
Time bar (total: 7.4s)
| 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)
| 1.2s | 8 256× | 0 | valid |
ival-sin: 321.0ms (37.8% of total)ival-cos: 272.0ms (32.1% of total)ival-mult: 129.0ms (15.2% of total)ival-sub: 115.0ms (13.6% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)adjust: 2.0ms (0.2% 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 |
| 86.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-mult: 36.0ms (52.2% of total)ival-sin: 17.0ms (24.6% of total)ival-cos: 11.0ms (15.9% of total)ival-sub: 4.0ms (5.8% 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 | 0.0078125 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.10546875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.10546875 | (*.f64 x (cos.f64 y)) |
| 56.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 26.0ms (70% of total)ival-cos: 6.0ms (16.2% of total)ival-mult: 3.0ms (8.1% of total)ival-sub: 1.0ms (2.7% 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 | x | @ | -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× | 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)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 195 | 18 | 213 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 196 | 18 | 214 |
| Status | Accuracy | Program |
|---|---|---|
| 61.7% | (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)))) | |
| 42.2% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 54.7% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 99.8% | (-.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y))) | |
| 34.1% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| ▶ | 45.0% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)))) |
| 54.5% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) | |
| 62.9% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ▶ | 78.2% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 51.8% | (*.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))))) | |
| 53.4% | #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)) | |
| 53.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| ▶ | 54.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| ▶ | 91.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
| 87.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| 38.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 738 to 472 computations (36% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.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 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)))) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) y x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 202 |
| 0 | 52 | 200 |
| 1 | 92 | 200 |
| 2 | 165 | 200 |
| 3 | 315 | 200 |
| 4 | 610 | 200 |
| 5 | 1105 | 198 |
| 6 | 1999 | 198 |
| 7 | 4579 | 198 |
| 0 | 8063 | 198 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
#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) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))) |
(sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
(sqrt.f64 (neg.f64 z)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 z) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
#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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(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) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)))) |
(fma.f64 (neg.f64 (sqrt.f64 (neg.f64 z))) (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) #s(literal -1 binary64)) z)) (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) #s(literal -1 binary64)) z))) |
(sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) |
(sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) #s(literal -1 binary64)) z)) |
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) |
(*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 z) |
z |
(sin.f64 y) |
(sqrt.f64 (neg.f64 z)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) | |
| accuracy | 0.146816259768442 | (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))) | |
| accuracy | 7.948024328323547 | (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) | |
| 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 | 0.03515625 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| accuracy | 0.0625 | (/.f64 (sin.f64 y) x) | |
| accuracy | 2.828872193523058 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.04296875 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.0546875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 13.686102523727032 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 (neg.f64 z) y x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 14.398270766756553 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.03125 | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.0546875 | (*.f64 (neg.f64 z) (sin.f64 y)) |
| 106.0ms | 121× | 0 | invalid |
| 84.0ms | 135× | 0 | valid |
Compiled 184 to 26 computations (85.9% saved)
ival-mult: 43.0ms (39.5% of total)ival-add: 37.0ms (34% of total)ival-cos: 11.0ms (10.1% of total)ival-sin: 7.0ms (6.4% of total)ival-sqrt: 4.0ms (3.7% of total)ival-sub: 3.0ms (2.8% of total)ival-div: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% 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 |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(cos.f64 y) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(*.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) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))) |
(sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* x (cos y)) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (sin y) x) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(- (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* x (+ (cos y) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ 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))) |
(+ x (* -1 (* y (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* -1/2 (* x y)) (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2))))) |
(* y (* z (pow (sqrt -1) 2))) |
(* y (+ (* -1/6 (* (pow y 2) (* z (pow (sqrt -1) 2)))) (* z (pow (sqrt -1) 2)))) |
(* y (+ (* z (pow (sqrt -1) 2)) (* (pow y 2) (+ (* -1/6 (* z (pow (sqrt -1) 2))) (* 1/120 (* (pow y 2) (* z (pow (sqrt -1) 2)))))))) |
(* y (+ (* z (pow (sqrt -1) 2)) (* (pow y 2) (+ (* -1/6 (* z (pow (sqrt -1) 2))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (* z (pow (sqrt -1) 2)))) (* 1/120 (* z (pow (sqrt -1) 2))))))))) |
(* (* y (sqrt -1)) (sqrt z)) |
(* y (+ (* -1/6 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* (sqrt z) (sqrt -1)))) |
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* 1/120 (* (* (pow y 2) (sqrt -1)) (sqrt z))))))) |
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* (pow y 2) (+ (* -1/5040 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* 1/120 (* (sqrt z) (sqrt -1))))))))) |
(* -1 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))) |
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* 1/3 z) (* (pow y 2) (+ (* -2/45 z) (* 1/315 (* (pow y 2) z)))))))) |
(* y (+ (* -1 z) (/ x y))) |
(* z (sin y)) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(* (sqrt z) (* (sin y) (sqrt -1))) |
(* -1 (* z (pow (sin y) 2))) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 z) |
(+ (* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) (* x (cos y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 y) (/ x z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (- (/ (* x (cos y)) z) (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(* -1 (* (sqrt z) (* (sin y) (sqrt -1)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | z | @ | -inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ (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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y))) |
| 7.0ms | x | @ | -inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ (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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y))) |
| 6.0ms | y | @ | inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ (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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y))) |
