
Time bar (total: 5.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 639.0ms | 8 256× | 0 | valid |
ival-cos: 171.0ms (36.6% of total)ival-sin: 153.0ms (32.8% of total)ival-mult: 101.0ms (21.6% of total)ival-sub: 33.0ms (7.1% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 43.0ms | 512× | 0 | valid |
Compiled 109 to 44 computations (59.6% saved)
ival-sin: 10.0ms (35.5% of total)ival-cos: 9.0ms (32% of total)ival-mult: 6.0ms (21.3% of total)ival-sub: 2.0ms (7.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 90 | 84 |
| 2 | 169 | 84 |
| 3 | 375 | 84 |
| 4 | 665 | 84 |
| 5 | 872 | 84 |
| 6 | 1052 | 84 |
| 7 | 1105 | 84 |
| 8 | 1113 | 84 |
| 9 | 1117 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 20 | 9 |
| 2 | 32 | 9 |
| 3 | 44 | 9 |
| 4 | 65 | 9 |
| 5 | 95 | 9 |
| 6 | 153 | 9 |
| 7 | 223 | 9 |
| 8 | 282 | 9 |
| 9 | 311 | 9 |
| 10 | 327 | 9 |
| 0 | 327 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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 (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 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 | 20 | 24 |
| 2 | 32 | 24 |
| 3 | 44 | 24 |
| 4 | 65 | 24 |
| 5 | 95 | 24 |
| 6 | 153 | 24 |
| 7 | 223 | 24 |
| 8 | 282 | 24 |
| 9 | 311 | 24 |
| 10 | 327 | 24 |
| 0 | 327 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 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 (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.09375 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.12109375 | (*.f64 z (sin.f64 y)) |
| 21.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-cos: 5.0ms (36.7% of total)ival-sin: 4.0ms (29.4% of total)ival-mult: 3.0ms (22% of total)ival-sub: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (sin y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | 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 | 255 |
| 1 | 292 | 250 |
| 2 | 840 | 244 |
| 3 | 2074 | 238 |
| 4 | 3607 | 238 |
| 5 | 6263 | 238 |
| 0 | 8477 | 217 |
| 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)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(+ x (* -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)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ 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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) 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 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y 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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z))) |
(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))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1964 | 19 |
| 0 | 8379 | 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 (pow.f64 (/.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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.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 (/.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 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 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 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)))) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 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)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.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))) (/.f64 #s(literal 1 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)))))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 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))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(+.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)))) (neg.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)))))) |
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x))) |
(*.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 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(cos.f64 y) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.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 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
Compiled 12 098 to 741 computations (93.9% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 239 | 11 | 250 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 239 | 12 | 251 |
| Status | Accuracy | Program |
|---|---|---|
| 80.5% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 67.4% | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 58.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 68.1% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ▶ | 83.4% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 57.8% | #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)) |
| 57.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| ▶ | 58.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 45.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 409 to 292 computations (28.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) | |
| cost-diff | 0 | (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) | |
| cost-diff | 0 | #s(approx (- (* 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)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (-.f64 x (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| 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 | 33 | 208 |
| 0 | 56 | 204 |
| 1 | 88 | 204 |
| 2 | 132 | 204 |
| 3 | 284 | 204 |
| 4 | 549 | 204 |
| 5 | 918 | 204 |
| 6 | 1736 | 204 |
| 7 | 2940 | 204 |
| 8 | 3598 | 204 |
| 9 | 3819 | 204 |
| 10 | 4029 | 204 |
| 11 | 4092 | 204 |
| 12 | 4124 | 204 |
| 13 | 4432 | 204 |
| 14 | 4568 | 204 |
| 15 | 4568 | 204 |
| 16 | 4616 | 204 |
| 17 | 4627 | 204 |
| 18 | 4627 | 204 |
| 19 | 4627 | 204 |
| 20 | 4627 | 204 |
| 21 | 4639 | 204 |
| 0 | 4639 | 204 |
| 1× | iter limit |
| 1× | saturated |
| 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)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#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)) |
(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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
| 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)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(-.f64 x (*.f64 z y)) |
(fma.f64 (neg.f64 z) y x) |
x |
