) (pow (sin y) 4))) |
(* (pow x 4) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (+ (* 4 (/ (* z (* (cos y) (pow (sin y) 3))) x)) (+ (* 4 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (pow (sin y) 4))))) |
(* (pow x 4) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (+ (* 4 (/ (* z (* (cos y) (pow (sin y) 3))) x)) (+ (* 4 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (+ (* 4 (/ (* (pow z 3) (* (pow (cos y) 3) (sin y))) (pow x 3))) (pow (sin y) 4)))))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (sin y) 2))) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (+ (* 2 (/ (* z (* (cos y) (pow (sin y) 2))) x)) (+ (/ (* z (* (cos y) (pow (sin y) 2))) x) (pow (sin y) 3)))) |
(* (pow x 3) (+ (* 2 (/ (* z (* (cos y) (pow (sin y) 2))) x)) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2))) (+ (/ (* z (* (cos y) (pow (sin y) 2))) x) (+ (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2)) (pow (sin y) 3)))))) |
(* (pow x 3) (+ (* 2 (/ (* z (* (cos y) (pow (sin y) 2))) x)) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2))) (+ (/ (* z (* (cos y) (pow (sin y) 2))) x) (+ (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2)) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -4 (* z (* (cos y) (pow (sin y) 3)))) (* -1 (/ (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))))) x))) x)) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -4 (* z (* (cos y) (pow (sin y) 3)))) (* -1 (/ (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (/ (* (pow z 3) (* (pow (cos y) 3) (sin y))) x)))) x))) x)) (pow (sin y) 4))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x))) x)) (pow (sin y) 2))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (* z (* (cos y) (pow (sin y) 2)))) x)) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (* -1 (* (pow z 2) (* (pow (cos y) 2) (sin y))))) x)) (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (* z (* (cos y) (pow (sin y) 2))))) x)) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (+ (* -1 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) x)))) x)) (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (* z (* (cos y) (pow (sin y) 2))))) x)) (* -1 (pow (sin y) 3))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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 (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(pow z 4) |
(+ (* 4 (* x (* y (pow z 3)))) (pow z 4)) |
(+ (* y (+ (* 4 (* x (pow z 3))) (* y (+ (* 2 (* (pow z 2) (+ (* -1 (pow z 2)) (pow x 2)))) (* 4 (* (pow x 2) (pow z 2))))))) (pow z 4)) |
(+ (* y (+ (* 4 (* x (pow z 3))) (* y (+ (* 2 (* (pow z 2) (+ (* -1 (pow z 2)) (pow x 2)))) (+ (* 4 (* (pow x 2) (pow z 2))) (* y (+ (* 2 (* (pow z 2) (+ (* -1 (* x z)) (* -1/3 (* x z))))) (* 4 (* x (* z (+ (* -1 (pow z 2)) (pow x 2)))))))))))) (pow z 4)) |
(pow z 2) |
(+ (* 2 (* x (* y z))) (pow z 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow z 2)) (pow x 2))))) (pow z 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow z 2)) (+ (* y (+ (* -1 (* x z)) (* -1/3 (* x z)))) (pow x 2)))))) (pow z 2)) |
(pow z 3) |
(+ (* y (+ (* 2 (* x (pow z 2))) (* x (pow z 2)))) (pow z 3)) |
(+ (* y (+ (* 2 (* x (pow z 2))) (+ (* x (pow z 2)) (* y (+ (* -1/2 (pow z 3)) (+ (* 2 (* (pow x 2) z)) (* z (+ (* -1 (pow z 2)) (pow x 2))))))))) (pow z 3)) |
(+ (* y (+ (* 2 (* x (pow z 2))) (+ (* x (pow z 2)) (* y (+ (* -1/2 (pow z 3)) (+ (* 2 (* (pow x 2) z)) (+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1/6 (* x (pow z 2))) (+ (* x (+ (* -1 (pow z 2)) (pow x 2))) (* z (+ (* -1 (* x z)) (* -1/3 (* x z)))))))) (* z (+ (* -1 (pow z 2)) (pow x 2)))))))))) (pow z 3)) |
(sin y) |
(cos y) |
(* y (+ x (/ z y))) |
(pow (sin y) 2) |
(pow (+ (* x (sin y)) (* z (cos y))) 4) |
(pow (+ (* x (sin y)) (* z (cos y))) 2) |
(pow (+ (* x (sin y)) (* z (cos y))) 3) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* 4 (* (pow x 3) (* z (* (cos y) (pow (sin y) 3))))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* z (+ (* 4 (* (pow x 3) (* (cos y) (pow (sin y) 3)))) (* z (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))))))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* z (+ (* 4 (* (pow x 3) (* (cos y) (pow (sin y) 3)))) (* z (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* x (* z (* (pow (cos y) 3) (sin y))))) (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))))))))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* z (+ (* 2 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* z (+ (* 2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (* (pow x 2) (* (cos y) (pow (sin y) 2))))) (* (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (+ (* z (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y))))) (* (pow x 2) (* (cos y) (pow (sin y) 2)))))) (* (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (+ (* z (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (+ (* x (* (pow (cos y) 2) (sin y))) (* z (pow (cos y) 3))))) (* (pow x 2) (* (cos y) (pow (sin y) 2)))))) (* (pow x 3) (pow (sin y) 3))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 4) (+ (* 4 (/ (* x (* (pow (cos y) 3) (sin y))) z)) (pow (cos y) 4))) |
(* (pow z 4) (+ (* 2 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (+ (* 4 (/ (* x (* (pow (cos y) 3) (sin y))) z)) (+ (* 4 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (pow (cos y) 4))))) |
(* (pow z 4) (+ (* 2 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (+ (* 4 (/ (* x (* (pow (cos y) 3) (sin y))) z)) (+ (* 4 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (+ (* 4 (/ (* (pow x 3) (* (cos y) (pow (sin y) 3))) (pow z 3))) (pow (cos y) 4)))))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))) |
(* (pow z 3) (+ (* 2 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (pow (cos y) 3)))) |
(* (pow z 3) (+ (* 2 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (+ (* 2 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2))) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (+ (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2)) (pow (cos y) 3)))))) |
(* (pow z 3) (+ (* 2 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (+ (* 2 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2))) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (+ (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2)) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3))))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* (pow z 4) (+ (* -1 (/ (+ (* -4 (* x (* (pow (cos y) 3) (sin y)))) (* -1 (/ (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))))) z))) z)) (pow (cos y) 4))) |
(* (pow z 4) (+ (* -1 (/ (+ (* -4 (* x (* (pow (cos y) 3) (sin y)))) (* -1 (/ (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (/ (* (pow x 3) (* (cos y) (pow (sin y) 3))) z)))) z))) z)) (pow (cos y) 4))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* (cos y) (sin y)))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) z))) z)) (pow (cos y) 2))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (* -1 (* (pow x 2) (* (cos y) (pow (sin y) 2))))) z)) (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y))))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (+ (* -1 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) z)))) z)) (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y))))) z)) (* -1 (pow (cos y) 3))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | z | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 2) (+ (* (cos y) z) (* (sin y) x)) (cos y) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) |
| 7.0ms | x | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 2) (+ (* (cos y) z) (* (sin y) x)) (cos y) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) |
| 5.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 2) (+ (* (cos y) z) (* (sin y) x)) (cos y) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) |
| 4.0ms | x | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 2) (+ (* (cos y) z) (* (sin y) x)) (cos y) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) |
| 3.0ms | x | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) (pow (pow (+ (* (cos y) z) (* (sin y) x)) 2) 2) (pow (+ (* (cos y) z) (* (sin y) x)) 2) (+ (* (cos y) z) (* (sin y) x)) (cos y) (pow (+ (* (cos y) z) (* (sin y) x)) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 615 | 2894 |
| 0 | 2475 | 2712 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* x (sin y)) |
(* (sqrt x) (sin y)) |
(* x (pow (sin y) 2)) |
(* (pow z 4) (pow (cos y) 4)) |
(+ (* 4 (* x (* (pow z 3) (* (pow (cos y) 3) (sin y))))) (* (pow z 4) (pow (cos y) 4))) |
(+ (* x (+ (* 4 (* (pow z 3) (* (pow (cos y) 3) (sin y)))) (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))))))) (* (pow z 4) (pow (cos y) 4))) |
(+ (* x (+ (* 4 (* (pow z 3) (* (pow (cos y) 3) (sin y)))) (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* x (* z (* (cos y) (pow (sin y) 3))))) (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))))))))) (* (pow z 4) (pow (cos y) 4))) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (cos y) 2))) |
(+ (* x (+ (* 2 (* z (* (cos y) (sin y)))) (* x (pow (sin y) 2)))) (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 3) (pow (cos y) 3)) |
(+ (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (* (pow z 2) (* (pow (cos y) 2) (sin y))))) (* (pow z 3) (pow (cos y) 3))) |
