
Time bar (total: 7.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-sin: 266.0ms (34.2% of total)ival-cos: 253.0ms (32.5% of total)ival-mult: 204.0ms (26.2% of total)ival-sub: 43.0ms (5.5% of total)ival-true: 5.0ms (0.6% of total)adjust: 3.0ms (0.4% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 49.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 11.0ms (34.5% of total)ival-cos: 10.0ms (31.4% of total)ival-mult: 7.0ms (22% of total)ival-sub: 2.0ms (6.3% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 79 | 84 |
| 2 | 146 | 84 |
| 3 | 245 | 84 |
| 4 | 451 | 84 |
| 5 | 1001 | 84 |
| 6 | 2456 | 84 |
| 7 | 5377 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 25 | 9 |
| 2 | 41 | 9 |
| 3 | 68 | 9 |
| 4 | 106 | 9 |
| 5 | 222 | 9 |
| 6 | 554 | 9 |
| 7 | 1420 | 9 |
| 8 | 3125 | 9 |
| 9 | 6739 | 9 |
| 0 | 8177 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 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 | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 25 | 24 |
| 2 | 41 | 24 |
| 3 | 68 | 24 |
| 4 | 106 | 24 |
| 5 | 222 | 24 |
| 6 | 554 | 24 |
| 7 | 1420 | 24 |
| 8 | 3125 | 24 |
| 9 | 6739 | 24 |
| 0 | 8177 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.01171875 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.12890625 | (*.f64 x (cos.f64 y)) |
| 53.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 26.0ms (58.1% of total)ival-sin: 14.0ms (31.3% of total)ival-mult: 4.0ms (8.9% of total)ival-sub: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (sin y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | 97 | 265 |
| 1 | 344 | 258 |
| 2 | 1199 | 252 |
| 3 | 4495 | 246 |
| 0 | 8267 | 227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (sin y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 38 | 19 |
| 2 | 239 | 19 |
| 3 | 2445 | 19 |
| 0 | 8361 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))))))) |
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(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) x)) |
(fma.f64 x (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 y)))) |
(fabs.f64 (*.f64 (neg.f64 x) (cos.f64 y))) |
(fabs.f64 (*.f64 (cos.f64 y) x)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 y) (neg.f64 (cos.f64 y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 y) (neg.f64 (cos.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 y))) (fabs.f64 (fabs.f64 z))) |
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 z))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y)))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z)) |
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(fabs.f64 (*.f64 (sin.f64 y) z)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (sin.f64 y) z))) (sinh.f64 (log.f64 (*.f64 (sin.f64 y) z)))) |
Compiled 6 250 to 698 computations (88.8% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 198 | 15 | 213 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 198 | 16 | 214 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| ▶ | 45.6% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 38.4% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 54.0% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 37.0% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| 34.9% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 56.0% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)))) | |
| 69.3% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 77.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 54.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) | |
| 54.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| ▶ | 56.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| ▶ | 90.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
| ▶ | 85.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
| ▶ | 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 571 to 406 computations (28.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) y x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 211 |
| 0 | 50 | 211 |
| 1 | 85 | 211 |
| 2 | 153 | 211 |
| 3 | 306 | 211 |
| 4 | 623 | 211 |
| 5 | 1181 | 207 |
| 6 | 2470 | 207 |
| 7 | 5443 | 207 |
| 0 | 8033 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) |
(*.f64 (/.f64 x z) (cos.f64 y)) |
(/.f64 x z) |
x |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(sqrt.f64 x) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z)) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z) |
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) |
(-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) |
(*.f64 (/.f64 x z) (cos.f64 y)) |
(*.f64 (/.f64 (cos.f64 y) z) x) |
(/.f64 x z) |
x |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(sqrt.f64 x) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) | |
| accuracy | 0.06640625 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 0.10546875 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.14453125 | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) | |
| accuracy | 0.05859375 | (*.f64 (/.f64 x z) (cos.f64 y)) | |
| accuracy | 4.711910704248466 | (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.06640625 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 20.554015704951258 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.0 | (fma.f64 (neg.f64 z) y x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 12.917585948156397 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| accuracy | 0.0390625 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| accuracy | 0.0546875 | (/.f64 (sin.f64 y) x) | |
| accuracy | 1.955314283695232 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
| 36.0ms | 131× | 0 | valid |
| 31.0ms | 125× | 0 | invalid |
Compiled 181 to 29 computations (84% saved)
ival-mult: 17.0ms (36.5% of total)ival-sin: 6.0ms (12.9% of total)ival-cos: 6.0ms (12.9% of total)ival-div: 4.0ms (8.6% of total)ival-add: 3.0ms (6.4% of total)ival-sqrt: 3.0ms (6.4% of total)ival-sub: 2.0ms (4.3% of total)ival-pow2: 2.0ms (4.3% of total)ival-neg: 1.0ms (2.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) |
(*.f64 (/.f64 x z) (cos.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (sin y) x) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (* x (cos y)) z) |
(* (sqrt x) (cos y)) |
(* x (pow (cos y) 2)) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x)))) |
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2)))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
y |
(* 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 z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(sqrt x) |
