
Time bar (total: 11.5s)
| 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)
| 3.7s | 8 256× | 0 | valid |
ival-sin: 265.0ms (40.7% of total)ival-cos: 210.0ms (32.2% of total)ival-mult: 126.0ms (19.3% of total)ival-add: 40.0ms (6.1% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 58.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 19.0ms (46% of total)ival-sin: 12.0ms (29.1% of total)ival-mult: 7.0ms (17% of total)ival-add: 2.0ms (4.8% 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 | 87 |
| 1 | 94 | 81 |
| 2 | 184 | 81 |
| 3 | 326 | 81 |
| 4 | 624 | 81 |
| 5 | 1442 | 81 |
| 6 | 3589 | 81 |
| 7 | 6683 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 26 | 9 |
| 2 | 47 | 9 |
| 3 | 95 | 9 |
| 4 | 184 | 9 |
| 5 | 446 | 9 |
| 6 | 1146 | 9 |
| 7 | 2599 | 9 |
| 8 | 5270 | 9 |
| 0 | 8211 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 26 | 24 |
| 2 | 47 | 24 |
| 3 | 95 | 24 |
| 4 | 184 | 24 |
| 5 | 446 | 24 |
| 6 | 1146 | 24 |
| 7 | 2599 | 24 |
| 8 | 5270 | 24 |
| 0 | 8211 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.10546875 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.12109375 | (*.f64 z (sin.f64 y)) |
| 30.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (34.3% of total)ival-sin: 6.0ms (34.3% of total)ival-mult: 4.0ms (22.9% of total)ival-add: 1.0ms (5.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | -inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 248 |
| 1 | 361 | 244 |
| 2 | 1343 | 238 |
| 3 | 4829 | 236 |
| 0 | 8461 | 209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (pow.f64 y #s(literal 5 binary64)) (*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))) |
(cos y) |
(cos.f64 y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 39 | 19 |
| 2 | 251 | 19 |
| 3 | 2605 | 19 |
| 0 | 8293 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) |
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(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 y))) (fabs.f64 (fabs.f64 z))) |
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 z))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y)))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z)) |
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(fabs.f64 (*.f64 (sin.f64 y) z)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (sin.f64 y) z))) (sinh.f64 (log.f64 (*.f64 (sin.f64 y) z)))) |
Compiled 7 510 to 762 computations (89.9% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 16 | 286 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 271 | 16 | 287 |
| Status | Accuracy | Program |
|---|---|---|
| 34.2% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| 26.2% | (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| 53.3% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) | |
| 48.6% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) | |
| 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 99.7% | (+.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y))) | |
| 66.1% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ▶ | 75.5% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 49.5% | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
| 50.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| 50.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| ▶ | 51.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ▶ | 83.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) |
| 87.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) | |
| 42.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
Compiled 772 to 420 computations (45.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| cost-diff | 40 | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 1 | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 z y x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 264 |
| 0 | 57 | 262 |
| 1 | 112 | 262 |
| 2 | 257 | 262 |
| 3 | 870 | 222 |
| 4 | 4279 | 222 |
| 0 | 8158 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) |
(/.f64 z x) |
z |
x |
(sin.f64 y) |
y |
(cos.f64 y) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(neg.f64 x) |
x |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
#s(literal 2 binary64) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 z x) |
z |
x |
(sin.f64 y) |
y |
(cos.f64 y) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(neg.f64 x) |
x |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
#s(literal 2 binary64) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.127285009768442 | (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 30.31515027740642 | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| accuracy | 30.335629398567598 | (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) | |
| accuracy | 3.582752132718536 | (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) | |
| accuracy | 7.154865125840667 | (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.10546875 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.12109375 | (*.f64 z (sin.f64 y)) | |
| accuracy | 29.26595400193993 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 z y x) | |
| accuracy | 30.79739640550231 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.05078125 | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) z) |
| 78.0ms | 256× | 0 | valid |
Compiled 260 to 30 computations (88.5% saved)
ival-mult: 19.0ms (37.9% of total)ival-add: 11.0ms (21.9% of total)ival-cos: 7.0ms (14% of total)ival-sin: 6.0ms (12% of total)ival-div: 4.0ms (8% of total)ival-pow2: 3.0ms (6% 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) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) |
(/.f64 z x) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(+ x (* y z)) |
(* x (cos y)) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ z x) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* -1 (* x (cos y))) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(* (pow x 2) (pow (cos y) 2)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* -1 (* x (cos y))) |
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (pow (cos y) 2))) (pow x 3))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2))) |