| 4.0ms | y | @ | -inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ (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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y))) |
| 4.0ms | x | @ | 0 | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ (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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 292 | 1015 |
| 1 | 1113 | 933 |
| 2 | 4560 | 920 |
| 0 | 8309 | 856 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* x (cos y)) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (sin y) x) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(- (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* x (+ (cos y) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ 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))) |
(+ x (* -1 (* y (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* -1/2 (* x y)) (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2))))) |
(* y (* z (pow (sqrt -1) 2))) |
(* y (+ (* -1/6 (* (pow y 2) (* z (pow (sqrt -1) 2)))) (* z (pow (sqrt -1) 2)))) |
(* y (+ (* z (pow (sqrt -1) 2)) (* (pow y 2) (+ (* -1/6 (* z (pow (sqrt -1) 2))) (* 1/120 (* (pow y 2) (* z (pow (sqrt -1) 2)))))))) |
(* y (+ (* z (pow (sqrt -1) 2)) (* (pow y 2) (+ (* -1/6 (* z (pow (sqrt -1) 2))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (* z (pow (sqrt -1) 2)))) (* 1/120 (* z (pow (sqrt -1) 2))))))))) |
(* (* y (sqrt -1)) (sqrt z)) |
(* y (+ (* -1/6 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* (sqrt z) (sqrt -1)))) |
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* 1/120 (* (* (pow y 2) (sqrt -1)) (sqrt z))))))) |
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* (pow y 2) (+ (* -1/5040 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* 1/120 (* (sqrt z) (sqrt -1))))))))) |
(* -1 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))) |
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* 1/3 z) (* (pow y 2) (+ (* -2/45 z) (* 1/315 (* (pow y 2) z)))))))) |
(* y (+ (* -1 z) (/ x y))) |
(* z (sin y)) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(* (sqrt z) (* (sin y) (sqrt -1))) |
(* -1 (* z (pow (sin y) 2))) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 z) |
(+ (* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) (* x (cos y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 y) (/ x z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (- (/ (* x (cos y)) z) (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(* -1 (* (sqrt z) (* (sin y) (sqrt -1)))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) z) |
(- (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* x (+ (cos y) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 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 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) y) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x y) #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)))) |
(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 (fma.f64 (*.f64 (*.f64 y y) x) #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 y y) x) #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) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 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)) |
(+ 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 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(* 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 (/.f64 #s(literal 1 binary64) x) y)) |
(* 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 (/.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (* y (* z (pow (sqrt -1) 2))))) |
(fma.f64 z y x) |
(+ x (* y (- (* -1/2 (* x y)) (* z (pow (sqrt -1) 2))))) |
(fma.f64 (fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2))))) |
(fma.f64 (fma.f64 #s(literal 1 binary64) z (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) y)) y x) |
(* y (* z (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1/6 (* (pow y 2) (* z (pow (sqrt -1) 2)))) (* z (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* z (pow (sqrt -1) 2)) (* (pow y 2) (+ (* -1/6 (* z (pow (sqrt -1) 2))) (* 1/120 (* (pow y 2) (* z (pow (sqrt -1) 2)))))))) |
(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 (+ (* z (pow (sqrt -1) 2)) (* (pow y 2) (+ (* -1/6 (* z (pow (sqrt -1) 2))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (* z (pow (sqrt -1) 2)))) (* 1/120 (* z (pow (sqrt -1) 2))))))))) |
(*.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) y) |
(* (* y (sqrt -1)) (sqrt z)) |
(*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal -1 binary64))) |
(* y (+ (* -1/6 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* (sqrt z) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) y) |
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* 1/120 (* (* (pow y 2) (sqrt -1)) (sqrt z))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/120 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y))))) |
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* (pow y 2) (+ (* -1/5040 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* 1/120 (* (sqrt z) (sqrt -1))))))))) |
(*.f64 (fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 z) (*.f64 (*.f64 #s(literal -1/5040 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y))))) y) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))) |
(*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64))) y) y) |
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 y y) (neg.f64 z)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* 1/3 z) (* (pow y 2) (+ (* -2/45 z) (* 1/315 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/315 binary64) (*.f64 y y) #s(literal -2/45 binary64))))) (*.f64 y y)) |
(* y (+ (* -1 z) (/ x y))) |
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* (sqrt z) (* (sin y) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sin.f64 y)) (sqrt.f64 z)) |
(* -1 (* z (pow (sin y) 2))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) (* x (cos y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* z (- (/ (* x (cos y)) z) (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (* 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 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) 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 (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(* -1 (* (sqrt z) (* (sin y) (sqrt -1)))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 160 |
| 0 | 52 | 151 |
| 1 | 178 | 144 |
| 2 | 1175 | 140 |
| 0 | 8643 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(cos.f64 y) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(*.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) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))) |
(sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 z))) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 z))) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) |
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(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x)) |
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(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) |
(-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (neg.f64 x) (cos.f64 y))) |
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(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) (sqrt.f64 (neg.f64 z)))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 x)) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x)) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))) |
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(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)) |
(-.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)))) |
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(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (sin.f64 y) (neg.f64 z))))) (fabs.f64 (sqrt.f64 (sin.f64 y)))) |
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(*.f64 (fabs.f64 (sqrt.f64 (neg.f64 z))) (fabs.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) |
(*.f64 (fabs.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (fabs.f64 (sqrt.f64 (neg.f64 z)))) |
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y))) |