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2)))))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x))))))) |
(+ x (* -1 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x)))))) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(* y (+ (* -1 z) (/ x y))) |
(sin y) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(pow (cos y) 2) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 z) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 y) (/ x z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | y | @ | -inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2)) |
| 25.0ms | z | @ | inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2)) |
| 5.0ms | y | @ | 0 | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2)) |
| 5.0ms | x | @ | -inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2)) |
| 5.0ms | x | @ | 0 | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 824 |
| 1 | 908 | 799 |
| 2 | 3221 | 753 |
| 3 | 7335 | 747 |
| 0 | 8589 | 702 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (sin y) x) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (* x (cos y)) z) |
(* (sqrt x) (cos y)) |
(* x (pow (cos y) 2)) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x)))) |
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2)))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
y |
(* 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 z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(sqrt x) |
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2)))))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x))))))) |
(+ x (* -1 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x)))))) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(* y (+ (* -1 z) (/ x y))) |
(sin y) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(pow (cos y) 2) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 z) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 y) (/ x z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/ (* x (cos y)) z) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* (sqrt x) (cos y)) |
(*.f64 (sqrt.f64 x) (cos.f64 y)) |
(* x (pow (cos y) 2)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(-.f64 x (*.f64 z y)) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) (cos.f64 y)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* y z) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) x) (/.f64 y x)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y) |
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)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 y) (/ x z)) |
(-.f64 (/.f64 x z) y) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64)))) z) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2)))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 y y) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))) |
(+ x (* -1 (* x (pow y 2)))) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y #s(literal -1 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y (+ (* -1 z) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(sin y) |
(sin.f64 y) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* -1 z) |
(neg.f64 z) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 168 |
| 0 | 50 | 167 |
| 1 | 162 | 163 |
| 2 | 1116 | 160 |
| 0 | 8404 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) |
(*.f64 (/.f64 x z) (cos.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 y)))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 y)))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 y)))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 y)))) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 y))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 y))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 y))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 y))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 x (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y))) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) y)) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) y)) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 y (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(-.f64 (/.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 y) y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 y) y)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (+.f64 y (neg.f64 y))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 y (neg.f64 y))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (+.f64 y y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 y y)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 (sin.f64 y))) (fabs.f64 (sin.f64 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (sin.f64 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
Compiled 17 380 to 1 938 computations (88.8% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 23 | 533 |
| Fresh | 5 | 5 | 10 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 515 | 34 | 549 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| ✓ | 45.6% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 45.5% | (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ▶ | 54.0% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 37.0% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| 34.9% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ▶ | 77.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 54.5% | #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 (neg.f64 z)) y x)) | |
| 54.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 30.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) | |
| ✓ | 56.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 32.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))) (+.f64 x (*.f64 z y)))) | |
| 47.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) | |
| 60.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) | |
| 78.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y)))) | |
| 70.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) | |
| ✓ | 90.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
| 85.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| 69.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 (/.f64 (sin.f64 y) (neg.f64 x)) z)) x)) | |
| 51.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) z)) | |
| 40.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) z)) | |
| ▶ | 85.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
| ✓ | 85.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
| ✓ | 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 45.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) | |