(+ (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (+ (* x (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (* z (* (cos y) (pow (sin y) 2))))) (* (pow z 2) (* (pow (cos y) 2) (sin y)))))) (* (pow z 3) (pow (cos y) 3))) |
(+ (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (+ (* x (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (+ (* x (pow (sin y) 3)) (* z (* (cos y) (pow (sin y) 2)))))) (* (pow z 2) (* (pow (cos y) 2) (sin y)))))) (* (pow z 3) (pow (cos y) 3))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (+ (* 4 (/ (* z (* (cos y) (pow (sin y) 3))) x)) (pow (sin y) 4))) |
(* (pow x 4) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (+ (* 4 (/ (* z (* (cos y) (pow (sin y) 3))) x)) (+ (* 4 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (pow (sin y) 4))))) |
(* (pow x 4) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (+ (* 4 (/ (* z (* (cos y) (pow (sin y) 3))) x)) (+ (* 4 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (+ (* 4 (/ (* (pow z 3) (* (pow (cos y) 3) (sin y))) (pow x 3))) (pow (sin y) 4)))))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (sin y) 2))) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (+ (* 2 (/ (* z (* (cos y) (pow (sin y) 2))) x)) (+ (/ (* z (* (cos y) (pow (sin y) 2))) x) (pow (sin y) 3)))) |
(* (pow x 3) (+ (* 2 (/ (* z (* (cos y) (pow (sin y) 2))) x)) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2))) (+ (/ (* z (* (cos y) (pow (sin y) 2))) x) (+ (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2)) (pow (sin y) 3)))))) |
(* (pow x 3) (+ (* 2 (/ (* z (* (cos y) (pow (sin y) 2))) x)) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2))) (+ (/ (* z (* (cos y) (pow (sin y) 2))) x) (+ (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2)) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -4 (* z (* (cos y) (pow (sin y) 3)))) (* -1 (/ (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))))) x))) x)) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -4 (* z (* (cos y) (pow (sin y) 3)))) (* -1 (/ (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (/ (* (pow z 3) (* (pow (cos y) 3) (sin y))) x)))) x))) x)) (pow (sin y) 4))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x))) x)) (pow (sin y) 2))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (* z (* (cos y) (pow (sin y) 2)))) x)) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (* -1 (* (pow z 2) (* (pow (cos y) 2) (sin y))))) x)) (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (* z (* (cos y) (pow (sin y) 2))))) x)) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (+ (* -1 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) x)))) x)) (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (* z (* (cos y) (pow (sin y) 2))))) x)) (* -1 (pow (sin y) 3))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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 (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(pow z 4) |
(+ (* 4 (* x (* y (pow z 3)))) (pow z 4)) |
(+ (* y (+ (* 4 (* x (pow z 3))) (* y (+ (* 2 (* (pow z 2) (+ (* -1 (pow z 2)) (pow x 2)))) (* 4 (* (pow x 2) (pow z 2))))))) (pow z 4)) |
(+ (* y (+ (* 4 (* x (pow z 3))) (* y (+ (* 2 (* (pow z 2) (+ (* -1 (pow z 2)) (pow x 2)))) (+ (* 4 (* (pow x 2) (pow z 2))) (* y (+ (* 2 (* (pow z 2) (+ (* -1 (* x z)) (* -1/3 (* x z))))) (* 4 (* x (* z (+ (* -1 (pow z 2)) (pow x 2)))))))))))) (pow z 4)) |
(pow z 2) |
(+ (* 2 (* x (* y z))) (pow z 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow z 2)) (pow x 2))))) (pow z 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow z 2)) (+ (* y (+ (* -1 (* x z)) (* -1/3 (* x z)))) (pow x 2)))))) (pow z 2)) |
(pow z 3) |
(+ (* y (+ (* 2 (* x (pow z 2))) (* x (pow z 2)))) (pow z 3)) |
(+ (* y (+ (* 2 (* x (pow z 2))) (+ (* x (pow z 2)) (* y (+ (* -1/2 (pow z 3)) (+ (* 2 (* (pow x 2) z)) (* z (+ (* -1 (pow z 2)) (pow x 2))))))))) (pow z 3)) |
(+ (* y (+ (* 2 (* x (pow z 2))) (+ (* x (pow z 2)) (* y (+ (* -1/2 (pow z 3)) (+ (* 2 (* (pow x 2) z)) (+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1/6 (* x (pow z 2))) (+ (* x (+ (* -1 (pow z 2)) (pow x 2))) (* z (+ (* -1 (* x z)) (* -1/3 (* x z)))))))) (* z (+ (* -1 (pow z 2)) (pow x 2)))))))))) (pow z 3)) |
(sin y) |
(cos y) |
(* y (+ x (/ z y))) |
(pow (sin y) 2) |
(pow (+ (* x (sin y)) (* z (cos y))) 4) |
(pow (+ (* x (sin y)) (* z (cos y))) 2) |
(pow (+ (* x (sin y)) (* z (cos y))) 3) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* 4 (* (pow x 3) (* z (* (cos y) (pow (sin y) 3))))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* z (+ (* 4 (* (pow x 3) (* (cos y) (pow (sin y) 3)))) (* z (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))))))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* z (+ (* 4 (* (pow x 3) (* (cos y) (pow (sin y) 3)))) (* z (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* x (* z (* (pow (cos y) 3) (sin y))))) (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))))))))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* z (+ (* 2 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* z (+ (* 2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (* (pow x 2) (* (cos y) (pow (sin y) 2))))) (* (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (+ (* z (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y))))) (* (pow x 2) (* (cos y) (pow (sin y) 2)))))) (* (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (+ (* z (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (+ (* x (* (pow (cos y) 2) (sin y))) (* z (pow (cos y) 3))))) (* (pow x 2) (* (cos y) (pow (sin y) 2)))))) (* (pow x 3) (pow (sin y) 3))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 4) (+ (* 4 (/ (* x (* (pow (cos y) 3) (sin y))) z)) (pow (cos y) 4))) |
(* (pow z 4) (+ (* 2 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (+ (* 4 (/ (* x (* (pow (cos y) 3) (sin y))) z)) (+ (* 4 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (pow (cos y) 4))))) |
(* (pow z 4) (+ (* 2 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (+ (* 4 (/ (* x (* (pow (cos y) 3) (sin y))) z)) (+ (* 4 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (+ (* 4 (/ (* (pow x 3) (* (cos y) (pow (sin y) 3))) (pow z 3))) (pow (cos y) 4)))))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))) |
(* (pow z 3) (+ (* 2 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (pow (cos y) 3)))) |
(* (pow z 3) (+ (* 2 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (+ (* 2 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2))) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (+ (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2)) (pow (cos y) 3)))))) |
(* (pow z 3) (+ (* 2 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (+ (* 2 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2))) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (+ (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2)) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3))))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* (pow z 4) (+ (* -1 (/ (+ (* -4 (* x (* (pow (cos y) 3) (sin y)))) (* -1 (/ (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))))) z))) z)) (pow (cos y) 4))) |
(* (pow z 4) (+ (* -1 (/ (+ (* -4 (* x (* (pow (cos y) 3) (sin y)))) (* -1 (/ (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (/ (* (pow x 3) (* (cos y) (pow (sin y) 3))) z)))) z))) z)) (pow (cos y) 4))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* (cos y) (sin y)))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) z))) z)) (pow (cos y) 2))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (* -1 (* (pow x 2) (* (cos y) (pow (sin y) 2))))) z)) (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y))))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (+ (* -1 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) z)))) z)) (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y))))) z)) (* -1 (pow (cos y) 3))))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* (sqrt x) (sin y)) |
(*.f64 (sqrt.f64 x) (sin.f64 y)) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* (pow z 4) (pow (cos y) 4)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) |
(+ (* 4 (* x (* (pow z 3) (* (pow (cos y) 3) (sin y))))) (* (pow z 4) (pow (cos y) 4))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(+ (* x (+ (* 4 (* (pow z 3) (* (pow (cos y) 3) (sin y)))) (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))))))) (* (pow z 4) (pow (cos y) 4))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) #s(literal 6 binary64)) x (*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (sin.f64 y)) #s(literal 4 binary64))) x (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(+ (* x (+ (* 4 (* (pow z 3) (* (pow (cos y) 3) (sin y)))) (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* x (* z (* (cos y) (pow (sin y) 3))))) (* 4 (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))))))))) (* (pow z 4) (pow (cos y) 4))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 z x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))))) x (*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (sin.f64 y)) #s(literal 4 binary64))) x (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(* (pow z 2) (pow (cos y) 2)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))) |