(*.f64 (fabs.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (sqrt.f64 (neg.f64 z)))) (sqrt.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) (sqrt.f64 (sqrt.f64 (neg.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))) (sqrt.f64 z)) |
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(*.f64 (sqrt.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (sqrt.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
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(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z)))) |
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(*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/2 binary64))) |
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(neg.f64 z) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 z y)))) |
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(fma.f64 (neg.f64 z) y x) |
(fma.f64 z (neg.f64 y) x) |
(fma.f64 y (neg.f64 z) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 z y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 x (*.f64 z y)))) |
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(-.f64 x (*.f64 (neg.f64 z) (neg.f64 y))) |
(-.f64 x (*.f64 (neg.f64 y) (neg.f64 z))) |
(-.f64 x (*.f64 z y)) |
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(+.f64 (*.f64 (neg.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) |
(+.f64 x (*.f64 (neg.f64 y) z)) |
(+.f64 x (*.f64 (neg.f64 z) y)) |
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 z)))) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 z))) (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) (sqrt.f64 (neg.f64 z)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 x) (cos.f64 y))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 (cos.f64 y)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) (neg.f64 z))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))))) (sqrt.f64 (neg.f64 z)))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (sin.f64 y)))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z)))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 z))) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (sin.f64 y) (neg.f64 z))))) (fabs.f64 (sqrt.f64 (sin.f64 y)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z)))) (fabs.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))))) |
(*.f64 (fabs.f64 (sqrt.f64 (neg.f64 z))) (fabs.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) |
(*.f64 (fabs.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (fabs.f64 (sqrt.f64 (neg.f64 z)))) |
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y))) |
(*.f64 (fabs.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (sqrt.f64 (neg.f64 z)))) (sqrt.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) (sqrt.f64 (sqrt.f64 (neg.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 z))) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (sqrt.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 z))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (sqrt.f64 (neg.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) z) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 z)) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (sin.f64 y) (neg.f64 z)))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z)))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (sin.f64 y) z)))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 z)))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z)) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (neg.f64 z))) |
(*.f64 (fabs.f64 (sin.f64 y)) (neg.f64 z)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sqrt.f64 (neg.f64 z)) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) |
(*.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (fabs.f64 (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sin.f64 y) z)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (sin.f64 y) z)) |
(fabs.f64 (*.f64 (sin.f64 y) (neg.f64 z))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 z)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/2 binary64) (*.f64 (log.f64 (neg.f64 z)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z)))) |
(*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (fabs.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) |
(*.f64 (fabs.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) |
(*.f64 (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))))) |
(*.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fabs.f64 (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (sin.f64 y)) |
(*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))) |
(neg.f64 (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
Compiled 22 097 to 2 241 computations (89.9% saved)
33 alts after pruning (30 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 764 | 22 | 786 |
| Fresh | 5 | 8 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 771 | 33 | 804 |
| Status | Accuracy | Program |
|---|---|---|
| 61.7% | (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)))) | |
| 30.7% | (fma.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 30.5% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))) (sqrt.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 48.7% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 45.3% | (fma.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (*.f64 x (cos.f64 y))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 52.5% | (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z))) (sin.f64 y))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 43.0% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))) | |
| 43.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)))) | |
| ▶ | 34.1% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
| 54.5% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) | |
| ✓ | 78.2% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 53.7% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 53.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| 51.8% | (*.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))))) | |
| ▶ | 42.5% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y x)) |
| ▶ | 51.2% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
| 53.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| 40.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 (*.f64 z z)) y x)) | |
| ✓ | 54.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 31.1% | #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)))) | |
| 78.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)))) | |
| 72.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) | |
| 87.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| 38.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ▶ | 48.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
| 53.4% | #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)) | |
| 90.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) | |
| 29.2% | #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)) | |
| 64.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| 37.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) | |
| 14.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Compiled 1 499 to 953 computations (36.4% saved)
| 1× | egg-herbie |
Found 18 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 (cos.f64 y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (fma.f64 z y x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y x)) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 271 |
| 0 | 76 | 269 |
| 1 | 128 | 266 |
| 2 | 237 | 266 |
| 3 | 499 | 266 |
| 4 | 1015 | 266 |
| 5 | 1936 | 264 |
| 6 | 3725 | 264 |
| 7 | 7634 | 264 |
| 0 | 8099 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) |
#s(literal -1/2 binary64) |
y |
(/.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
#s(literal 1 binary64) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
(-.f64 (*.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 |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) |
#s(literal -1/2 binary64) |
y |
(/.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
#s(literal 1 binary64) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) 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)) |
(*.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 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| accuracy | 0.0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) | |