| 31.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) | |
| ▶ | 52.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
| 26.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x)) | |
| 61.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| ▶ | 40.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| 43.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| 19.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) | |
| 19.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
Compiled 1 744 to 1 036 computations (40.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (cos.f64 y) x)) | |
| cost-diff | 7 | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (cos.f64 y) x) z) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 267 |
| 0 | 58 | 260 |
| 1 | 97 | 254 |
| 2 | 165 | 254 |
| 3 | 291 | 254 |
| 4 | 481 | 254 |
| 5 | 785 | 254 |
| 6 | 1498 | 254 |
| 7 | 2962 | 254 |
| 8 | 5639 | 254 |
| 0 | 8580 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 z y) x) |
(*.f64 z y) |
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 |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 z y) x) |
(*.f64 z y) |
z |
y |
x |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(sqrt.f64 (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (sqrt.f64 (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.046875 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 0.078125 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.162441259768442 | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.046875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.078125 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 14.320925649081834 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.006191259768442017 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) | |
| accuracy | 2.9115725813337945 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x) | |
| accuracy | 3.6676071239052974 | (/.f64 (*.f64 z y) x) | |
| accuracy | 13.582408360195881 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) | |
| accuracy | 2.9115725813337945 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) | |
| accuracy | 20.324273211747986 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (cos.f64 y) | |
| accuracy | 0.046875 | (/.f64 (*.f64 (cos.f64 y) x) z) | |
| accuracy | 0.078125 | (*.f64 (cos.f64 y) x) | |
| accuracy | 4.956960984702797 | (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
| 51.0ms | 139× | 0 | valid |
| 41.0ms | 117× | 0 | invalid |
Compiled 196 to 27 computations (86.2% saved)
ival-mult: 36.0ms (51.6% of total)ival-sin: 6.0ms (8.6% of total)ival-sub: 6.0ms (8.6% of total)ival-cos: 6.0ms (8.6% of total)ival-neg: 6.0ms (8.6% of total)ival-div: 5.0ms (7.2% of total)ival-add: 2.0ms (2.9% of total)ival-sqrt: 2.0ms (2.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
(/.f64 (*.f64 z y) x) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (* x (cos y)) z) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* -1 (/ (* y z) x)) |
(/ (- x (* y z)) x) |
(* x (cos y)) |
(sqrt (* x (cos y))) |
(/ (* y z) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x)))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sqrt x) |
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x)))))))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x))))))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* y (- (/ 1 y) (/ z x))) |
(* z (sin y)) |
(* y (+ (* -1 (/ z x)) (/ 1 y))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (- (/ 1 z) (/ y x))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* z (+ (* -1 (/ y x)) (/ 1 z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | z | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (* z y) x) (* (neg z) (sin y))) |
| 14.0ms | x | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (* z y) x) (* (neg z) (sin y))) |
| 9.0ms | y | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (* z y) x) (* (neg z) (sin y))) |
| 3.0ms | z | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (* z y) x) (* (neg z) (sin y))) |
| 3.0ms | z | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (* z y) x) (* (neg z) (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 764 |
| 1 | 849 | 742 |
| 2 | 3186 | 711 |
| 3 | 7426 | 709 |
| 0 | 9102 | 665 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (* x (cos y)) z) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* -1 (/ (* y z) x)) |
(/ (- x (* y z)) x) |
(* x (cos y)) |
(sqrt (* x (cos y))) |
(/ (* y z) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x)))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sqrt x) |
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x)))))))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x))))))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* y (- (/ 1 y) (/ z x))) |
(* z (sin y)) |
(* y (+ (* -1 (/ z x)) (/ 1 y))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (- (/ 1 z) (/ y x))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* z (+ (* -1 (/ y x)) (/ 1 z))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/ (* x (cos y)) z) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* -1 (/ (* y z) x)) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(/ (- x (* y z)) x) |
(/.f64 (-.f64 x (*.f64 z y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(sqrt (* x (cos y))) |
(sqrt.f64 (*.f64 (cos.f64 y) x)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* y z) x))) |
(/.f64 (-.f64 x (*.f64 z y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 (cos.f64 y) x)) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 y) (/ x z)) |
(-.f64 (/.f64 x z) y) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x x) z) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x x)) z) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ x (* -1/2 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x x)) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/48 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal -19/2880 binary64)) y) y (*.f64 #s(literal -1/48 binary64) x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) y) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* y (- (/ 1 y) (/ z x))) |
(/.f64 (-.f64 x (*.f64 z y)) x) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* y (+ (* -1 (/ z x)) (/ 1 y))) |
(/.f64 (-.f64 x (*.f64 z y)) x) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* z (- (/ 1 z) (/ y x))) |
(/.f64 (-.f64 x (*.f64 z y)) x) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* z (+ (* -1 (/ y x)) (/ 1 z))) |
(/.f64 (-.f64 x (*.f64 z y)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 234 |