(+ (* x (+ (* 2 (* z (* (cos y) (sin y)))) (* x (pow (sin y) 2)))) (* (pow z 2) (pow (cos y) 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (cos.f64 y) (sin.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) x (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))) |
(* (pow z 3) (pow (cos y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
(+ (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (* (pow z 2) (* (pow (cos y) 2) (sin y))))) (* (pow z 3) (pow (cos y) 3))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z))) x (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) |
(+ (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (+ (* x (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (* z (* (cos y) (pow (sin y) 2))))) (* (pow z 2) (* (pow (cos y) 2) (sin y)))))) (* (pow z 3) (pow (cos y) 3))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z)))) x (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) |
(+ (* x (+ (* 2 (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (+ (* x (+ (* 2 (* z (* (cos y) (pow (sin y) 2)))) (+ (* x (pow (sin y) 3)) (* z (* (cos y) (pow (sin y) 2)))))) (* (pow z 2) (* (pow (cos y) 2) (sin y)))))) (* (pow z 3) (pow (cos y) 3))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) z (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x))) x (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z)))) x (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* (pow x 4) (pow (sin y) 4)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 4 (/ (* z (* (cos y) (pow (sin y) 3))) x)) (pow (sin y) 4))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) #s(literal 4 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (+ (* 4 (/ (* z (* (cos y) (pow (sin y) 3))) x)) (+ (* 4 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (pow (sin y) 4))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (*.f64 x x)) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (*.f64 x x)) #s(literal 4 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 2 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (+ (* 4 (/ (* z (* (cos y) (pow (sin y) 3))) x)) (+ (* 4 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow x 2))) (+ (* 4 (/ (* (pow z 3) (* (pow (cos y) 3) (sin y))) (pow x 3))) (pow (sin y) 4)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (*.f64 x x)) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (*.f64 x x)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (sin.f64 y)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal 2 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) x) #s(literal 2 binary64) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(* (pow x 3) (pow (sin y) 3)) |
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(+ (* z (+ (* 4 (* (pow x 3) (* (cos y) (pow (sin y) 3)))) (* z (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))))))) (* (pow x 4) (pow (sin y) 4))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (cos.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 6 binary64)) z)) z (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* z (+ (* 4 (* (pow x 3) (* (cos y) (pow (sin y) 3)))) (* z (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* x (* z (* (pow (cos y) 3) (sin y))))) (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))))))))) (* (pow x 4) (pow (sin y) 4))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (cos.f64 y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 z x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (sin.f64 y)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) z)) z (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(+ (* z (+ (* 2 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (pow (sin y) 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (cos.f64 y) (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) z (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(+ (* z (+ (* 2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (* (pow x 2) (* (cos y) (pow (sin y) 2))))) (* (pow x 3) (pow (sin y) 3))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)))) z (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(+ (* z (+ (* 2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (+ (* z (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y))))) (* (pow x 2) (* (cos y) (pow (sin y) 2)))))) (* (pow x 3) (pow (sin y) 3))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (fma.f64 (*.f64 (*.f64 x x) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y))) z))) z (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(+ (* z (+ (* 2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (+ (* z (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (+ (* x (* (pow (cos y) 2) (sin y))) (* z (pow (cos y) 3))))) (* (pow x 2) (* (cos y) (pow (sin y) 2)))))) (* (pow x 3) (pow (sin y) 3))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (fma.f64 (*.f64 (*.f64 x x) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z)) z))) z (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z) |
(* (pow z 4) (+ (* 4 (/ (* x (* (pow (cos y) 3) (sin y))) z)) (pow (cos y) 4))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (sin.f64 y)) z) #s(literal 4 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) |
(* (pow z 4) (+ (* 2 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (+ (* 4 (/ (* x (* (pow (cos y) 3) (sin y))) z)) (+ (* 4 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (pow (cos y) 4))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (sin.f64 y)) z) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) #s(literal 4 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (pow.f64 z #s(literal 4 binary64))) |
(* (pow z 4) (+ (* 2 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (+ (* 4 (/ (* x (* (pow (cos y) 3) (sin y))) z)) (+ (* 4 (/ (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))) (pow z 2))) (+ (* 4 (/ (* (pow x 3) (* (cos y) (pow (sin y) 3))) (pow z 3))) (pow (cos y) 4)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (sin.f64 y)) z) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (cos.f64 y))) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (pow.f64 z #s(literal 4 binary64))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (sin.f64 y)) z) #s(literal 2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (sin.f64 y)) z) #s(literal 2 binary64) (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) |
(* (pow z 3) (+ (* 2 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (pow (cos y) 3)))) |
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y))) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ (* 2 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (+ (* 2 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2))) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (+ (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2)) (pow (cos y) 3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) z) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) (*.f64 z z)) #s(literal 2 binary64) (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) z) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ (* 2 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (+ (* 2 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2))) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (+ (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2)) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) z) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) (*.f64 z z)) #s(literal 2 binary64) (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) z) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (*.f64 z z)) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1 binary64) #s(literal -1 binary64)) z)) |
(* (pow z 4) (+ (* -1 (/ (+ (* -4 (* x (* (pow (cos y) 3) (sin y)))) (* -1 (/ (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2))))) z))) z)) (pow (cos y) 4))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (sin.f64 y)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 6 binary64)) z))) z) #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) |
(* (pow z 4) (+ (* -1 (/ (+ (* -4 (* x (* (pow (cos y) 3) (sin y)))) (* -1 (/ (+ (* 2 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (+ (* 4 (* (pow x 2) (* (pow (cos y) 2) (pow (sin y) 2)))) (* 4 (/ (* (pow x 3) (* (cos y) (pow (sin y) 3))) z)))) z))) z)) (pow (cos y) 4))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (sin.f64 y)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 6 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (cos.f64 y))) z)) z))) z) #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* (cos y) (sin y)))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) z))) z)) (pow (cos y) 2))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (cos.f64 y) (sin.f64 y)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))) z) #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y))) z) #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (* -1 (* (pow x 2) (* (cos y) (pow (sin y) 2))))) z)) (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y))))) z)) (* -1 (pow (cos y) 3))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) #s(literal -3 binary64)) z))) z) #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (+ (* -1 (* (pow x 2) (* (cos y) (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) z)))) z)) (+ (* 2 (* x (* (pow (cos y) 2) (sin y)))) (* x (* (pow (cos y) 2) (sin y))))) z)) (* -1 (pow (cos y) 3))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) #s(literal -3 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) z))) z))) z) #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 153 |