| accuracy | 0.0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fma.f64 z y x) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y x)) | |
| accuracy | 0.0 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | (cos.f64 y) |
| 100.0ms | 256× | 0 | invalid |
Compiled 218 to 44 computations (79.8% saved)
ival-mult: 23.0ms (31.2% of total)ival-sqrt: 20.0ms (27.1% of total)ival-add: 6.0ms (8.1% of total)ival-sin: 6.0ms (8.1% of total)ival-div: 5.0ms (6.8% of total)ival-cos: 5.0ms (6.8% of total)ival-sub: 3.0ms (4.1% of total)ival-pow2: 2.0ms (2.7% of total)ival-neg: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(neg.f64 z) |
(*.f64 (cos.f64 y) x) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(-.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)) |
(sqrt.f64 z) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(- (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* y z) |
(+ x (* y z)) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* -1 (/ (* y z) x)) |
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ x (* -1 (* y (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* -1/2 (* x y)) (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2))))) |
(+ 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))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ x z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(/ 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 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* y (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)))))))) |
(* y (+ z (/ x y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (cos y) z) |
(* (sqrt z) (sin y)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2)) |
(* -1 z) |
(+ (* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) (* x (cos y))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(sqrt z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (* (sin y) (pow (sqrt -1) 2)))) |
(* z (+ y (/ x z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x)))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (* (sin y) (pow (sqrt -1) 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* z y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (* (+ (* (/ (cos y) z) x) (sin y)) z) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (sqrt z) (sqrt (* (pow (sin y) 2) z))) |
| 6.0ms | z | @ | -inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* z y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (* (+ (* (/ (cos y) z) x) (sin y)) z) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (sqrt z) (sqrt (* (pow (sin y) 2) z))) |
| 5.0ms | y | @ | 0 | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* z y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (* (+ (* (/ (cos y) z) x) (sin y)) z) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (sqrt z) (sqrt (* (pow (sin y) 2) z))) |
| 4.0ms | z | @ | inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* z y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (* (+ (* (/ (cos y) z) x) (sin y)) z) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (sqrt z) (sqrt (* (pow (sin y) 2) z))) |
| 4.0ms | y | @ | -inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* z y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (* (+ (* (/ (cos y) z) x) (sin y)) z) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z)) (sqrt z) (sqrt (* (pow (sin y) 2) z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 1139 |
| 1 | 1140 | 1039 |
| 2 | 4127 | 1008 |
| 0 | 8142 | 934 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(- (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* y z) |
(+ x (* y z)) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* -1 (/ (* y z) x)) |
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(+ x (* -1 (* y (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* -1/2 (* x y)) (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2))))) |
(+ 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))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ x z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(/ 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 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* y (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)))))))) |
(* y (+ z (/ x y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (cos y) z) |
(* (sqrt z) (sin y)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2)) |
(* -1 z) |
(+ (* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) (* x (cos y))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(sqrt z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (* (sin y) (pow (sqrt -1) 2)))) |
(* z (+ y (/ x z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x)))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt z) (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)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) z) |
(- (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* y z) |
(*.f64 z y) |
(+ x (* y z)) |
(fma.f64 z y x) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(* -1 (/ (* y z) x)) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(* x (+ (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) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 (*.f64 x y) (/.f64 z x) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(/ (* x (cos y)) z) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z 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) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(+ x (* -1 (* y (* z (pow (sqrt -1) 2))))) |
(fma.f64 z y x) |
(+ x (* y (- (* -1/2 (* x y)) (* z (pow (sqrt -1) 2))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(+ x (* 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)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(/ x z) |
(/.f64 x z) |
(+ y (/ x z)) |
(+.f64 (/.f64 x z) y) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) z) (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(+ 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 (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 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 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (+ (sqrt z) (* -1/6 (* (pow y 2) (sqrt z))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 (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))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z))) y) |
(* y (+ z (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) x) y) #s(literal 1/2 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(* (sqrt z) (sin y)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) (* x (cos y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(sqrt z) |
(sqrt.f64 z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.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)) (sin y)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* -1 (* 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 (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (* (sin y) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 222 |
| 0 | 76 | 211 |
| 1 | 265 | 196 |
| 2 | 1785 | 177 |
| 0 | 9752 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(neg.f64 z) |
(*.f64 (cos.f64 y) x) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(-.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)) |
(sqrt.f64 z) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (sin.f64 y))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (sin.f64 y)))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x)) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (neg.f64 (*.f64 x (cos.f64 y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (neg.f64 (*.f64 x (cos.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
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(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y))))) (sqrt.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x)) |
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(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