| 0 | 58 | 227 |
| 1 | 188 | 221 |
| 2 | 1235 | 221 |
| 0 | 8508 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
(/.f64 (*.f64 z y) x) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(*.f64 z (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))))) |
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(*.f64 (neg.f64 (cos.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)))) |
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 x (*.f64 (cos.f64 y) x))))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 (cos.f64 y) x)))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) (fabs.f64 x)) |
(*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (cos.f64 y) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (neg.f64 (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (cos.f64 y) x)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (cos.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x)))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.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)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (cos.f64 y))) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 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 (*.f64 #s(literal 1 binary64) z) (/.f64 y x)) |
(*.f64 (/.f64 y x) z) |
(*.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(*.f64 z (/.f64 y x)) |
(*.f64 y (/.f64 z x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 x)) |
(/.f64 (*.f64 z y) x) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) z) x)) |
(neg.f64 (/.f64 (*.f64 z y) (neg.f64 x))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(neg.f64 (*.f64 (sin.f64 y) z)) |
Compiled 14 318 to 1 553 computations (89.2% saved)
36 alts after pruning (28 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 9 | 481 |
| Fresh | 4 | 19 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 479 | 36 | 515 |
| Status | Accuracy | Program |
|---|---|---|
| 74.8% | (fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 59.6% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| ✓ | 45.6% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 38.5% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) | |
| 77.6% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 50.9% | (fma.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ▶ | 37.0% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
| 34.9% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ▶ | 54.5% | #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 (neg.f64 z)) y x)) |
| 54.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 30.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) | |
| ✓ | 56.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 32.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))) (+.f64 x (*.f64 z y)))) | |
| 47.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) | |
| 60.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) | |
| 78.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y)))) | |
| 70.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) | |
| ✓ | 90.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
| ▶ | 85.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
| 51.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) z)) | |
| 40.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) z)) | |
| 62.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) z) (sin.f64 y)) z)) | |
| ✓ | 85.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
| ✓ | 85.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
| ✓ | 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 45.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) | |
| 31.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) | |
| 26.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x)) | |
| ▶ | 31.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
| 61.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| 11.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) | |
| ✓ | 40.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| 43.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| ▶ | 19.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
| 19.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
Compiled 1 793 to 1 075 computations (40% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) | |
| 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 (neg.f64 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 (neg.f64 z)) y x) | |
| cost-diff | 0 | #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 (neg.f64 z)) y x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 310 |
| 0 | 77 | 310 |
| 1 | 133 | 305 |
| 2 | 245 | 305 |
| 3 | 569 | 305 |
| 4 | 1329 | 305 |
| 5 | 2985 | 301 |
| 6 | 4348 | 301 |
| 7 | 7626 | 301 |
| 0 | 8041 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#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 (neg.f64 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 (neg.f64 z)) y x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 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 |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
#s(literal 2 binary64) |
z |
(sqrt.f64 z) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y))) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 y) z) |
(*.f64 (neg.f64 z) y) |
(neg.f64 y) |
y |
z |
#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 (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) y z) (neg.f64 y) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) y z) (neg.f64 y) x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.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 |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 z x) (neg.f64 (sin.f64 y)))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 z x) (neg.f64 (sin.f64 y)))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 z x) (neg.f64 (sin.f64 y)))) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 z x) (neg.f64 (sin.f64 y))) |
(neg.f64 z) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.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))) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
#s(literal 2 binary64) |
z |
(sqrt.f64 z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.16015625 | (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) | |
| accuracy | 2.3055600121235704 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) | |
| accuracy | 7.920195392239629 | (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) | |
| accuracy | 0.046875 | (/.f64 (sin.f64 y) x) | |