| 0 | 54 | 129 |
| 1 | 210 | 127 |
| 2 | 1378 | 127 |
| 0 | 8508 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x (sin.f64 y)) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
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(/.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -3 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (cos.f64 y)))) |
(fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (sin.f64 y)))) |
(fma.f64 (*.f64 x (sin.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) |
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) |
(fabs.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 4 binary64)) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(exp.f64 (-.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64))) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 3/2 binary64) (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(exp.f64 (+.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 4 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (sinh.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (cos.f64 y)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (cos.f64 y))) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (sin.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64))))) |
Compiled 45 515 to 4 121 computations (90.9% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 250 | 19 | 1 269 |
| Fresh | 8 | 6 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 261 | 27 | 1 288 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 40.3% | (fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 79.6% | (fma.f64 (sqrt.f64 (fabs.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))) (sqrt.f64 (fabs.f64 x)) (*.f64 (cos.f64 y) z)) | |
| ✓ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 61.9% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 79.8% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) | |
| 38.8% | (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 15.8% | (/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) 3) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) | |
| ▶ | 47.1% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) |
| 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 52.6% | (+.f64 (*.f64 x (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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)))))))) | |
| 53.0% | (+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 53.4% | (+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 52.9% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 53.3% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 99.6% | (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) | |
| 56.1% | (*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 53.2% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 53.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| 89.5% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) | |
| 92.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) | |
| 59.0% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) | |
| ✓ | 54.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 54.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| 52.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z))) | |
| ▶ | 18.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Compiled 1 070 to 729 computations (31.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) | |
| cost-diff | 20992 | (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (sin.f64 y)) | |
| cost-diff | 1600 | (fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) | |
| cost-diff | 128 | (+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 261 |
| 0 | 67 | 247 |
| 1 | 133 | 247 |
| 2 | 326 | 241 |
| 3 | 1152 | 237 |
| 4 | 3598 | 237 |
| 0 | 8172 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
x |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 (sqrt.f64 x) (sin.f64 y)) |
(sqrt.f64 x) |
x |
(sin.f64 y) |
y |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) |
(-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x)) |
(*.f64 (neg.f64 (sin.f64 y)) x) |
(neg.f64 (sin.f64 y)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x) |
x |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) |
(*.f64 (sqrt.f64 x) (sin.f64 y)) |
(sqrt.f64 x) |
x |
(sin.f64 y) |
y |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) |
(-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x)) |
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 (neg.f64 (sin.f64 y)) x) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 (sin.f64 y)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 1.3984292433208234 | (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) | |
| accuracy | 15.05476386705605 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 15.12381053970314 | (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) | |
| accuracy | 0.05078125 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| accuracy | 0.17578125 | (*.f64 (sqrt.f64 x) (sin.f64 y)) | |
| accuracy | 15.05476386705605 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.05078125 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.06640625 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 15.05476386705605 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 16.144571071725558 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 15.69708631641681 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| accuracy | 15.823800936346657 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0390625 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.04296875 | (*.f64 (sin.f64 y) x) |
| 65.0ms | 131× | 0 | valid |
| 34.0ms | 125× | 0 | invalid |
Compiled 463 to 74 computations (84% saved)
ival-mult: 17.0ms (34% of total)ival-add: 7.0ms (14% of total)ival-cos: 7.0ms (14% of total)ival-sin: 5.0ms (10% of total)ival-pow2: 5.0ms (10% of total)const: 4.0ms (8% of total)ival-div: 2.0ms (4% of total)ival-sqrt: 2.0ms (4% of total)ival-sub: 1.0ms (2% of total)ival-neg: 1.0ms (2% 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) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 (sqrt.f64 x) (sin.f64 y)) |
(sqrt.f64 x) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) |
(-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
z |
(+ z (* x y)) |
(* x y) |
(* (sqrt x) (sin y)) |
(sqrt x) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ y (/ z x))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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 (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ 1 (* -1/6 (pow y 2))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(pow z 2) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(cos y) |
(sin y) |
(* y (+ x (/ z y))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y)))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | 0 | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (+ (* (* y y) -1/6) 1) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (sqrt x) (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (pow (* (cos y) z) 2) (* (cos y) z) (cos y) (* z (cos y)) (pow (* x (sin y)) 2)) |
| 4.0ms | y | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (+ (* (* y y) -1/6) 1) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (sqrt x) (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (pow (* (cos y) z) 2) (* (cos y) z) (cos y) (* z (cos y)) (pow (* x (sin y)) 2)) |
| 3.0ms | x | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (+ (* (* y y) -1/6) 1) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (sqrt x) (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (pow (* (cos y) z) 2) (* (cos y) z) (cos y) (* z (cos y)) (pow (* x (sin y)) 2)) |
| 3.0ms | y | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (+ (* (* y y) -1/6) 1) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (sqrt x) (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (pow (* (cos y) z) 2) (* (cos y) z) (cos y) (* z (cos y)) (pow (* x (sin y)) 2)) |
| 3.0ms | x | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (+ (* (* y y) -1/6) 1) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (sqrt x) (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (pow (* (cos y) z) 2) (* (cos y) z) (cos y) (* z (cos y)) (pow (* x (sin y)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 269 | 974 |
| 0 | 998 | 902 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
z |
(+ z (* x y)) |
(* x y) |
(* (sqrt x) (sin y)) |
(sqrt x) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ y (/ z x))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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 (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ 1 (* -1/6 (pow y 2))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(pow z 2) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(cos y) |
(sin y) |
(* y (+ x (/ z y))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y)))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(* (sqrt x) (sin y)) |
(*.f64 (sqrt.f64 x) (sin.f64 y)) |
(sqrt x) |
(sqrt.f64 x) |