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (/ (- (* -1 (/ (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (cos y))))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))))) (* x (cos y)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y)))) x)) (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
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)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(pow x 2) |
(+ (* -1 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow z 2)))))) (pow x 2)) |
(* -1 x) |
(+ (* -1 x) (* y z)) |
(+ (* -1 x) (* y (+ z (* 1/2 (* x y))))) |
(+ (* -1 x) (* y (+ z (* y (+ (* -1/6 (* y z)) (* 1/2 x)))))) |
(/ 1 x) |
(+ (* y (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (+ (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (+ (* y (- (+ (* 1/2 (/ 1 x)) (* y (- (* -1/6 (/ z (pow x 2))) (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) x)) (+ (/ (* z (+ (* 1/6 x) (* 1/2 x))) (pow x 3)) (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (pow x 2))))))) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2)) |
(sin y) |
(* y (+ z (/ x y))) |
(+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(/ (+ (* x (cos y)) (* z (sin y))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* -1 (* z (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* z (- (* -1 (* z (+ (/ (* (sin y) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow (sin y) 2) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* (pow x 2) (pow (cos y) 2)))))) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))) |
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))) |
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | y | @ | inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2)) |
| 5.0ms | x | @ | 0 | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2)) |
| 5.0ms | z | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2)) |
| 4.0ms | x | @ | inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2)) |
| 4.0ms | x | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 522 | 2939 |
| 1 | 1926 | 2441 |
| 2 | 7981 | 2441 |
| 0 | 8001 | 2324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(+ x (* y z)) |
(* x (cos y)) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ z x) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* -1 (* x (cos y))) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(* (pow x 2) (pow (cos y) 2)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* -1 (* x (cos y))) |
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (pow (cos y) 2))) (pow x 3))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2))) |
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (/ (- (* -1 (/ (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (cos y))))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))))) (* x (cos y)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y)))) x)) (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
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)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(pow x 2) |
(+ (* -1 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow z 2)))))) (pow x 2)) |
(* -1 x) |
(+ (* -1 x) (* y z)) |
(+ (* -1 x) (* y (+ z (* 1/2 (* x y))))) |
(+ (* -1 x) (* y (+ z (* y (+ (* -1/6 (* y z)) (* 1/2 x)))))) |
(/ 1 x) |
(+ (* y (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (+ (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (+ (* y (- (+ (* 1/2 (/ 1 x)) (* y (- (* -1/6 (/ z (pow x 2))) (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) x)) (+ (/ (* z (+ (* 1/6 x) (* 1/2 x))) (pow x 3)) (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (pow x 2))))))) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2)) |
(sin y) |
(* y (+ z (/ x y))) |
(+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(/ (+ (* x (cos y)) (* z (sin y))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* -1 (* z (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* z (- (* -1 (* z (+ (/ (* (sin y) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow (sin y) 2) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* (pow x 2) (pow (cos y) 2)))))) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))) |
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))) |
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* y z) |
(*.f64 z y) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) x) |
(/ z x) |
(/.f64 z x) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)) |
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) |
(+ (* -1 (* x (cos y))) (* z (sin y))) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (*.f64 (sin.f64 y) z)))) (fma.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) x (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)) (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(* -1 (* x (cos y))) |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
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(+ (* z (- (+ (* z (- (* -1 (* z (+ (/ (* (sin y) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow (sin y) 2) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* (pow x 2) (pow (cos y) 2)))))) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (*.f64 (cos.f64 y) x))) (neg.f64 z)) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))))) z (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(*.f64 (fma.f64 (neg.f64 x) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z)) (fma.f64 (neg.f64 x) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) |
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) x) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 z) z)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z) |
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) x) (neg.f64 (sin.f64 y))) (cos.f64 y) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (sin.f64 y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z))) (neg.f64 z)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (cos.f64 y) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z))) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 x (/.f64 x z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 y) x) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) (/.f64 x (sin.f64 y)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (cos.f64 y)) x) (*.f64 (neg.f64 (sin.f64 y)) z))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) (/.f64 x (sin.f64 y)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (neg.f64 z))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 214 |