(pow.f64 (exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (log.f64 z))) #s(literal 1/2 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 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (log.f64 (sin.f64 y)))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (log.f64 z)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (log.f64 z)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (log.f64 z)) #s(literal 1/2 binary64)))) |
Compiled 17 724 to 1 847 computations (89.6% saved)
37 alts after pruning (32 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 17 | 558 |
| Fresh | 10 | 15 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 554 | 37 | 591 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 40.4% | (fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 71.4% | (fma.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 z) (*.f64 (cos.f64 y) x)) | |
| 61.7% | (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)))) | |
| 30.7% | (fma.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 48.7% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 45.3% | (fma.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (*.f64 x (cos.f64 y))) | |
| 47.0% | (fma.f64 (sqrt.f64 z) (neg.f64 (*.f64 (sqrt.f64 z) (sin.f64 y))) (*.f64 x (cos.f64 y))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 52.5% | (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z))) (sin.f64 y))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 43.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)))) | |
| ✓ | 78.2% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 53.7% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 53.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| 38.0% | #s(approx (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ✓ | 42.5% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y x)) |
| 42.5% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+.f64 (*.f64 z y) x)) | |
| 51.4% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))) z)) | |
| 51.3% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) | |
| 30.5% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) | |
| ▶ | 52.1% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
| 33.3% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) | |
| 42.3% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) | |
| 25.7% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| 42.5% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64))))) | |
| 3.3% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| ✓ | 54.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 31.1% | #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)))) | |
| 78.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)))) | |
| 72.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) | |
| ▶ | 90.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) |
| 29.2% | #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)) | |
| 64.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| 2.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)) | |
| ▶ | 10.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
| ▶ | 43.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| 14.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Compiled 1 859 to 1 200 computations (35.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (sqrt.f64 (sin.f64 y)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 z) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 3 | (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (cos.f64 y) x) z) | |
| cost-diff | 0 | #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z 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 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 424 |
| 0 | 81 | 421 |
| 1 | 138 | 409 |
| 2 | 252 | 409 |
| 3 | 562 | 405 |
| 4 | 1191 | 405 |
| 5 | 1963 | 405 |
| 6 | 3687 | 405 |
| 7 | 6438 | 405 |
| 0 | 8197 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#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)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(neg.f64 y) |
y |
(/.f64 z x) |
z |
x |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
(*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z) |
#s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) |
(sqrt.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(neg.f64 z) |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#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)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.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)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (/.f64 (neg.f64 z) x) y))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (/.f64 (neg.f64 z) x) y))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (/.f64 (neg.f64 z) x) y))) |
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))) |
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (/.f64 (neg.f64 z) x) y)) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 (neg.f64 z) x) y) |
(neg.f64 y) |
y |
(/.f64 z x) |
z |
x |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 (cos.f64 y) z) x)) z)) |
(*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z) |
(*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 (cos.f64 y) z) x)) z) |
#s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) |
#s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 (cos.f64 y) z) x)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (/.f64 (cos.f64 y) z) x) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) |
(sin.f64 y) |
(sqrt.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(neg.f64 z) |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 z) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.01171875 | (sqrt.f64 (sin.f64 y)) | |
| accuracy | 0.015625 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.11328125 | (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.01953125 | (/.f64 (*.f64 (cos.f64 y) x) z) | |
| accuracy | 1.4168628572488549 | (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z) | |
| accuracy | 4.549974685123157 | #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) | |
| accuracy | 0.4894812100332964 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x) | |
| accuracy | 0.9614566376488621 | (*.f64 (neg.f64 y) (/.f64 z x)) | |
| accuracy | 5.607908773497975 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) | |
| accuracy | 11.897814600739883 | #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z 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 | 0.4894812100332964 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x) | |
| accuracy | 8.01309630781887 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 (cos.f64 y) z) | |
| accuracy | 0.04296875 | (/.f64 (sin.f64 y) x) | |
| accuracy | 0.0859375 | (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) | |
| accuracy | 0.4894812100332964 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) |
| 147.0ms | 195× | 0 | invalid |
| 19.0ms | 61× | 0 | valid |
Compiled 246 to 44 computations (82.1% saved)
ival-add: 30.0ms (32.4% of total)ival-mult: 22.0ms (23.8% of total)ival-sqrt: 11.0ms (11.9% of total)ival-div: 9.0ms (9.7% of total)ival-cos: 6.0ms (6.5% of total)ival-sin: 5.0ms (5.4% of total)ival-sub: 3.0ms (3.2% of total)ival-pow2: 2.0ms (2.2% of total)ival-neg: 2.0ms (2.2% 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 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.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)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
(*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z) |
#s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(sqrt.f64 (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) x) |
(/.f64 (cos.f64 y) z) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (cos.f64 y) x) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* -1 (/ (* y z) x)) |
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(- (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(/ (* x (cos y)) z) |
(/ (sin y) x) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))) |
(* x (+ (cos y) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
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))))) |
(+ x (* -1 (* y (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* -1/2 (* x y)) (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2))))) |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ x z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(+ (* -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)) |