(* (pow z 2) (pow (cos y) 2)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z) (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 z x) y))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sin.f64 y) (neg.f64 (/.f64 (*.f64 (cos.f64 y) z) x)))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sin.f64 y)) (sqrt.f64 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (sqrt.f64 x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x)) y) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (sqrt.f64 x)) (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 x))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x)) y) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (*.f64 #s(literal 1 binary64) x)) y z) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 y) (fma.f64 x #s(literal -1/3 binary64) (neg.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) z)))) (neg.f64 z)) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (*.f64 #s(literal 1 binary64) x)) y z) |
(pow z 2) |
(*.f64 z z) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(fma.f64 (-.f64 (neg.f64 (*.f64 z z)) (*.f64 x x)) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 z z) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 y y) (neg.f64 (*.f64 z z))) (*.f64 x x)) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 z z) (*.f64 #s(literal -2/45 binary64) (*.f64 x x))) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 z z))) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (neg.f64 (*.f64 z z))) (*.f64 x x)) (*.f64 y y) (*.f64 z z)) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(fma.f64 z z (neg.f64 (*.f64 (*.f64 y y) (*.f64 z z)))) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 z z) (neg.f64 (*.f64 z z))) (*.f64 y y) (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 #s(literal 1/3 binary64) (*.f64 z z))) (*.f64 y y) (neg.f64 (*.f64 z z))) (*.f64 y y) (*.f64 z z)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 y y)) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (*.f64 x x)) (*.f64 y y)) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/315 binary64) (*.f64 x x)) (*.f64 y y) (*.f64 #s(literal 2/45 binary64) (*.f64 x x))) (*.f64 y y) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (*.f64 x x)) (*.f64 y y)) |
(cos y) |
(cos.f64 y) |
(sin y) |
(sin.f64 y) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)) |
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y)))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z) (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z) (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 z y) x))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 z z)) #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 190 |
| 0 | 67 | 176 |
| 1 | 269 | 176 |
| 2 | 1834 | 170 |
| 0 | 9551 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 (sqrt.f64 x) (sin.f64 y)) |
(sqrt.f64 x) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) |
(-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 z) (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) (neg.f64 (*.f64 (neg.f64 z) (cos.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 x) (sin.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 x) (sin.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
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(*.f64 (pow.f64 (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(approx (cos y) #s(literal 1 binary64))) z) |
(*.f64 (*.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) z) #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z)) (neg.f64 (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z))) |
(*.f64 (fabs.f64 z) (fabs.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(*.f64 (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z) (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z)) |
(*.f64 (*.f64 z z) (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) (pow.f64 (*.f64 z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(*.f64 z (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(literal 1 binary64))) |
(*.f64 z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(pow.f64 (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))))))) |
(sqrt.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) (neg.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) (fabs.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(*.f64 (fabs.f64 #s(approx (cos y) #s(literal 1 binary64))) (fabs.f64 z)) |
(*.f64 (exp.f64 (log.f64 #s(approx (cos y) #s(literal 1 binary64)))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(approx (cos y) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(*.f64 (fabs.f64 z) (fabs.f64 #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z)) |
(fabs.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(exp.f64 (log.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) (sinh.f64 (log.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (cos y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) (neg.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) (fabs.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(*.f64 (fabs.f64 #s(approx (cos y) #s(literal 1 binary64))) (fabs.f64 z)) |
(*.f64 (exp.f64 (log.f64 #s(approx (cos y) #s(literal 1 binary64)))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(approx (cos y) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(*.f64 (fabs.f64 z) (fabs.f64 #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64))) z)) |
(fabs.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(exp.f64 (log.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))) (sinh.f64 (log.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (sqrt.f64 x) (sin.f64 y)))) (sqrt.f64 x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 x))) (fabs.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (sin.f64 y)))) x) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) x)) (fabs.f64 (neg.f64 (sin.f64 y)))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (fabs.f64 (sin.f64 y))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) x) |
(*.f64 (fabs.f64 (neg.f64 (sin.f64 y))) (fabs.f64 (*.f64 x (*.f64 (neg.f64 x) (sin.f64 y))))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (sin.f64 y))) (fabs.f64 (*.f64 (sqrt.f64 x) (*.f64 x (sin.f64 y))))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (*.f64 x (*.f64 x (sin.f64 y))))) |
(*.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (sin.f64 y))) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (sqrt.f64 x) (sin.f64 y))) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (sin.f64 y))) x) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) x) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 x (*.f64 (neg.f64 x) (sin.f64 y)))) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (*.f64 (sqrt.f64 x) (*.f64 x (sin.f64 y)))) |
(*.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (*.f64 x (sin.f64 y))))) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (*.f64 x (sin.f64 y)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y))))) |
(*.f64 x (fabs.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 x (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)))) |
(*.f64 x (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 x (pow.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 y) (pow.f64 (*.f64 x (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 x (sin.f64 y)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x (sin.f64 y)))) |
(pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))))) |
(neg.f64 (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
Compiled 34 625 to 2 896 computations (91.6% saved)
33 alts after pruning (28 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 969 | 12 | 981 |
| Fresh | 4 | 16 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 975 | 33 | 1 008 |
| Status | Accuracy | Program |
|---|---|---|
| 40.3% | (fma.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ✓ | 40.3% | (fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 39.0% | (fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 26.3% | (fma.f64 (*.f64 (sqrt.f64 x) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ✓ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 61.9% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| 37.1% | (fma.f64 (fabs.f64 #s(approx (cos y) #s(literal 1 binary64))) (fabs.f64 z) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| ▶ | 26.2% | (fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 26.6% | (fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 53.4% | (fma.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 79.8% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) | |
| 38.8% | (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 20.7% | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 52.6% | (+.f64 (*.f64 x (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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)))))))) |
| 53.4% | (+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 52.9% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 53.3% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 99.6% | (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) | |
| 56.1% | (*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 39.0% | #s(approx (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (*.f64 #s(literal 1 binary64) x)) y z)) | |