| 0 | 57 | 170 |
| 1 | 225 | 170 |
| 2 | 1566 | 170 |
| 0 | 8268 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) |
(/.f64 z x) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))))) |
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(+.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (/.f64 (*.f64 x (cos.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 x (cos.f64 y))) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (*.f64 x (cos.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 x (cos.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 x (cos.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 x (cos.f64 y)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 x))) (fabs.f64 (cos.f64 y))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (cos.f64 y))) (fabs.f64 x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) (fabs.f64 (cos.f64 y))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (fabs.f64 x)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 x)) #s(literal 1 binary64)) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) x) #s(literal 1 binary64)) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 x)) (cos.f64 y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (cos.f64 y)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 x (cos.f64 y)) x) (cos.f64 y)) |
(*.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) x) |
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))))) |
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 y))))) |
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 (*.f64 x (*.f64 x (cos.f64 y))))) |
(*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) |
(*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y))) |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(*.f64 x (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) (pow.f64 (*.f64 x (*.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(*.f64 (cos.f64 y) (*.f64 x (*.f64 x (cos.f64 y)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x (cos.f64 y)))) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))))) |
(neg.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 x (cos.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 x (cos.f64 y)))) |
(fabs.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
Compiled 116 757 to 4 472 computations (96.2% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 406 | 19 | 1 425 |
| Fresh | 7 | 4 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 416 | 25 | 1 441 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.3% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) |
| 48.6% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 75.5% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 73.8% | (fma.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (*.f64 (sin.f64 y) z)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 52.3% | (+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 51.0% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) | |
| 27.3% | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))))) | |
| 23.9% | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))))) | |
| 24.9% | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| ▶ | 50.1% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
| 50.2% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) | |
| 88.7% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| 86.9% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| 42.8% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z)) | |
| ✓ | 51.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ▶ | 58.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) |
| 87.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) | |
| 70.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x)) | |
| 41.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x)) | |
| 43.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) | |
| 59.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) | |
| 49.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) | |
| ▶ | 20.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Compiled 1 278 to 767 computations (40% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sin.f64 y) z)) | |
| cost-diff | 7 | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 212 |
| 0 | 58 | 202 |
| 1 | 103 | 202 |
| 2 | 223 | 202 |
| 3 | 564 | 202 |
| 4 | 1423 | 202 |
| 5 | 3352 | 200 |
| 6 | 5502 | 200 |
| 0 | 8025 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) |
(/.f64 z x) |
z |
x |
(sin.f64 y) |
y |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) |
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) |
(/.f64 z x) |
z |
x |
(sin.f64 y) |
y |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(sqrt.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.046875 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.10546875 | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) | |
| accuracy | 2.5164690015637077 | (sqrt.f64 (*.f64 (sin.f64 y) z)) | |
| accuracy | 0.0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) | |
| accuracy | 2.360839172132956 | (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 3.3695729086619046 | (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x) | |
| accuracy | 12.283314904459695 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 13.528486737864085 | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 13.1174677803279 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| accuracy | 15.147926833721103 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0234375 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.0234375 | (*.f64 (cos.f64 y) x) |
| 51.0ms | 136× | 0 | invalid |
| 35.0ms | 120× | 0 | valid |
Compiled 176 to 33 computations (81.3% saved)