(*.f64 z y) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
(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) |
(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) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0703125 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.09375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.171875 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.09375 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.12109375 | (*.f64 z (sin.f64 y)) | |
| accuracy | 24.626941502786497 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (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) | |
| accuracy | 0.08203125 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) | |
| accuracy | 0.15625 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 26.99752963591474 | #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)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (-.f64 x (*.f64 z y)) | |
| accuracy | 26.37415696469777 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0703125 | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.09375 | (*.f64 (cos.f64 y) x) |
| 58.0ms | 256× | 0 | valid |
Compiled 399 to 64 computations (84% saved)
ival-mult: 14.0ms (34.3% of total)ival-sin: 5.0ms (12.2% of total)ival-add: 4.0ms (9.8% of total)ival-cos: 4.0ms (9.8% of total)ival-pow: 4.0ms (9.8% of total)ival-sub: 3.0ms (7.3% of total)const: 3.0ms (7.3% of total)ival-div: 2.0ms (4.9% of total)ival-neg: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(neg.f64 z) |
(*.f64 (cos.f64 y) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
#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)) |
(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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) |
(-.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 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(cos.f64 y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(* 1/6 (* (pow y 2) z)) |
(+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* -1/2 (* x y)) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1/2 x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1/6 (/ (* (pow y 2) z) x)) (* 1/2 y)))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) 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 (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* y z) |
(* -1 z) |
(- (* -1/2 (* x y)) z) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
(* y (+ (* -1/2 x) (* 1/6 (* y z)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(sin y) |
(* y (- (/ x y) z)) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(cos y) |
(* z (sin y)) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ x z) y)) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(* z (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2)))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (cos y) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 3.0ms | x | @ | 0 | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (cos y) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 2.0ms | z | @ | -inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (cos y) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 2.0ms | z | @ | inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (cos y) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 2.0ms | y | @ | inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (cos y) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 457 | 1906 |
| 1 | 1531 | 1830 |
| 2 | 5265 | 1795 |
| 0 | 8411 | 1685 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(* 1/6 (* (pow y 2) z)) |
(+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* -1/2 (* x y)) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1/2 x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1/6 (/ (* (pow y 2) z) x)) (* 1/2 y)))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) 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 (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* y z) |
(* -1 z) |
(- (* -1/2 (* x y)) z) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
(* y (+ (* -1/2 x) (* 1/6 (* y z)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(sin y) |
(* y (- (/ x y) z)) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(cos y) |
(* z (sin y)) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ x z) y)) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(* z (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2)))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.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 z) y) |
(- x (* y z)) |
(-.f64 x (*.f64 z y)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(- (* 1/6 (* (pow y 2) z)) z) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) |
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(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y (/.f64 x z))) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) z) |
(* z (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) z) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(*.f64 (neg.f64 z) (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) z) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) z) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 170 |
| 0 | 56 | 166 |
| 1 | 203 | 166 |
| 2 | 1282 | 166 |
| 0 | 8251 | 166 |
| 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)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
#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)) |
(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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) |
(-.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 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(cos.f64 y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.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))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (neg.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)))) (/.f64 #s(literal 1 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 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.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))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 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))) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (pow.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))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) |