| 53.2% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 53.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| 89.5% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) | |
| ▶ | 92.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
| 59.0% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) | |
| ✓ | 54.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 54.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| 52.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z))) | |
| ✓ | 18.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| ▶ | 12.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
Compiled 1 319 to 904 computations (31.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y) | |
| cost-diff | 0 | #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| cost-diff | 640 | (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) | |
| cost-diff | 0 | #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) | |
| cost-diff | 128 | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fabs.f64 (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) | |
| cost-diff | 6720 | (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) | |
| cost-diff | 6720 | (*.f64 #s(literal 0 binary64) (sin.f64 y)) | |
| cost-diff | 13248 | (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) | |
| cost-diff | 20032 | (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 483 |
| 0 | 103 | 352 |
| 1 | 230 | 334 |
| 2 | 578 | 320 |
| 3 | 1908 | 320 |
| 4 | 6635 | 320 |
| 0 | 8097 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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)))))))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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))))))) |
z |
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
#s(literal 0 binary64) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(cos.f64 y) |
(+.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))))) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(*.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)))) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))) |
(fabs.f64 (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) |
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) |
#s(literal -1/6 binary64) |
(sqrt.f64 x) |
x |
(*.f64 y y) |
y |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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))))))) |
(*.f64 (cos.f64 y) z) |
z |
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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)))))) |
(cos.f64 y) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
#s(literal 0 binary64) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(cos.f64 y) |
(+.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))))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
#s(literal 0 binary64) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
#s(literal 0 binary64) |
#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)))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
#s(literal 0 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 y x)))) |
#s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))) |
#s(approx (+ (* y x) z) (fabs.f64 (*.f64 y x))) |
(fabs.f64 (*.f64 x y)) |
(fabs.f64 (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y))) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) |
#s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(sqrt.f64 x) |
x |
(*.f64 y y) |
y |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) | |
| accuracy | 0.03125 | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) | |
| accuracy | 0.0546875 | (/.f64 (sin.f64 y) z) | |
| accuracy | 2.87199180663124 | (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) | |
| accuracy | 0.19140625 | (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) | |
| accuracy | 1.617514626909635 | (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) | |
| accuracy | 15.05476386705605 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 16.128853984438063 | #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) | |
| accuracy | 0.4567655959965056 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| accuracy | 4.090975428150193 | (*.f64 (*.f64 y y) x) | |
| accuracy | 15.05476386705605 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 16.061618303418598 | #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (fabs.f64 (*.f64 x y)) | |
| accuracy | 15.69708631641681 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) | |
| accuracy | 24.20660100507706 | #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))) | |
| accuracy | 0.1015625 | (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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)))))) | |
| accuracy | 0.1484375 | (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 0.1833000488422101 | (pow.f64 (sin.f64 y) #s(literal 3 binary64)) | |
| accuracy | 0.1833000488422101 | (pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
| 63.0ms | 125× | 0 | invalid |
| 62.0ms | 131× | 0 | valid |
Compiled 892 to 114 computations (87.2% saved)
ival-mult: 41.0ms (43.4% of total)ival-add: 11.0ms (11.6% of total)ival-sin: 8.0ms (8.5% of total)ival-pow: 7.0ms (7.4% of total)const: 6.0ms (6.4% of total)ival-cos: 5.0ms (5.3% of total)ival-fabs: 4.0ms (4.2% of total)ival-pow2: 4.0ms (4.2% of total)ival-div: 3.0ms (3.2% of total)ival-sqrt: 2.0ms (2.1% of total)ival-sub: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(*.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))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))) |
(fabs.f64 (*.f64 x y)) |
(*.f64 x y) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(fabs (* x y)) |
(* x y) |
(* x (sin y)) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))) |
(* (sqrt x) (sin y)) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(* x (pow y 2)) |
(* -1/6 (sqrt x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ y (/ z x))) |
(* x (+ (sqrt (/ 1 x)) (* -1/6 (* (sqrt (/ 1 x)) (pow y 2))))) |
(* x (* y (+ (sqrt (/ 1 x)) (* -1/6 (* (sqrt (/ 1 x)) (pow y 2)))))) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (+ (* -1/6 (* (sqrt (/ 1 x)) (* (pow y 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (* y (+ (* -1/6 (* (sqrt (/ 1 x)) (* (pow y 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* 1/6 (* (sqrt x) (pow (sqrt -1) 2))) |
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))) |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
0 |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(sqrt x) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(pow y 3) |
(* (pow y 3) (+ 1 (* -1/2 (pow y 2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2)))) |
(+ 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))) |
(pow (cos y) 3) |
(* y (+ x (/ z y))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* (sqrt x) (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (sqrt x)) (* (sqrt x) (/ 1 (pow y 2))))) |
(* -1/6 (* (sqrt x) (pow y 3))) |
(* (pow y 3) (+ (* -1/6 (sqrt x)) (* (sqrt x) (/ 1 (pow y 2))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (sin y) z) |
(pow (sin y) 3) |
(pow (cos y) 2) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (* (sqrt x) (/ 1 (pow y 2)))) (* 1/6 (sqrt x))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | ((/ (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (fabs (* x y)) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* (* (* y y) x) -1/6) x) (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (* (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (pow (cos y) 3) (pow (sin y) 3) (pow (* 1 (cos y)) 2) (cos y) (* (* y y) x) (* -1/6 (sqrt x))) |
| 7.0ms | x | @ | -inf | ((/ (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (fabs (* x y)) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* (* (* y y) x) -1/6) x) (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (* (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (pow (cos y) 3) (pow (sin y) 3) (pow (* 1 (cos y)) 2) (cos y) (* (* y y) x) (* -1/6 (sqrt x))) |
| 4.0ms | y | @ | -inf | ((/ (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (fabs (* x y)) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* (* (* y y) x) -1/6) x) (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (* (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (pow (cos y) 3) (pow (sin y) 3) (pow (* 1 (cos y)) 2) (cos y) (* (* y y) x) (* -1/6 (sqrt x))) |
| 4.0ms | y | @ | inf | ((/ (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (fabs (* x y)) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* (* (* y y) x) -1/6) x) (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (* (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (pow (cos y) 3) (pow (sin y) 3) (pow (* 1 (cos y)) 2) (cos y) (* (* y y) x) (* -1/6 (sqrt x))) |
| 3.0ms | x | @ | inf | ((/ (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* 0 (pow (sin y) 3)) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (fabs (* x y)) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* (* (* y y) x) -1/6) x) (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (+ (* (* (sqrt x) (sin y)) (sqrt x)) (* (cos y) z)) (* (sqrt x) (sin y)) (* (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (pow (cos y) 3) (pow (sin y) 3) (pow (* 1 (cos y)) 2) (cos y) (* (* y y) x) (* -1/6 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 282 | 978 |