ival-mult: 20.0ms (38.2% of total)ival-add: 12.0ms (22.9% of total)ival-sin: 7.0ms (13.4% of total)ival-cos: 5.0ms (9.6% of total)const: 4.0ms (7.6% of total)ival-div: 2.0ms (3.8% of total)ival-sqrt: 2.0ms (3.8% 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) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) |
(/.f64 z x) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ z x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
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)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z)))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z)))))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y)))))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sin y) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(sqrt (* z (sin y))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | -inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y)) |
| 7.0ms | z | @ | 0 | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y)) |
| 7.0ms | x | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y)) |
| 3.0ms | x | @ | -inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y)) |
| 2.0ms | z | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 1137 |
| 1 | 1158 | 1086 |
| 2 | 4426 | 1073 |
| 0 | 8585 | 975 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ z x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
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)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z)))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z)))))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y)))))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sin y) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(sqrt (* z (sin y))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* y z) |
(*.f64 z y) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x) |
(+ z (* -1/6 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) |
(* -1/6 (* y z)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 z y)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) x) |
(/ z x) |
(/.f64 z x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x)) x x) |
(* -1/2 (* x y)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #s(literal 1 binary64))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) x) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 z x) #s(literal -1/2 binary64)) x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) 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)) (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
z |
(+ z (* -1/2 (* x y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64)) |
(sqrt (* y z)) |
(sqrt.f64 (*.f64 z y)) |
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z)))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) z)) #s(literal -1/12 binary64) (sqrt.f64 (*.f64 z y))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z)))))) |
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 z y))) #s(literal 1/1440 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)) (*.f64 z y)) |
(sin y) |
(sin.f64 y) |
(* y (+ z (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1/6 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) y) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y)) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) |
(sqrt (* z (sin y))) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y)) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)) x) z)) (neg.f64 z)) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 z)) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 179 |
| 0 | 58 | 169 |
| 1 | 209 | 169 |
| 2 | 1355 | 169 |
| 0 | 8318 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) |
(/.f64 z x) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))) |
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 z)) |
(*.f64 (fabs.f64 (sin.f64 y)) z) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z) |
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 z (fabs.f64 (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (sin.f64 y) z) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 z (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 z (sin.f64 y)))) (sinh.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
#s(approx (cos y) #s(literal 1 binary64)) |
Compiled 22 770 to 2 109 computations (90.7% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 599 | 14 | 613 |
| Fresh | 8 | 10 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 609 | 29 | 638 |
| Status | Accuracy | Program |
|---|---|---|
| 53.3% | (fma.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) | |
| 42.1% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 48.6% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) | |
| 47.8% | (fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) x)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 75.5% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 73.8% | (fma.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (*.f64 (sin.f64 y) z)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 52.3% | (+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 27.3% | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))))) | |
| ▶ | 24.9% | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
| ▶ | 86.9% | #s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
| 42.8% | #s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z)) | |
| 50.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) | |
| 51.0% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) | |
| 45.7% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x)) | |
| 34.0% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)) | |
| 33.3% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| ▶ | 33.3% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
| ▶ | 20.0% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
| ✓ | 51.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ✓ | 58.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) |
| ▶ | 87.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) |
| 64.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) | |
| 70.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x)) | |
| 46.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x)) | |
| 43.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) | |