| accuracy | 0.9951086144663398 | (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) | |
| accuracy | 2.4021480336965357 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) | |
| accuracy | 18.53750052377075 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) | |
| accuracy | 0.0078125 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) | |
| accuracy | 0.3020744262976362 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 12.90731152917609 | #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 (neg.f64 z)) y x)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 12.474577945278732 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) | |
| accuracy | 15.245290418302226 | #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| accuracy | 0.03125 | (/.f64 (cos.f64 y) z) | |
| accuracy | 0.0859375 | (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) | |
| accuracy | 3.7605772159059385 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
| 70.0ms | 135× | 0 | invalid |
| 40.0ms | 121× | 0 | valid |
Compiled 238 to 42 computations (82.4% saved)
ival-mult: 31.0ms (35.2% of total)ival-sqrt: 17.0ms (19.3% of total)ival-add: 10.0ms (11.4% of total)ival-cos: 7.0ms (8% of total)ival-sin: 5.0ms (5.7% of total)ival-div: 4.0ms (4.5% of total)const: 4.0ms (4.5% of total)ival-sub: 3.0ms (3.4% of total)ival-pow2: 3.0ms (3.4% of total)ival-neg: 3.0ms (3.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/.f64 (cos.f64 y) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
#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 (neg.f64 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 (neg.f64 z)) y x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) |
(/.f64 (sin.f64 y) x) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* x (cos y)) |
(/ (sin y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(/ (* x (cos y)) z) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) 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) (* -1 (/ (* z (sin y)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x))))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(/ 1 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)) |
(* -1 y) |
(* -1 z) |
(- (* -1/2 (* x y)) z) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(* -1 (/ (* y z) x)) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (* -1/6 (* (pow y 2) (sqrt z))))) |
(* y (+ (sqrt z) (* (pow y 2) (+ (* -1/6 (sqrt z)) (* 1/120 (* (pow y 2) (sqrt z))))))) |
(* y (+ (sqrt z) (* (pow y 2) (+ (* -1/6 (sqrt z)) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (sqrt z))) (* 1/120 (sqrt z)))))))) |
(* (pow y 2) z) |
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z)))) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(/ (cos y) z) |
(* y (+ (* -1 z) (/ x y))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (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 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* z (sin y)) |
(* (sqrt z) (sin y)) |
(* z (pow (sin y) 2)) |
(pow (sin y) 2) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 y) (/ x z))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt z) (* (sin y) (pow (sqrt -1) 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | ((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (/ (sin y) x) (sqrt (* (pow (sin y) 2) z)) (* (pow (sin y) 2) z) (pow (sin y) 2)) |
| 8.0ms | x | @ | 0 | ((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (/ (sin y) x) (sqrt (* (pow (sin y) 2) z)) (* (pow (sin y) 2) z) (pow (sin y) 2)) |
| 5.0ms | z | @ | -inf | ((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (/ (sin y) x) (sqrt (* (pow (sin y) 2) z)) (* (pow (sin y) 2) z) (pow (sin y) 2)) |
| 4.0ms | y | @ | inf | ((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (/ (sin y) x) (sqrt (* (pow (sin y) 2) z)) (* (pow (sin y) 2) z) (pow (sin y) 2)) |
| 4.0ms | z | @ | inf | ((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (/ (sin y) x) (sqrt (* (pow (sin y) 2) z)) (* (pow (sin y) 2) z) (pow (sin y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 1635 |
| 1 | 1534 | 1567 |
| 2 | 5885 | 1537 |
| 0 | 8385 | 1442 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* x (cos y)) |
(/ (sin y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(/ (* x (cos y)) z) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) 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) (* -1 (/ (* z (sin y)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x))))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(/ 1 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)) |
(* -1 y) |
(* -1 z) |
(- (* -1/2 (* x y)) z) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(* -1 (/ (* y z) x)) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (* -1/6 (* (pow y 2) (sqrt z))))) |
(* y (+ (sqrt z) (* (pow y 2) (+ (* -1/6 (sqrt z)) (* 1/120 (* (pow y 2) (sqrt z))))))) |
(* y (+ (sqrt z) (* (pow y 2) (+ (* -1/6 (sqrt z)) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (sqrt z))) (* 1/120 (sqrt z)))))))) |
(* (pow y 2) z) |
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z)))) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(/ (cos y) z) |
(* y (+ (* -1 z) (/ x y))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (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 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* z (sin y)) |
(* (sqrt z) (sin y)) |
(* z (pow (sin y) 2)) |
(pow (sin y) 2) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 y) (/ x z))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt z) (* (sin y) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z) y) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z) y)) |
(- (* 1/6 (* (pow y 2) z)) z) |
(-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 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))) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(/ (* x (cos y)) z) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) 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 (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z) y) 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 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 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 y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #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 (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z) (neg.f64 x)))) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal 1/2 binary64))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 y) (/ x z)) |
(-.f64 (/.f64 x z) y) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal -1/720 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(* -1 y) |