| 0 | 1037 | 902 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(fabs (* x y)) |
(* x y) |
(* x (sin y)) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))) |
(* (sqrt x) (sin y)) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(* x (pow y 2)) |
(* -1/6 (sqrt x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ y (/ z x))) |
(* x (+ (sqrt (/ 1 x)) (* -1/6 (* (sqrt (/ 1 x)) (pow y 2))))) |
(* x (* y (+ (sqrt (/ 1 x)) (* -1/6 (* (sqrt (/ 1 x)) (pow y 2)))))) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (+ (* -1/6 (* (sqrt (/ 1 x)) (* (pow y 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* x (* y (+ (* -1/6 (* (sqrt (/ 1 x)) (* (pow y 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* 1/6 (* (sqrt x) (pow (sqrt -1) 2))) |
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))) |
(+ 1 (* -3/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
0 |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(sqrt x) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(pow y 3) |
(* (pow y 3) (+ 1 (* -1/2 (pow y 2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2)))) |
(+ 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))) |
(pow (cos y) 3) |
(* y (+ x (/ z y))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* (sqrt x) (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (sqrt x)) (* (sqrt x) (/ 1 (pow y 2))))) |
(* -1/6 (* (sqrt x) (pow y 3))) |
(* (pow y 3) (+ (* -1/6 (sqrt x)) (* (sqrt x) (/ 1 (pow y 2))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (sin y) z) |
(pow (sin y) 3) |
(pow (cos y) 2) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (* (sqrt x) (/ 1 (pow y 2)))) (* 1/6 (sqrt x))))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(fabs (* x y)) |
(fabs.f64 (*.f64 x y)) |
(* x y) |
(*.f64 x y) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) |
(* (sqrt x) (sin y)) |
(*.f64 (sqrt.f64 x) (sin.f64 y)) |
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* -1/6 (sqrt x)) |
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x (+ (sqrt (/ 1 x)) (* -1/6 (* (sqrt (/ 1 x)) (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (* y (+ (sqrt (/ 1 x)) (* -1/6 (* (sqrt (/ 1 x)) (pow y 2)))))) |
(*.f64 (*.f64 x y) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 z x) y))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y)) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1/6 (* (sqrt (/ 1 x)) (* (pow y 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/6 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sin.f64 y) (neg.f64 (/.f64 (*.f64 (cos.f64 y) z) x)))) |
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2)))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sin.f64 y)) (sqrt.f64 x))) |
(* -1 (* x (* y (+ (* -1/6 (* (sqrt (/ 1 x)) (* (pow y 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 x) (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/6 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y)) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) z) (neg.f64 (/.f64 (cos.f64 y) x)))) |
(* 1/6 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -3/2 (pow y 2))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2))) |
(fma.f64 (fma.f64 #s(literal 7/8 binary64) (*.f64 y y) #s(literal -3/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/240 binary64) (*.f64 y y) #s(literal 7/8 binary64)) (*.f64 y y) #s(literal -3/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
0 |
#s(literal 0 binary64) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (sqrt.f64 x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x)) y) |
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (sqrt.f64 x)) (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 x))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x)) y) |
(+ 1 (/ (* x y) z)) |
(fma.f64 x (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) z)) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 13/120 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -41/3024 binary64) (*.f64 y y) #s(literal 13/120 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(pow (cos y) 3) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(* y (+ x (/ z y))) |
(*.f64 (+.f64 (/.f64 z y) x) y) |
(* -1/6 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64)) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) (*.f64 y y)) |
(* -1/6 (* (sqrt x) (pow y 2))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1/6 (sqrt x)) (* (sqrt x) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (sqrt.f64 x) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (*.f64 y y)) |
(* -1/6 (* (sqrt x) (pow y 3))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/6 (sqrt x)) (* (sqrt x) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (sqrt.f64 x) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (pow.f64 y #s(literal 3 binary64))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(pow (sin y) 3) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 z y) x))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (neg.f64 x) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (* (pow y 3) (+ (* -1 (* (sqrt x) (/ 1 (pow y 2)))) (* 1/6 (sqrt x))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (sqrt.f64 x)))) (pow.f64 y #s(literal 3 binary64)))) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1 binary64) #s(literal -1 binary64)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 289 |
| 0 | 96 | 249 |
| 1 | 417 | 240 |
| 2 | 2784 | 231 |
| 0 | 8514 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(*.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))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))) |
(fabs.f64 (*.f64 x y)) |
(*.f64 x y) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(pow.f64 (cos.f64 y) #s(literal 3 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (fabs.f64 (sqrt.f64 (cos.f64 y))) (fabs.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -7 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal -6 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
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(/.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 (pow.f64 (cos.f64 y) #s(literal 8 binary64)) #s(literal 0 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) y y)) (cos.f64 (-.f64 (neg.f64 y) 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) (fma.f64 (PI.f64) #s(literal 1/2 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 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (fabs.f64 (pow.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (fabs.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (cos.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) y)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) y) (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) y))))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) y)))) #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fabs.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) #s(literal 0 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 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.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 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) y (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) y) (*.f64 (PI.f64) #s(literal 1/2 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 #s(literal 2 binary64) (+.f64 y (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y y))) |
(sqrt.f64 (*.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (*.f64 (neg.f64 y) x)))) |
(fabs.f64 (*.f64 (neg.f64 y) (*.f64 x y))) |
(fabs.f64 (*.f64 y (neg.f64 (*.f64 (neg.f64 y) x)))) |
(fabs.f64 (*.f64 y (*.f64 (neg.f64 y) x))) |
(fabs.f64 (*.f64 (neg.f64 (*.f64 y y)) (neg.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (*.f64 y y)) x)) |
(fabs.f64 (*.f64 (*.f64 y y) (neg.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 y))) |
(fabs.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) y)) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 y) x) y)) |
(fabs.f64 (*.f64 (*.f64 x y) (neg.f64 y))) |
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))) |
(fabs.f64 (*.f64 (neg.f64 x) (*.f64 y y))) |
(fabs.f64 (*.f64 x (neg.f64 (*.f64 y y)))) |
(fabs.f64 (*.f64 (*.f64 y y) x)) |
(*.f64 (sqrt.f64 x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) |
Compiled 33 469 to 4 264 computations (87.3% saved)
44 alts after pruning (37 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 828 | 20 | 848 |
| Fresh | 6 | 17 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 837 | 44 | 881 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 40.3% | (fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 39.0% | (fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| ✓ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 61.9% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| 37.1% | (fma.f64 (fabs.f64 #s(approx (cos y) #s(literal 1 binary64))) (fabs.f64 z) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 19.1% | (fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 #s(approx (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y))) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 79.8% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) | |