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(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
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(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))) |
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(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(exp.f64 (log.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
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(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
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(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z y x)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (fma.f64 z y x) (fma.f64 z y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (neg.f64 z) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z y x))) |
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 x (*.f64 (neg.f64 z) y))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 z) y))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (neg.f64 z) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 z) y)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)) #s(literal 1 binary64))) |
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(fma.f64 (neg.f64 y) z x) |
(fma.f64 #s(literal -1 binary64) (*.f64 z y) x) |
(fma.f64 (neg.f64 z) y x) |
(fma.f64 z (neg.f64 y) x) |
(fma.f64 y (neg.f64 z) x) |
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(-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))) |
(-.f64 x (*.f64 z y)) |
(+.f64 (*.f64 (neg.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 z) y)) |
(*.f64 z y) |
(*.f64 y z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
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(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(exp.f64 (log.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(cos.f64 y) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) x))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 6 binary64)) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 6 binary64)) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/10077696 binary64) (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) x))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) |
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) |
Compiled 22 210 to 2 340 computations (89.5% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 21 | 579 |
| Fresh | 1 | 5 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 562 | 29 | 591 |
| Status | Accuracy | Program |
|---|---|---|
| 80.5% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 74.4% | (fma.f64 (sin.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (*.f64 (cos.f64 y) x)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 67.4% | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| 50.7% | (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 58.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
| 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) | |
| 39.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 40.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 68.1% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ✓ | 83.4% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 57.8% | (-.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))) | |
| 57.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) | |
| 57.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| 58.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) | |
| 58.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| ▶ | 58.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
| 38.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| ▶ | 57.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) |
| ▶ | 87.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
| 45.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 46.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| 57.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) | |
| ▶ | 22.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
| 38.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| 91.6% | #s(approx (+ (* (sin y) (neg z)) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
Compiled 1 251 to 888 computations (29% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) | |
| cost-diff | 0 | #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 355 |
| 0 | 77 | 341 |
| 1 | 124 | 341 |
| 2 | 211 | 341 |
| 3 | 480 | 341 |
| 4 | 1059 | 339 |
| 5 | 2278 | 339 |
| 6 | 4325 | 339 |
| 7 | 6033 | 339 |
| 8 | 7224 | 339 |
| 9 | 7858 | 339 |
| 0 | 8009 | 339 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x) |
#s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
z |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (cos.f64 y)) x (*.f64 (sin.f64 y) z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 z) y) |
(*.f64 y (neg.f64 z)) |
(neg.f64 z) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x) |
#s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
z |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) y (neg.f64 z)) y x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (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)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) y (neg.f64 z)) y x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y))) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| accuracy | 0.09765625 | (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) | |
| accuracy | 0.125 | (/.f64 (cos.f64 y) z) | |
| accuracy | 8.122608499010662 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) | |
| accuracy | 0.15625 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 0.18636955914088374 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) | |
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) | |
| accuracy | 26.99752963591474 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))) | |
| accuracy | 0.2678956579306501 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) | |