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)))) |
(sqrt y) |
(+ (sqrt y) (* -1/12 (sqrt (pow y 5)))) |
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3)))))) |
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y)))))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ 1 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)) |
(+ 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)))))) |
(* z (- (/ (cos y) z) (/ (sin y) x))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(sqrt (sin y)) |
(/ (cos y) z) |
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2)) |
(+ (* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) (* x (cos y))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (- (/ (* x (cos y)) z) (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | y | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin 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)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (/ (* (cos y) x) z) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) (neg z)) (* (cos y) x)) (sqrt (sin y)) (sin y) (/ (sin y) x) (/ (cos y) z) (* (neg y) (/ z x)) (* (cos y) x)) |
| 47.0ms | z | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin 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)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (/ (* (cos y) x) z) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) (neg z)) (* (cos y) x)) (sqrt (sin y)) (sin y) (/ (sin y) x) (/ (cos y) z) (* (neg y) (/ z x)) (* (cos y) x)) |
| 4.0ms | x | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin 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)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (/ (* (cos y) x) z) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) (neg z)) (* (cos y) x)) (sqrt (sin y)) (sin y) (/ (sin y) x) (/ (cos y) z) (* (neg y) (/ z x)) (* (cos y) x)) |
| 3.0ms | y | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin 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)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (/ (* (cos y) x) z) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) (neg z)) (* (cos y) x)) (sqrt (sin y)) (sin y) (/ (sin y) x) (/ (cos y) z) (* (neg y) (/ z x)) (* (cos y) x)) |
| 3.0ms | x | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin 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)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (/ (* (cos y) x) z) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) (neg z)) (* (cos y) x)) (sqrt (sin y)) (sin y) (/ (sin y) x) (/ (cos y) z) (* (neg y) (/ z x)) (* (cos y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 1088 |
| 1 | 1044 | 954 |
| 2 | 3751 | 923 |
| 0 | 8132 | 845 |
| 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 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* -1 (/ (* y z) x)) |
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(- (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(/ (* x (cos y)) z) |
(/ (sin y) x) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))) |
(* x (+ (cos y) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
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))))) |
(+ x (* -1 (* y (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* -1/2 (* x y)) (* z (pow (sqrt -1) 2))))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2))))) |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ x z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(+ (* -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)) |
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)))) |
(sqrt y) |
(+ (sqrt y) (* -1/12 (sqrt (pow y 5)))) |
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3)))))) |
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y)))))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ 1 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)) |
(+ 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)))))) |
(* z (- (/ (cos y) z) (/ (sin y) x))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(sqrt (sin y)) |
(/ (cos y) z) |
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2)) |
(+ (* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) (* x (cos y))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (- (/ (* x (cos y)) z) (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) 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 (/ (* z (sin y)) x)) |
(*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (/ (* y z) x)) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x) x) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) z) |
(- (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/ (* x (cos y)) z) |
(*.f64 (/.f64 (cos.f64 y) z) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) 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)) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(* x (+ (cos y) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (cos.f64 y) z) x (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 (+ (* -1 (cos y)) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
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) |
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)) |
(+ x (* -1 (* y (* z (pow (sqrt -1) 2))))) |
(fma.f64 z y x) |
(+ x (* y (- (* -1/2 (* x y)) (* z (pow (sqrt -1) 2))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(/ x z) |
(/.f64 x z) |
(+ y (/ x z)) |
(+.f64 (/.f64 x z) y) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 x z) y) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
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) |
(sqrt y) |
(sqrt.f64 y) |
(+ (sqrt y) (* -1/12 (sqrt (pow y 5)))) |
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) #s(literal -1/12 binary64) (sqrt.f64 y)) |
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3)))))) |
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 y)) |
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y)))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/1440 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 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 (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) (pow.f64 y #s(literal 3 binary64)) (/.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 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/5040 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x)) (pow.f64 y #s(literal 3 binary64)) (/.f64 y x)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #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)) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(* z (- (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) x) y) #s(literal 1/2 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) (*.f64 y y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sqrt (sin y)) |
(sqrt.f64 (sin.f64 y)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y)) |
(+ (* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) (* x (cos y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(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) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* 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)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x) x) |
(* z (- (/ (* x (cos y)) z) (* (sin y) (pow (sqrt -1) 2)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 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)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x) x) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 381 |
| 0 | 81 | 376 |
| 1 | 267 | 360 |
| 2 | 1799 | 357 |
| 0 | 9139 | 345 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.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)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
(*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z) |
#s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(sqrt.f64 (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) x) |
(/.f64 (cos.f64 y) z) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (cos.f64 y) x) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x) |