| 59.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) | |
| ✓ | 20.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Compiled 1 521 to 940 computations (38.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) | |
| cost-diff | 0 | (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 459 |
| 0 | 103 | 452 |
| 1 | 188 | 452 |
| 2 | 455 | 452 |
| 3 | 1414 | 452 |
| 4 | 4765 | 448 |
| 0 | 8183 | 426 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z) |
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) |
(/.f64 x z) |
x |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)) |
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 z y) |
z |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(neg.f64 x) |
x |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
#s(literal 2 binary64) |
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 x z) |
x |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) (neg.f64 z)))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) (neg.f64 z))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) (neg.f64 z)) |
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 z y) |
z |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(*.f64 #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(sin.f64 y) |
y |
z |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(neg.f64 x) |
x |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
#s(literal 2 binary64) |
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 0.1015625 | (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) | |
| accuracy | 13.737945989251784 | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| accuracy | 18.25129138825459 | #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) | |
| accuracy | 0.0 | #s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| accuracy | 0.03515625 | (/.f64 (cos.f64 y) z) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) | |
| accuracy | 3.802046689324834 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) | |
| accuracy | 0.09375 | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) | |
| accuracy | 0.4940930955521009 | (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)) | |
| accuracy | 13.528486737864085 | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) | |
| accuracy | 14.54908550127811 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 1.2083514760437624 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| accuracy | 12.608144709554047 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) | |
| accuracy | 13.528486737864085 | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) | |
| accuracy | 3.802046689324834 | (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z) |
| 145.0ms | 120× | 0 | valid |
| 72.0ms | 136× | 0 | invalid |
Compiled 360 to 55 computations (84.7% saved)
ival-mult: 89.0ms (56.9% of total)ival-sin: 24.0ms (15.3% of total)ival-add: 14.0ms (8.9% of total)ival-div: 7.0ms (4.5% of total)ival-cos: 7.0ms (4.5% of total)const: 7.0ms (4.5% of total)ival-pow2: 3.0ms (1.9% of total)ival-sqrt: 2.0ms (1.3% of total)ival-neg: 2.0ms (1.3% of total)ival-sub: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) |
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) |
(/.f64 x z) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)) |
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) |
(sin.f64 y) |
(cos.f64 y) |
(*.f64 y y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(/ x z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* -1 (* x (cos y))) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(* (pow x 2) (pow (cos y) 2)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* -1 (* x (cos y))) |
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (pow (cos y) 2))) (pow x 3))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2))) |
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (/ (- (* -1 (/ (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (cos y))))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))))) (* x (cos y)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y)))) x)) (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(+ x (* -1/2 (* x (pow y 2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(* y z) |
(+ 1 (* -1/6 (pow y 2))) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(pow x 2) |
(+ (* -1 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow z 2)))))) (pow x 2)) |
(* -1 x) |
(+ (* -1 x) (* y z)) |
(+ (* -1 x) (* y (+ z (* 1/2 (* x y))))) |
(+ (* -1 x) (* y (+ z (* y (+ (* -1/6 (* y z)) (* 1/2 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 (* (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))) |
(pow y 2) |
(* 1/6 (pow y 2)) |
(/ 1 x) |
(+ (* y (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (+ (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (+ (* y (- (+ (* 1/2 (/ 1 x)) (* y (- (* -1/6 (/ z (pow x 2))) (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) x)) (+ (/ (* z (+ (* 1/6 x) (* 1/2 x))) (pow x 3)) (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (pow x 2))))))) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (cos y) z) |
(+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(cos y) |
(/ (+ (* x (cos y)) (* z (sin y))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(* y (* z (- 1 (* 1/6 (pow y 2))))) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* -1 (* z (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* z (- (* -1 (* z (+ (/ (* (sin y) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow (sin y) 2) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* (pow x 2) (pow (cos y) 2)))))) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))) |
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))) |
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | y | @ | -inf | ((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2)) |
| 5.0ms | z | @ | -inf | ((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2)) |
| 5.0ms | y | @ | inf | ((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2)) |
| 4.0ms | z | @ | 0 | ((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2)) |
| 4.0ms | x | @ | -inf | ((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 612 | 3366 |