| accuracy | 3.3218454441457466 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) | |
| accuracy | 15.759603915014171 | #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) | |
| accuracy | 26.99752963591474 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) | |
| accuracy | 0 | (*.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 26.37415696469777 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) | |
| accuracy | 29.914119528542713 | #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) | |
| accuracy | 0.0703125 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) | |
| accuracy | 0.09375 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
| 88.0ms | 256× | 0 | valid |
Compiled 646 to 93 computations (85.6% saved)
ival-mult: 25.0ms (39.1% of total)ival-add: 9.0ms (14.1% of total)ival-div: 8.0ms (12.5% of total)ival-sin: 6.0ms (9.4% of total)ival-cos: 5.0ms (7.8% of total)ival-sub: 4.0ms (6.3% of total)const: 4.0ms (6.3% of total)ival-neg: 3.0ms (4.7% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x) |
#s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/.f64 (cos.f64 y) z) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ (* x (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))) (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (* x (- (/ (* x (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(* x (cos y)) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* -1/2 (* x y)) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(/ 1 (* x (+ 1 (* -1/2 (pow y 2))))) |
(/ (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x) |
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) (pow (- (* 1/6 (* (pow y 2) z)) z) 3)) (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))))) x) |
(/ (* x (cos y)) z) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1/2 x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(/ -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (- (* 1/2 (pow y 2)) 1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* x (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (- (* 1/6 (* (pow y 2) z)) z) 3)) (* x (pow (- (* 1/2 (pow y 2)) 1) 4))) (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (pow (- (* 1/2 (pow y 2)) 1) 3)))) x)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) 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))))))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 z) |
(- (* -1/2 (* x y)) z) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ 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 |
(- (* 1/6 (pow y 2)) 1) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* y (- (/ x y) z)) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(/ 6 (* (pow y 3) z)) |
(/ (+ (* 18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 3)) |
(/ (- (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z)))) (+ (* -54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -18 (/ x (* y (pow z 2)))))) (pow y 3)) |
(/ (- (+ (* -1 (/ (+ (* -108 (/ x (pow z 2))) (+ (* -3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) z)) (* 36 (/ x (pow z 2))))) (pow y 3))) (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z))))) (+ (* -54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -18 (/ x (* y (pow z 2)))))) (pow y 3)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(/ (cos y) z) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(* -1 (/ (- (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (/ (- (* -1 (/ (- (+ (* 54 (/ (pow x 2) (* y (pow z 3)))) (/ 36 (* y z))) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ x (* y (pow z 2)))) (+ (* -3 (/ (* x (+ (* 54 (/ (pow x 2) (pow z 3))) (* 36 (/ 1 z)))) (* y z))) (* 36 (/ x (* y (pow z 2)))))) (+ (* 36 (/ 1 z)) (* 54 (/ (pow x 2) (pow z 3))))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(/ 1 (+ x (* -1/2 (* x (pow y 2))))) |
(+ (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) (pow (+ x (* -1/2 (* x (pow y 2)))) 2))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(+ (* z (- (/ (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))) (pow (+ x (* -1/2 (* x (pow y 2)))) 3)) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(+ (* z (- (* z (- (* -1 (/ (* (pow y 3) (* z (pow (- (* 1/6 (pow y 2)) 1) 3))) (pow (+ x (* -1/2 (* x (pow y 2)))) 4))) (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)) (pow (+ x (* -1/2 (* x (pow y 2)))) 3))))) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* z (- (/ x z) y)) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(/ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) z) |
(/ (- (+ (/ 1 (* y (- (* 1/6 (pow y 2)) 1))) (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* (pow y 2) (* (pow z 3) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) (+ (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))))))) z) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(/ -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (/ (+ (* -1/2 (/ x (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (+ (/ 1 (* y (+ 1 (* -1/6 (pow y 2))))) (/ x (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (+ 1 (* -1/6 (pow y 2))))))) z)) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | -inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (+ (* (neg z) (sin y)) (* x (cos y))) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* (* y y) 1/6) -1) z) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (+ (* (* y y) 1/6) -1) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 5.0ms | z | @ | inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (+ (* (neg z) (sin y)) (* x (cos y))) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* (* y y) 1/6) -1) z) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (+ (* (* y y) 1/6) -1) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 4.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (+ (* (neg z) (sin y)) (* x (cos y))) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* (* y y) 1/6) -1) z) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (+ (* (* y y) 1/6) -1) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 4.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (+ (* (neg z) (sin y)) (* x (cos y))) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* (* y y) 1/6) -1) z) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (+ (* (* y y) 1/6) -1) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 4.0ms | x | @ | -inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (+ (* (neg z) (sin y)) (* x (cos y))) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* (* y y) 1/6) -1) z) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (+ (* (* y y) 1/6) -1) (+ (* 1/6 (* z y)) (* -1/2 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 708 | 3744 |