(neg.f64 y) |
(* -1 z) |
(neg.f64 z) |
(- (* -1/2 (* x y)) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* y z) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(* -1 (/ (* y z) x)) |
(*.f64 (/.f64 (neg.f64 z) x) y) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z) y) x) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(fma.f64 (neg.f64 y) (/.f64 z x) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) z (*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 y y) z))) x))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/120 binary64) z)) x))) 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 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.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 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(+ 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)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 y x)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (+ (sqrt z) (* -1/6 (* (pow y 2) (sqrt z))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z)) y) |
(* y (+ (sqrt z) (* (pow y 2) (+ (* -1/6 (sqrt z)) (* 1/120 (* (pow y 2) (sqrt z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 z) y)) |
(* y (+ (sqrt z) (* (pow y 2) (+ (* -1/6 (sqrt z)) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (sqrt z))) (* 1/120 (sqrt z)))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y) y) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 y y) z) (*.f64 y y)) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64))) (*.f64 y y) (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y) z) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 y y)) #s(literal 1/3 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64)) y) y) #s(literal 1/3 binary64)) (*.f64 y y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(* y (+ (* -1 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)) z) #s(literal 1/6 binary64)) |
(* (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 (/ z (pow y 2))) (+ (* -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 (neg.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 (+.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (neg.f64 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 (/ z (pow y 2))) (+ (* -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 (neg.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) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* (sqrt z) (sin y)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(* z (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(pow (sin y) 2) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) z))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 z (/.f64 x y)) (neg.f64 y))) (neg.f64 y)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) (neg.f64 y))) y) y) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) z))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) z) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z) y) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) 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 (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z) #s(literal -1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (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)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) z) |
(* -1 (* (sqrt z) (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 270 |
| 0 | 77 | 268 |
| 1 | 242 | 257 |
| 2 | 1723 | 251 |
| 0 | 8398 | 251 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/.f64 (cos.f64 y) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
#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 (neg.f64 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 (neg.f64 z)) y x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) |
(/.f64 (sin.f64 y) x) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z (*.f64 (neg.f64 (sin.f64 y)) z)) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z)) |
(fma.f64 z (*.f64 x (/.f64 (cos.f64 y) z)) (*.f64 z (neg.f64 (sin.f64 y)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z)))) |
(+.f64 (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(+.f64 (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z))) (*.f64 z (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (*.f64 x (/.f64 (cos.f64 y) z)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) |
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))) |
(-.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 y) z))) |
(-.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 (/.f64 (cos.f64 y) z)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (neg.f64 (sin.f64 y)) (-.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))) |
(+.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (cos.f64 y) z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z)) |
(/.f64 (cos.f64 y) z) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z)) |
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(neg.f64 (*.f64 z y)) |
(neg.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(fma.f64 y (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y) x))) |
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(*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z)) |
(*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) |
(exp.f64 (fma.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (log.f64 z)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (log.f64 z)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (log.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 y))))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 (sin.f64 y)))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (sin.f64 y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 y))) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (sin.f64 (+.f64 (+.f64 (PI.f64) y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) y) (neg.f64 y))) (cos.f64 (+.f64 (+.f64 (PI.f64) y) (neg.f64 y))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) (+.f64 (PI.f64) y))) (cos.f64 (+.f64 (neg.f64 y) (+.f64 (PI.f64) y))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) y) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) y) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (sin.f64 (+.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) y))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) y) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (PI.f64) y) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (neg.f64 y) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (sin.f64 (+.f64 (+.f64 (PI.f64) y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) y) (neg.f64 y))) (cos.f64 (+.f64 (+.f64 (PI.f64) y) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) (+.f64 (PI.f64) y))) (cos.f64 (+.f64 (neg.f64 y) (+.f64 (PI.f64) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))) |