(*.f64 x #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) |
(*.f64 (/.f64 (fma.f64 (fabs.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) (/.f64 z z)) |
(*.f64 (/.f64 z z) (/.f64 (fma.f64 (fabs.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x)) |
(*.f64 (/.f64 (fma.f64 (fabs.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) z) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 (fma.f64 (fabs.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) z)) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64))) z)) (neg.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fabs.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) z)) (neg.f64 (*.f64 z x))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 (fabs.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) (neg.f64 (*.f64 z x))) |
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(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (fabs.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (cos.f64 y) x)) (fma.f64 (fabs.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 z) (sin.f64 y))) (*.f64 (fabs.f64 z) (sin.f64 y))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (*.f64 (fabs.f64 z) (sin.f64 y)) (*.f64 (sin.f64 y) z)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) |
(+.f64 (*.f64 (fabs.f64 z) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x)) |
(+.f64 (*.f64 (fabs.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (fabs.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (sin.f64 y))))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sin.f64 y))) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) |
(sqrt.f64 (sin.f64 y)) |
(fabs.f64 (neg.f64 (sqrt.f64 (sin.f64 y)))) |
(fabs.f64 (sqrt.f64 (sin.f64 y))) |
(exp.f64 (/.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (sin.f64 y)))) (sinh.f64 (log.f64 (sqrt.f64 (sin.f64 y))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 y))))) |
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (sin.f64 y)))) |
(pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sin.f64 y))) (cosh.f64 (log.f64 (sin.f64 y))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sin.f64 y))) (sinh.f64 (log.f64 (sin.f64 y)))) (*.f64 (cosh.f64 (log.f64 (sin.f64 y))) (sinh.f64 (log.f64 (sin.f64 y))))))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) |
(sin.f64 y) |
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (sin.f64 y))) |
(fabs.f64 (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (sin.f64 y))) |
(+.f64 (cosh.f64 (log.f64 (sin.f64 y))) (sinh.f64 (log.f64 (sin.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(/.f64 (sin.f64 y) x) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x)) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (sin.f64 y))) x) (/.f64 (sinh.f64 (log.f64 (sin.f64 y))) x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) |
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z)) |
(/.f64 (cos.f64 y) z) |
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z))) |
(+.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) z) (/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) z)) |
(*.f64 (/.f64 z x) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 y (/.f64 (neg.f64 z) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (neg.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (neg.f64 z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) z) x) |
(neg.f64 (*.f64 (/.f64 z x) y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
Compiled 9 253 to 1 092 computations (88.2% saved)
38 alts after pruning (29 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 5 | 315 |
| Fresh | 3 | 24 | 27 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 314 | 38 | 352 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 40.4% | (fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 71.4% | (fma.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 z) (*.f64 (cos.f64 y) x)) | |
| 61.7% | (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)))) | |
| 52.5% | (fma.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (sin.f64 y)) (sqrt.f64 (neg.f64 z)) (*.f64 (cos.f64 y) x)) | |
| 30.7% | (fma.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 48.7% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 47.0% | (fma.f64 (sqrt.f64 z) (neg.f64 (*.f64 (sqrt.f64 z) (sin.f64 y))) (*.f64 x (cos.f64 y))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 52.5% | (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z))) (sin.f64 y))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 43.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)))) | |
| ✓ | 78.2% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 53.7% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 53.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| 38.0% | #s(approx (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ✓ | 42.5% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y x)) |
| 42.5% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+.f64 (*.f64 z y) x)) | |
| 51.4% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))) z)) | |
| 30.5% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) | |
| 31.6% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)) z)) z)) | |
| 33.3% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) | |
| 52.1% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 x z) (cos.f64 y))) z)) | |
| 42.3% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) | |
| 25.7% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| 42.5% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64))))) | |
| 3.3% | #s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| ✓ | 54.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 31.1% | #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)))) | |
| 78.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)))) | |
| 72.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) | |
| 25.8% | #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)) | |
| ✓ | 90.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) |
| 69.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) z)) x)) | |
| 64.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| 2.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)) | |
| ✓ | 10.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)) |
| ✓ | 43.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
| 14.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Compiled 2 633 to 986 computations (62.6% 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+.f64 (*.f64 z y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 (*.f64 z z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 x z) (cos.f64 y))) z)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) z)) x)) |
(fma.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)) |
(fma.f64 (sqrt.f64 z) (neg.f64 (*.f64 (sqrt.f64 z) (sin.f64 y))) (*.f64 x (cos.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z))) (sin.f64 y))) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (sin.f64 y)) (sqrt.f64 (neg.f64 z)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))) (sqrt.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))) (*.f64 x (cos.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 z) (*.f64 (cos.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))) |
(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 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))) z)) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (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 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(-.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (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))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
4 calls:
| 85.0ms | z |
| 18.0ms | x |
| 16.0ms | y |
| 16.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+.f64 (*.f64 z y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 (*.f64 z z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 x z) (cos.f64 y))) z)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) z)) x)) |
(fma.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 60.0ms | x |
| 9.0ms | z |