| 1 | 2332 | 3629 |
| 0 | 8470 | 3374 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ (* x (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))) (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (* x (- (/ (* x (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(* x (cos y)) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* -1/2 (* x y)) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(/ 1 (* x (+ 1 (* -1/2 (pow y 2))))) |
(/ (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x) |
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) (pow (- (* 1/6 (* (pow y 2) z)) z) 3)) (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))))) x) |
(/ (* x (cos y)) z) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1/2 x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(/ -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (- (* 1/2 (pow y 2)) 1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* x (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (- (* 1/6 (* (pow y 2) z)) z) 3)) (* x (pow (- (* 1/2 (pow y 2)) 1) 4))) (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (pow (- (* 1/2 (pow y 2)) 1) 3)))) x)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) 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))))))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 z) |
(- (* -1/2 (* x y)) z) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ 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 |
(- (* 1/6 (pow y 2)) 1) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* y (- (/ x y) z)) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(/ 6 (* (pow y 3) z)) |
(/ (+ (* 18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 3)) |
(/ (- (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z)))) (+ (* -54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -18 (/ x (* y (pow z 2)))))) (pow y 3)) |
(/ (- (+ (* -1 (/ (+ (* -108 (/ x (pow z 2))) (+ (* -3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) z)) (* 36 (/ x (pow z 2))))) (pow y 3))) (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z))))) (+ (* -54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -18 (/ x (* y (pow z 2)))))) (pow y 3)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(/ (cos y) z) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(* -1 (/ (- (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (/ (- (* -1 (/ (- (+ (* 54 (/ (pow x 2) (* y (pow z 3)))) (/ 36 (* y z))) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ x (* y (pow z 2)))) (+ (* -3 (/ (* x (+ (* 54 (/ (pow x 2) (pow z 3))) (* 36 (/ 1 z)))) (* y z))) (* 36 (/ x (* y (pow z 2)))))) (+ (* 36 (/ 1 z)) (* 54 (/ (pow x 2) (pow z 3))))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(/ 1 (+ x (* -1/2 (* x (pow y 2))))) |
(+ (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) (pow (+ x (* -1/2 (* x (pow y 2)))) 2))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(+ (* z (- (/ (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))) (pow (+ x (* -1/2 (* x (pow y 2)))) 3)) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(+ (* z (- (* z (- (* -1 (/ (* (pow y 3) (* z (pow (- (* 1/6 (pow y 2)) 1) 3))) (pow (+ x (* -1/2 (* x (pow y 2)))) 4))) (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)) (pow (+ x (* -1/2 (* x (pow y 2)))) 3))))) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* z (- (/ x z) y)) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(/ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) z) |
(/ (- (+ (/ 1 (* y (- (* 1/6 (pow y 2)) 1))) (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* (pow y 2) (* (pow z 3) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) (+ (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))))))) z) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(/ -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (/ (+ (* -1/2 (/ x (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (+ (/ 1 (* y (+ 1 (* -1/6 (pow y 2))))) (/ x (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (+ 1 (* -1/6 (pow y 2))))))) z)) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(/ -1 (* z (sin y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) x (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) |
(- (* 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 (* y z)) |
(-.f64 x (*.f64 y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(- (* 1/6 (* (pow y 2) z)) z) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
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(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) z) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) z) |
(/ (- (+ (/ 1 (* y (- (* 1/6 (pow y 2)) 1))) (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))))) z) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) (*.f64 z z))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 x z) (/.f64 (/.f64 (/.f64 (/.f64 x y) y) z) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* (pow y 2) (* (pow z 3) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) (+ (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))))))) z) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) y) y)) (/.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)))) (fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) (*.f64 z z))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 x z) (/.f64 (/.f64 (/.f64 (/.f64 x y) y) z) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))))) z) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) z) |
(* -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 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) (neg.f64 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 (/ x z)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y) z)) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)) |