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) |
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64))) |
(-.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) y) (neg.f64 y))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) y) (neg.f64 y))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cos.f64 (-.f64 (neg.f64 y) (+.f64 (PI.f64) y))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (neg.f64 y) (+.f64 (PI.f64) y))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cos.f64 (-.f64 y y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 y y)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fabs.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
Compiled 14 503 to 2 089 computations (85.6% saved)
38 alts after pruning (27 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 8 | 452 |
| Fresh | 4 | 19 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 450 | 38 | 488 |
| Status | Accuracy | Program |
|---|---|---|
| 74.8% | (fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 59.6% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 47.1% | (fma.f64 (*.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (cos.f64 y))) | |
| ✓ | 45.6% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 38.5% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) | |
| 77.6% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 50.9% | (fma.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 34.5% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)) (sqrt.f64 z))) | |
| 33.2% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 #s(approx (sqrt (* (pow (sin y) 2) z)) (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 55.2% | #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 (neg.f64 z)) y x)) | |
| 30.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) | |
| ✓ | 56.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 38.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) | |
| 37.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| 47.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) | |
| 60.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) | |
| 78.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y)))) | |
| 70.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) | |
| ✓ | 90.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
| ✓ | 85.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
| 51.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) z)) | |
| 62.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) z) (sin.f64 y)) z)) | |
| ✓ | 85.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
| ✓ | 85.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
| ✓ | 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 45.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) | |
| 31.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) | |
| 26.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x)) | |
| ✓ | 31.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
| 61.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| 11.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) | |
| ✓ | 40.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| 46.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) | |
| 37.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| 43.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| ✓ | 19.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
| 19.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
Compiled 2 425 to 950 computations (60.8% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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 (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))) (+.f64 x (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.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))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 #s(approx (sqrt (* (pow (sin y) 2) z)) (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (cos.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)) (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) z) (sin.f64 y)) z)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 (/.f64 (sin.f64 y) (neg.f64 x)) z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) (cos.f64 y)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) z)) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 55.0ms | y |
| 14.0ms | x |
| 14.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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 (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))) (+.f64 x (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.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))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 #s(approx (sqrt (* (pow (sin y) 2) z)) (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 53.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 8.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 88.7% | 3 | x |
| 81.0% | 3 | y |
| 90.2% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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 (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))) (+.f64 x (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.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))) |
| Outputs |
|---|
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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 (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))) (+.f64 x (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
2 calls:
| 6.0ms | z |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | x |
| 81.8% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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 (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))) (+.f64 x (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
4 calls:
| 16.0ms | y |
| 6.0ms | x |
| 6.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.9% | 3 | x |
| 65.8% | 3 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 78.2% | 3 | y |
| 74.3% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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 (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))) (+.f64 x (*.f64 z y)))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