| 1 | 2187 | 2828 |
| 0 | 8699 | 2680 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(/ x z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* -1 (* x (cos y))) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(* (pow x 2) (pow (cos y) 2)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* -1 (* x (cos y))) |
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (pow (cos y) 2))) (pow x 3))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2))) |
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (/ (- (* -1 (/ (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (cos y))))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))))) (* x (cos y)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y)))) x)) (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(+ x (* -1/2 (* x (pow y 2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(* y z) |
(+ 1 (* -1/6 (pow y 2))) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(pow x 2) |
(+ (* -1 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow z 2)))))) (pow x 2)) |
(* -1 x) |
(+ (* -1 x) (* y z)) |
(+ (* -1 x) (* y (+ z (* 1/2 (* x y))))) |
(+ (* -1 x) (* y (+ z (* y (+ (* -1/6 (* y z)) (* 1/2 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 (* (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))) |
(pow y 2) |
(* 1/6 (pow y 2)) |
(/ 1 x) |
(+ (* y (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (+ (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (+ (* y (- (+ (* 1/2 (/ 1 x)) (* y (- (* -1/6 (/ z (pow x 2))) (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) x)) (+ (/ (* z (+ (* 1/6 x) (* 1/2 x))) (pow x 3)) (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (pow x 2))))))) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (cos y) z) |
(+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(cos y) |
(/ (+ (* x (cos y)) (* z (sin y))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(* y (* z (- 1 (* 1/6 (pow y 2))))) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* -1 (* z (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* z (- (* -1 (* z (+ (/ (* (sin y) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow (sin y) 2) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* (pow x 2) (pow (cos y) 2)))))) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))) |
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))) |
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z x)) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)) |
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) |
(+ (* -1 (* x (cos y))) (* z (sin y))) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 (sin.f64 y) z)) (cos.f64 y) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (*.f64 (sin.f64 y) z)))) (fma.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) x (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(/ (* x (cos y)) z) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) x) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x)) x x) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (*.f64 (sin.f64 y) (cos.f64 y)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (*.f64 (sin.f64 y) (cos.f64 y)) x) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(* -1 (* x (cos y))) |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (cos.f64 y))) x) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x) |
(/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (pow (cos y) 2))) (pow x 3))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (cos.f64 y))) (sin.f64 y)) z) (cos.f64 y))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) (/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (cos.f64 y))) (*.f64 x x)))) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) x)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2))) |
(*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (sin.f64 y) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))) (neg.f64 x))) (*.f64 x x)) |
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))) |
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(fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cos.f64 y)) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (neg.f64 z) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (+ (* z (- (* -1 (* z (+ (/ (* (sin y) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow (sin y) 2) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* (pow x 2) (pow (cos y) 2)))))) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 (cos.f64 y) x)) (sin.f64 y) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (*.f64 (cos.f64 y) x))) (neg.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cos.f64 y)) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))))) z (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (sin.f64 y) (cos.f64 y)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (sin.f64 y) (cos.f64 y)) z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) |
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (sin.f64 y))) z) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z))) z) |
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (sin.f64 y))) (cos.f64 y)) x) (sin.f64 y))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (sin.f64 y))) (*.f64 z z)))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) (neg.f64 z)) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (*.f64 (neg.f64 y) z) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) (neg.f64 z)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (cos.f64 y) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z))) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 x x) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 y) x) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (cos.f64 y)) x) (sin.f64 y))) z)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (fma.f64 (*.f64 x x) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (cos.f64 y)) x) (sin.f64 y))))) z) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 404 |
| 0 | 103 | 397 |
| 1 | 359 | 397 |
| 2 | 2253 | 397 |
| 0 | 9523 | 374 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) |
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) |