(/ -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y) z)) |
(* -1 (/ (+ (* -1/2 (/ x (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (+ (/ 1 (* y (+ 1 (* -1/6 (pow y 2))))) (/ x (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))))) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 x z) (+.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) y) z) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)) (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y) z)) (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (+ 1 (* -1/6 (pow y 2))))))) z)) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 y y) z)) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (neg.f64 z)) (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 299 |
| 0 | 77 | 287 |
| 1 | 270 | 287 |
| 2 | 1895 | 287 |
| 0 | 8428 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x) |
#s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/.f64 (cos.f64 y) z) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) #s(literal -1/2 binary64)) x))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 y z))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 z (*.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y z)) (*.f64 #s(literal -1/2 binary64) x)) |
Compiled 30 027 to 3 202 computations (89.3% saved)
37 alts after pruning (31 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 698 | 17 | 715 |
| Fresh | 7 | 14 | 21 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 707 | 37 | 744 |
| Status | Accuracy | Program |
|---|---|---|
| 74.4% | (fma.f64 (sin.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (*.f64 (cos.f64 y) x)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 50.7% | (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| ▶ | 40.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
| 45.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 68.1% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ✓ | 83.4% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 57.8% | (-.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))) | |
| ▶ | 91.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
| 45.9% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 85.3% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (neg.f64 x) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))))) | |
| 57.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) | |
| 57.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| 58.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) | |
| ▶ | 58.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| ✓ | 58.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
| 58.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) z)) y x)) | |
| 38.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) | |
| 38.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| ▶ | 38.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
| 38.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x))))) | |
| ✓ | 87.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
| 87.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (neg.f64 (sin.f64 y))) z)) | |
| ▶ | 75.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) |
| 55.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (sin.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))) (*.f64 (cos.f64 y) x))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (sin.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))) z)) z)) | |
| 70.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) z)) z)) | |
| 43.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) | |
| 32.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z)) | |
| 12.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) | |
| 12.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) y))) | |
| 46.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| 57.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) | |
| ✓ | 22.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
| 38.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
Compiled 1 793 to 1 249 computations (30.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 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 | (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 334 |
| 0 | 78 | 324 |
| 1 | 130 | 324 |
| 2 | 226 | 324 |
| 3 | 524 | 324 |
| 4 | 1263 | 320 |
| 5 | 2588 | 320 |
| 6 | 4148 | 320 |
| 7 | 5674 | 320 |
| 8 | 6838 | 320 |
| 9 | 7524 | 320 |
| 10 | 7783 | 320 |
| 11 | 7951 | 320 |
| 0 | 8007 | 314 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(neg.f64 z) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) |
(*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z) |
(fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) |
#s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(neg.f64 z) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) |
(*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z) |
(fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) |
#s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) | |
| accuracy | 0.09765625 | (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) | |
| accuracy | 8.122608499010662 | (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z) | |
| accuracy | 24.44287914060458 | #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.3106737923297262 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 3.368736966728664 | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) | |
| accuracy | 23.440108761913095 | #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| accuracy | 26.99752963591474 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 38.030716343397984 | #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (fma.f64 (neg.f64 z) y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 26.37415696469777 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| accuracy | 0 | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) | |
| accuracy | 0.078125 | (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) | |
| accuracy | 0.109375 | (/.f64 (sin.f64 y) x) | |