| 9.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+.f64 (*.f64 z y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 (*.f64 z z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 x z) (cos.f64 y))) z)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) z)) x)) |
(fma.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 #s(approx (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)) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
4 calls:
| 12.0ms | z |
| 11.0ms | x |
| 9.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 89.2% | 3 | x |
| 81.4% | 3 | y |
| 88.1% | 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+.f64 (*.f64 z y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 (*.f64 z z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (*.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))) |
4 calls:
| 34.0ms | z |
| 7.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 3 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 82.3% | 5 | y |
| 80.9% | 3 | z |
| 79.3% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+.f64 (*.f64 z y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 (*.f64 z z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (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)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
3 calls:
| 17.0ms | z |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 3 | y |
| 71.0% | 3 | x |
| 72.3% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (+.f64 (*.f64 z y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 (*.f64 z z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
4 calls:
| 19.0ms | z |
| 6.0ms | x |
| 6.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 54.6% | 1 | x |
| 54.6% | 1 | z |
| 54.6% | 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y 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:
| 30.0ms | z |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.2% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 43.2% | 1 | y |
| 43.2% | 1 | x |
| 48.0% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
Total -26.1b remaining (-71.7%)
Threshold costs -26.1b (-71.7%)
| 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)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z)))) (fma.f64 z y 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)) |
1 calls:
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.2% | 1 | z |
Compiled 1 to 3 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 3071.512685979141 | 5049.635206384121 |
| 17.0ms | -3.250357359785255e-16 | -2.675089607199647e-17 |
| 19.0ms | 160× | 0 | valid |
Compiled 372 to 294 computations (21% saved)
ival-cos: 8.0ms (54.2% of total)ival-sin: 3.0ms (20.3% of total)ival-mult: 2.0ms (13.5% of total)ival-sub: 1.0ms (6.8% 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 |
|---|---|---|
| 14.0ms | 1.85689268340441e+90 | 1.0549148256416529e+92 |
| 19.0ms | -7.545701383366424e+135 | -1.889559819066506e+132 |
| 23.0ms | 240× | 0 | valid |
Compiled 612 to 464 computations (24.2% saved)
ival-cos: 5.0ms (34.7% of total)ival-sin: 5.0ms (34.7% of total)ival-mult: 3.0ms (20.8% of total)ival-sub: 1.0ms (6.9% 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× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 5.458959299601265e-14 | 5.137258307722735e-9 |
| 23.0ms | -163.25881908813497 | -0.1798765215745349 |
| 22.0ms | 192× | 0 | valid |
Compiled 636 to 446 computations (29.9% saved)
ival-mult: 11.0ms (66.1% of total)ival-cos: 2.0ms (12% of total)ival-sin: 2.0ms (12% of total)ival-sub: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 2.7394105201662395e+145 | 2.956149261818801e+163 |
| 16.0ms | -3.340220262321546e+266 | -1.0906741073210349e+263 |
| 55.0ms | 288× | 0 | valid |
Compiled 822 to 608 computations (26% saved)
ival-mult: 33.0ms (69.3% of total)ival-cos: 6.0ms (12.6% of total)ival-sin: 6.0ms (12.6% 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 | 72 | 266 |
| 1 | 123 | 260 |
| 2 | 172 | 260 |
| 3 | 232 | 260 |
| 4 | 298 | 260 |
| 5 | 432 | 260 |
| 6 | 784 | 260 |
| 7 | 1688 | 260 |
| 8 | 3733 | 260 |
| 9 | 7134 | 260 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -6490371073168535/20282409603651670423947251286016 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 5000 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 -120000000000000002682140683137223192021180911611685114725746037146803178322908123151714442142117207140121830850051499444435022539390976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 3900000000000000219830497242340661183644449908613523001793536069628602337532449336133156864 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 -5764607523034235/18014398509481984 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 4835703278458517/2417851639229258349412352 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(if (<=.f64 z #s(literal -114999999999999998363916567940389062332282526243956575311838091450099418961707941087409995529975933379313265568270699777354533018166241783152079729394341267967451796669066706642042824125425822300662117606998112993644546809324995827124783624590034740191939306455040 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 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 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 |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -6490371073168535/20282409603651670423947251286016 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 5000 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
(if (or (<=.f64 x #s(literal -6490371073168535/20282409603651670423947251286016 binary64)) (not (<=.f64 x #s(literal 5000 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 -120000000000000002682140683137223192021180911611685114725746037146803178322908123151714442142117207140121830850051499444435022539390976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 3900000000000000219830497242340661183644449908613523001793536069628602337532449336133156864 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 -120000000000000002682140683137223192021180911611685114725746037146803178322908123151714442142117207140121830850051499444435022539390976 binary64)) (not (<=.f64 z #s(literal 3900000000000000219830497242340661183644449908613523001793536069628602337532449336133156864 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 -5764607523034235/18014398509481984 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 4835703278458517/2417851639229258349412352 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
(if (or (<=.f64 y #s(literal -5764607523034235/18014398509481984 binary64)) (not (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 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))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(if (<=.f64 z #s(literal -114999999999999998363916567940389062332282526243956575311838091450099418961707941087409995529975933379313265568270699777354533018166241783152079729394341267967451796669066706642042824125425822300662117606998112993644546809324995827124783624590034740191939306455040 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 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 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 -114999999999999998363916567940389062332282526243956575311838091450099418961707941087409995529975933379313265568270699777354533018166241783152079729394341267967451796669066706642042824125425822300662117606998112993644546809324995827124783624590034740191939306455040 binary64)) (not (<=.f64 z #s(literal 4599999999999999873943248111514230592410193898829367587056561357690877874847715344286168313606597830460212383111502303197778498047998879191446108414787344127754240 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 1139 |
| 1 | 1140 | 1039 |
| 2 | 4127 | 1008 |
| 0 | 8142 | 934 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 38 | 19 |
| 2 | 239 | 19 |
| 3 | 2445 | 19 |
| 0 | 8361 | 19 |
| 0 | 292 | 1015 |
| 1 | 1113 | 933 |
| 2 | 4560 | 920 |
| 0 | 8309 | 856 |
| 0 | 97 | 265 |
| 1 | 344 | 258 |
| 2 | 1199 | 252 |
| 3 | 4495 | 246 |
| 0 | 8267 | 227 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 266 to 76 computations (71.4% saved)
Compiled 550 to 168 computations (69.5% saved)
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