(/.f64 x z) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)) |
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) |
(sin.f64 y) |
(cos.f64 y) |
(*.f64 y y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) (*.f64 (sin.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) (*.f64 (sin.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z)) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x))) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))) |
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(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(sin.f64 y) |
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (sin.f64 y))) |
(fabs.f64 (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(neg.f64 (*.f64 y (neg.f64 y))) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y (neg.f64 y))) |
(fabs.f64 (neg.f64 (*.f64 y y))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y))) y) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) (fabs.f64 (*.f64 y #s(literal 1 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (fabs.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/6 binary64)))) |
(*.f64 y (fabs.f64 (*.f64 #s(literal 1/6 binary64) y))) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) y)) |
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(fabs.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) z) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/4 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (*.f64 (sin.f64 y) z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y)) |
(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) z)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y))) (fabs.f64 x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (fabs.f64 (cos.f64 y))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 x))) (fabs.f64 (cos.f64 y))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (cos.f64 y))) (fabs.f64 x)) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 (*.f64 x (*.f64 (cos.f64 y) x)))) |
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 y))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) x) #s(literal 1 binary64)) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 x)) #s(literal 1 binary64)) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y)) x) |
(*.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (cos.f64 y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 x)) (cos.f64 y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (cos.f64 y)) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))))) |
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)))) |
(*.f64 (*.f64 x x) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y))) |
(*.f64 (neg.f64 x) (*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(*.f64 (*.f64 (cos.f64 y) x) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) (pow.f64 (*.f64 x (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) (*.f64 x (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(*.f64 x (pow.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (cos.f64 y) x))) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))))) |
(neg.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (cos.f64 y) x))) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (cos.f64 y) x))) |
(fabs.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
Compiled 64 745 to 4 080 computations (93.7% saved)
36 alts after pruning (28 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 965 | 10 | 975 |
| Fresh | 1 | 18 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 968 | 36 | 1 004 |
| Status | Accuracy | Program |
|---|---|---|
| 53.3% | (fma.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) | |
| 42.1% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 48.6% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) | |
| 47.8% | (fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) x)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 75.5% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 73.8% | (fma.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (*.f64 (sin.f64 y) z)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 52.3% | (+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 27.3% | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))))) | |
| 23.6% | (*.f64 #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| ✓ | 86.9% | #s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
| 70.6% | #s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z)) | |
| 42.8% | #s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z)) | |
| 50.2% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) | |
| 51.0% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) | |
| 45.7% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x)) | |
| 34.0% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)) | |
| ✓ | 33.3% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
| 20.0% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z))) | |
| 20.1% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y)))) | |
| 3.2% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) | |
| 35.6% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) | |
| 20.0% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y)))) | |
| 3.2% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y)))) | |
| 3.3% | #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) | |
| ✓ | 51.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ✓ | 58.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) |
| ✓ | 87.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) |
| 64.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) | |
| 70.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x)) | |
| 46.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x)) | |
| 43.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) | |
| 59.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) | |
| 45.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) | |
| ✓ | 20.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Compiled 2 926 to 1 006 computations (65.6% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (*.f64 (sin.f64 y) z)) |