| 53.3% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y))) | |
| 38.8% | (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 20.7% | (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 52.6% | (+.f64 (*.f64 x (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 99.7% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) | |
| 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal -1 binary64))))) | |
| 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) | |
| 53.4% | (+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 52.9% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 53.3% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 53.1% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 56.1% | (*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 39.0% | #s(approx (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (*.f64 #s(literal 1 binary64) x)) y z)) | |
| 53.2% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 53.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| 92.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (cos.f64 y) z (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))) | |
| 78.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))) | |
| 72.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) | |
| 92.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (*.f64 x (sin.f64 y)) (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) z)) | |
| 89.0% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (cos.f64 y)) z)) | |
| 89.5% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) | |
| ✓ | 92.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
| 59.0% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) | |
| 47.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| 48.0% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| 52.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) | |
| 36.0% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) | |
| ✓ | 54.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 54.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| 8.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) | |
| 4.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) x)) (sqrt.f64 y)))) | |
| 2.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x))))) | |
| 10.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))))) | |
| ✓ | 18.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| ✓ | 12.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
Compiled 2 597 to 1 023 computations (60.6% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 #s(approx (cos y) #s(literal 1 binary64))) (fabs.f64 z) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) x)) (sqrt.f64 y)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 #s(approx (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y))) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (*.f64 #s(literal 1 binary64) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (cos.f64 y) z (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (cos.f64 y)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (*.f64 x (sin.f64 y)) (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (fabs.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))) (sqrt.f64 (fabs.f64 x)) (*.f64 (cos.f64 y) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (neg.f64 (sin.f64 y)) x))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))))) |
(/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) 3) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) |
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 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)))))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
4 calls:
| 34.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 21.0ms | x |
| 21.0ms | z |
| 20.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 #s(approx (cos y) #s(literal 1 binary64))) (fabs.f64 z) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) x)) (sqrt.f64 y)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 #s(approx (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y))) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (*.f64 #s(literal 1 binary64) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
4 calls:
| 29.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.0ms | z |
| 14.0ms | x |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 #s(approx (cos y) #s(literal 1 binary64))) (fabs.f64 z) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) x)) (sqrt.f64 y)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 #s(approx (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y))) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (*.f64 #s(literal 1 binary64) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 17.0ms | x |
| 14.0ms | z |
| 11.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 3 | x |
| 79.8% | 1 | y |
| 88.3% | 3 | z |
| 79.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 #s(approx (cos y) #s(literal 1 binary64))) (fabs.f64 z) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) x)) (sqrt.f64 y)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 #s(approx (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y))) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (*.f64 #s(literal 1 binary64) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 11.0ms | z |
| 10.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 3 | y |
| 65.0% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 66.4% | 3 | x |
| 68.0% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 #s(approx (cos y) #s(literal 1 binary64))) (fabs.f64 z) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) x)) (sqrt.f64 y)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x))))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 #s(approx (+ (* (* -1/6 (sqrt x)) (* y y)) (sqrt x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y))) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 #s(approx (* (sqrt x) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) (*.f64 y y) (sqrt.f64 x)) y)) (sqrt.f64 x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ (- (pow (* (cos y) z) 2) (pow (* x (sin y)) 2)) (+ (* (cos y) z) (* (neg (sin y)) x))) (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (*.f64 #s(literal 1 binary64) x)) y z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 12.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | y |
| 8.0ms | z |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 54.1% | 1 | x |
| 54.1% | 1 | z |
| 54.1% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.0% | 1 | y |
| 18.0% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 18.0% | 1 | x |
| 18.0% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.106819466540254e+69 | 4.803746306962512e+70 |
| 21.0ms | -1.9297146811694777e+156 | -9.794037829043015e+146 |
| 23.0ms | 240× | 0 | valid |
Compiled 372 to 344 computations (7.5% saved)
ival-sin: 8.0ms (46.1% of total)ival-cos: 4.0ms (23.1% of total)ival-mult: 3.0ms (17.3% of total)ival-add: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 25921.675721941636 | 59689237.82717742 |
| 19.0ms | -3417842175562418.5 | -3119382615237.549 |
| 28.0ms | 256× | 0 | valid |
Compiled 620 to 478 computations (22.9% saved)
ival-sin: 9.0ms (42.2% of total)ival-cos: 8.0ms (37.6% of total)ival-mult: 3.0ms (14.1% of total)ival-add: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 155 |
| 1 | 53 | 155 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -13999999999999998982145911984278638389033503311919787051083654133360651905564732256633909893685487697343307795157787091631588046174921661317709299712 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 16000000000000001160502982104467762018533990554344351288291362487664640 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -3200000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 26000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -13999999999999998982145911984278638389033503311919787051083654133360651905564732256633909893685487697343307795157787091631588046174921661317709299712 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 16000000000000001160502982104467762018533990554344351288291362487664640 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -13999999999999998982145911984278638389033503311919787051083654133360651905564732256633909893685487697343307795157787091631588046174921661317709299712 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 16000000000000001160502982104467762018533990554344351288291362487664640 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -3200000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 26000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -3200000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 26000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 615 | 2894 |
| 0 | 2475 | 2712 |
| 0 | 32 | 153 |
| 0 | 54 | 129 |
| 1 | 210 | 127 |
| 2 | 1378 | 127 |
| 0 | 8508 | 126 |
| 0 | 109 | 288 |
| 1 | 423 | 284 |
| 2 | 1588 | 274 |
| 3 | 4460 | 272 |
| 0 | 8253 | 237 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 39 | 21 |
| 2 | 285 | 21 |
| 3 | 3153 | 21 |
| 0 | 8581 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 264 to 116 computations (56.1% saved)
Compiled 328 to 104 computations (68.3% saved)
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