4 calls:
| 22.0ms | x |
| 6.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 6.0ms | y |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 56.0% | 1 | x |
| 56.0% | 1 | z |
| 56.0% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
4 calls:
| 1.0ms | z |
| 1.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.1% | 1 | y |
| 40.1% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 49.8% | 3 | z |
| 46.9% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
3 calls:
| 1.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.1% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 40.1% | 1 | x |
| 40.1% | 1 | z |
Compiled 11 to 14 computations (-27.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 9.422931560977572e-41 | 3.801486014179853e-34 |
| 36.0ms | -2.192650639054431e-7 | -2.3608550097217492e-9 |
| 45.0ms | 256× | 0 | valid |
Compiled 588 to 462 computations (21.4% saved)
ival-cos: 28.0ms (73.7% of total)ival-sin: 5.0ms (13.2% of total)ival-mult: 4.0ms (10.5% of total)ival-sub: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.422931560977572e-41 | 3.801486014179853e-34 |
| 1.0ms | -2.192650639054431e-7 | -2.3608550097217492e-9 |
Compiled 588 to 462 computations (21.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.0525437088890696e+74 | 1.5368209324070109e+77 |
| 29.0ms | -3.9075157470743896e+132 | -1.0344516921806984e+131 |
| 22.0ms | 240× | 0 | valid |
Compiled 612 to 464 computations (24.2% saved)
ival-cos: 6.0ms (39.2% of total)ival-sin: 5.0ms (32.7% of total)ival-mult: 3.0ms (19.6% of total)ival-sub: 1.0ms (6.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.6824510861785561e-7 | 413361975.2513068 |
| 21.0ms | -711.7249395717394 | -9.201815779628915e-6 |
| 33.0ms | 304× | 0 | valid |
Compiled 962 to 679 computations (29.4% saved)
ival-cos: 4.0ms (30.1% of total)ival-mult: 4.0ms (30.1% of total)ival-sin: 4.0ms (30.1% of total)ival-sub: 1.0ms (7.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 1.3399208720977756e+154 | 6.343492342029202e+159 |
| 10.0ms | -3.9075157470743896e+132 | -1.0344516921806984e+131 |
| 53.0ms | 224× | 0 | valid |
Compiled 732 to 542 computations (26% saved)
ival-mult: 36.0ms (77.4% of total)ival-cos: 5.0ms (10.7% of total)ival-sin: 4.0ms (8.6% of total)ival-sub: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 310 |
| 1 | 124 | 303 |
| 2 | 170 | 303 |
| 3 | 229 | 303 |
| 4 | 295 | 303 |
| 5 | 429 | 303 |
| 6 | 781 | 303 |
| 7 | 1680 | 303 |
| 8 | 3743 | 303 |
| 9 | 7135 | 303 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -2568967366681087/302231454903657293676544 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 8141382560850035/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -2568967366681087/302231454903657293676544 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8141382560850035/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1359999999999999943397964727249519408861263123815332018609057445142729778163126892478210006144820650918680858848023258802562319515648 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 22499999999999998648445959769387652443065964655956015436322605779331808493568 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 8358680908399641/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(if (<=.f64 z #s(literal -2649999999999999983578754855536278736225321472482307777773792254364912585503497716781908129363777283762299221892932582382547673022464 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 240000000000000020775936623993197664595541584353290813696206738752632147476268693708790411082841375635030456982795842163077242077454820963136021701981110272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -2568967366681087/302231454903657293676544 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 8141382560850035/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -2568967366681087/302231454903657293676544 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8141382560850035/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (or (<=.f64 z #s(literal -2568967366681087/302231454903657293676544 binary64)) (not (<=.f64 z #s(literal 8141382560850035/95780971304118053647396689196894323976171195136475136 binary64)))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))) |
(if (<=.f64 z #s(literal -1359999999999999943397964727249519408861263123815332018609057445142729778163126892478210006144820650918680858848023258802562319515648 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 22499999999999998648445959769387652443065964655956015436322605779331808493568 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (or (<=.f64 z #s(literal -1359999999999999943397964727249519408861263123815332018609057445142729778163126892478210006144820650918680858848023258802562319515648 binary64)) (not (<=.f64 z #s(literal 22499999999999998648445959769387652443065964655956015436322605779331808493568 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))) |
(if (<=.f64 y #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 8358680908399641/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
(if (or (<=.f64 y #s(literal -1261007895663739/9007199254740992 binary64)) (not (<=.f64 y #s(literal 8358680908399641/144115188075855872 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(if (<=.f64 z #s(literal -2649999999999999983578754855536278736225321472482307777773792254364912585503497716781908129363777283762299221892932582382547673022464 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 240000000000000020775936623993197664595541584353290813696206738752632147476268693708790411082841375635030456982795842163077242077454820963136021701981110272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))))) |
(if (or (<=.f64 z #s(literal -2649999999999999983578754855536278736225321472482307777773792254364912585503497716781908129363777283762299221892932582382547673022464 binary64)) (not (<=.f64 z #s(literal 240000000000000020775936623993197664595541584353290813696206738752632147476268693708790411082841375635030456982795842163077242077454820963136021701981110272 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 824 |
| 1 | 908 | 799 |
| 2 | 3221 | 753 |
| 3 | 7335 | 747 |
| 0 | 8589 | 702 |
| 0 | 97 | 265 |
| 1 | 344 | 258 |
| 2 | 1199 | 252 |
| 3 | 4495 | 246 |
| 0 | 8267 | 227 |
| 0 | 37 | 234 |
| 0 | 58 | 227 |
| 1 | 188 | 221 |
| 2 | 1235 | 221 |
| 0 | 8508 | 221 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 310 to 79 computations (74.5% saved)
Compiled 638 to 174 computations (72.7% saved)
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