(*.f64 #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x)) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))))) |
(+.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
4 calls:
| 18.0ms | y |
| 18.0ms | z |
| 17.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
4 calls:
| 13.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | z |
| 9.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.5% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 89.5% | 3 | x |
| 83.7% | 3 | y |
| 87.3% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
3 calls:
| 10.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 4 | y |
| 76.9% | 3 | z |
| 80.6% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) |
4 calls:
| 9.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 8.0ms | y |
| 7.0ms | z |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 3 | z |
| 64.2% | 3 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 71.9% | 3 | x |
| 76.4% | 3 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
4 calls:
| 8.0ms | y |
| 8.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 7.0ms | z |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 51.9% | 1 | z |
| 51.9% | 1 | x |
| 51.9% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 35.6% | 1 | y |
| 42.5% | 3 | x |
| 41.9% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.0% | 1 | y |
| 20.0% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 20.0% | 1 | z |
| 20.0% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 8.886375368729003e+32 | 7.877067179015355e+35 |
| 73.0ms | -5.181108014023327e-25 | -8.114337472277392e-32 |
| 118.0ms | 272× | 0 | valid |
Compiled 590 to 456 computations (22.7% saved)
ival-sin: 71.0ms (64% of total)ival-cos: 35.0ms (31.5% of total)ival-mult: 4.0ms (3.6% of total)ival-add: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 2.209366670447375e-18 | 8.616503906589419e-17 |
| 13.0ms | -1.1628124753454214e-7 | -4.9093215096490764e-11 |
| 137.0ms | -8.559561876011708e+241 | -2.0785093835398945e+231 |
| 92.0ms | 400× | 0 | valid |
Compiled 882 to 667 computations (24.4% saved)
ival-cos: 65.0ms (80% of total)ival-sin: 8.0ms (9.8% of total)ival-mult: 6.0ms (7.4% of total)ival-add: 2.0ms (2.5% 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 |
|---|---|---|
| 1.0ms | 2.209366670447375e-18 | 8.616503906589419e-17 |
| 60.0ms | -4218.035915374401 | -521.099133406211 |
| 11.0ms | 96× | 0 | valid |
Compiled 727 to 508 computations (30.1% saved)
ival-cos: 3.0ms (35.9% of total)ival-sin: 3.0ms (35.9% of total)ival-mult: 1.0ms (12% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 1.8788111834558487e-28 | 6.92142335139872e-22 |
| 17.0ms | -1.1962945509378589e-163 | -2.0683714670111503e-167 |
| 46.0ms | 272× | 0 | valid |
Compiled 998 to 728 computations (27.1% saved)
ival-cos: 6.0ms (35.4% of total)ival-sin: 6.0ms (35.4% of total)ival-mult: 4.0ms (23.6% of total)ival-add: 1.0ms (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 | 79 | 303 |
| 1 | 132 | 303 |
| 2 | 246 | 303 |
| 3 | 578 | 303 |
| 4 | 1253 | 303 |
| 5 | 2834 | 303 |
| 6 | 4439 | 303 |
| 7 | 6502 | 303 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(if (<=.f64 x #s(literal -66355061549583/170141183460469231731687303715884105728 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 114999999999999990858847801992806400 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)))) |
(if (<=.f64 y #s(literal -9600000000000000453913509587368280802810361948142739667395615830530585367732440353557327512471362714547214394635411670786475117366851576155776510339091768769100141811701932444295838826757997490533403782333911590047640263770854165315584 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -8689154328480147/75557863725914323419136 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))) |
(if (<=.f64 y #s(literal -540 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 x #s(literal -3983534946125753/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8920298079412249/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(if (<=.f64 x #s(literal -66355061549583/170141183460469231731687303715884105728 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 114999999999999990858847801992806400 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)))) |
(if (or (<=.f64 x #s(literal -66355061549583/170141183460469231731687303715884105728 binary64)) (not (<=.f64 x #s(literal 114999999999999990858847801992806400 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(if (<=.f64 y #s(literal -9600000000000000453913509587368280802810361948142739667395615830530585367732440353557327512471362714547214394635411670786475117366851576155776510339091768769100141811701932444295838826757997490533403782333911590047640263770854165315584 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -8689154328480147/75557863725914323419136 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))) |
(if (<=.f64 y #s(literal -540 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)))) |
(if (or (<=.f64 y #s(literal -540 binary64)) (not (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 x #s(literal -3983534946125753/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8920298079412249/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))))) |
(if (or (<=.f64 x #s(literal -3983534946125753/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) (not (<=.f64 x #s(literal 8920298079412249/44601490397061246283071436545296723011960832 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 1137 |
| 1 | 1158 | 1086 |
| 2 | 4426 | 1073 |
| 0 | 8585 | 975 |
| 0 | 522 | 2939 |
| 1 | 1926 | 2441 |
| 2 | 7981 | 2441 |
| 0 | 8001 | 2324 |
| 0 | 33 | 214 |
| 0 | 57 | 170 |
| 1 | 225 | 170 |
| 2 | 1566 | 170 |
| 0 | 8268 | 169 |
| 0 | 612 | 3366 |
| 1 | 2187 | 2828 |
| 0 | 8699 | 2680 |
| 0 | 93 | 248 |
| 1 | 361 | 244 |
| 2 | 1343 | 238 |
| 3 | 4829 | 236 |
| 0 | 8461 | 209 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 39 | 19 |
| 2 | 251 | 19 |
| 3 | 2605 | 19 |
| 0 | 8293 | 18 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 526 to 243 computations (53.8% saved)
Compiled 624 to 178 computations (71.5% saved)
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