| accuracy | 5.303898688030311 | (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
| 103.0ms | 256× | 0 | valid |
Compiled 568 to 108 computations (81% saved)
ival-mult: 26.0ms (32.5% of total)ival-div: 18.0ms (22.5% of total)ival-add: 11.0ms (13.7% of total)ival-sin: 6.0ms (7.5% of total)ival-cos: 5.0ms (6.2% of total)const: 4.0ms (5% of total)ival-pow: 4.0ms (5% of total)ival-neg: 3.0ms (3.7% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.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 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))) |
#s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) |
(*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z) |
(fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) |
#s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (sin.f64 y) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(/ 1 x) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ (* x (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))) (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (* x (- (/ (* x (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(/ 1 (* x (+ 1 (* -1/2 (pow y 2))))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (sin y) x) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(/ (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x) |
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) (pow (- (* 1/6 (* (pow y 2) z)) z) 3)) (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))))) x) |
(/ (* x (cos y)) z) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(/ -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (- (* 1/2 (pow y 2)) 1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* x (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (- (* 1/6 (* (pow y 2) z)) z) 3)) (* x (pow (- (* 1/2 (pow y 2)) 1) 4))) (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (pow (- (* 1/2 (pow y 2)) 1) 3)))) x)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(+ 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 (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 1/4 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) x)) (* 1/4 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(/ 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 (* 1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/2 (* 1/4 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/4 (* 1/8 (pow y 2))))))) |
(* y (+ (* -1 z) (/ x y))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(/ 6 (* (pow y 3) z)) |
(/ (+ (* 18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 3)) |
(/ (- (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z)))) (+ (* -54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -18 (/ x (* y (pow z 2)))))) (pow y 3)) |
(/ (- (+ (* -1 (/ (+ (* -108 (/ x (pow z 2))) (+ (* -3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) z)) (* 36 (/ x (pow z 2))))) (pow y 3))) (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z))))) (+ (* -54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -18 (/ x (* y (pow z 2)))))) (pow y 3)) |
(/ -2 (* x (pow y 2))) |
(* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* x (pow y 2))))) (pow y 2))) |
(/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 2 (/ 1 x))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 8 (/ 1 x)) (* 16 (/ 1 (* x (pow y 2))))) (pow y 4))) (+ (* 2 (/ 1 x)) (/ 4 (* x (pow y 2))))) (pow y 2)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(/ (cos y) z) |
(/ -2 (pow y 2)) |
(* -1 (/ (+ 2 (* 4 (/ 1 (pow y 2)))) (pow y 2))) |
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow y 2)))) (pow y 2))) 2) (pow y 2)) |
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow y 2)))) (pow y 4))) (+ 2 (* 4 (/ 1 (pow y 2))))) (pow y 2)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (/ (- (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (/ (- (* -1 (/ (- (+ (* 54 (/ (pow x 2) (* y (pow z 3)))) (/ 36 (* y z))) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ x (* y (pow z 2)))) (+ (* -3 (/ (* x (+ (* 54 (/ (pow x 2) (pow z 3))) (* 36 (/ 1 z)))) (* y z))) (* 36 (/ x (* y (pow z 2)))))) (+ (* 36 (/ 1 z)) (* 54 (/ (pow x 2) (pow z 3))))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 z) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(/ 1 (+ x (* -1/2 (* x (pow y 2))))) |
(+ (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) (pow (+ x (* -1/2 (* x (pow y 2)))) 2))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(+ (* z (- (/ (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))) (pow (+ x (* -1/2 (* x (pow y 2)))) 3)) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(+ (* z (- (* z (- (* -1 (/ (* (pow y 3) (* z (pow (- (* 1/6 (pow y 2)) 1) 3))) (pow (+ x (* -1/2 (* x (pow y 2)))) 4))) (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)) (pow (+ x (* -1/2 (* x (pow y 2)))) 3))))) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 y) (/ x z))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(/ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) z) |
(/ (- (+ (/ 1 (* y (- (* 1/6 (pow y 2)) 1))) (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* (pow y 2) (* (pow z 3) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) (+ (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))))))) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(/ -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (/ (+ (* -1/2 (/ x (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (+ (/ 1 (* y (+ 1 (* -1/6 (pow y 2))))) (/ x (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (+ 1 (* -1/6 (pow y 2))))))) z)) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (/ (sin y) x) (/ 1 (+ (* (* y y) -1/2) 1))) |
| 4.0ms | x | @ | -inf | ((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (/ (sin y) x) (/ 1 (+ (* (* y y) -1/2) 1))) |
| 4.0ms | y | @ | inf | ((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (/ (sin y) x) (/ 1 (+ (* (* y y) -1/2) 1))) |
| 4.0ms | x | @ | inf | ((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (/ (sin y) x) (/ 1 (+ (* (* y y) -1/2) 1))) |
| 3.0ms | y | @ | -inf | ((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (/ (sin y) x) (/ 1 (+ (* (* y y) -1/2) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 747 | 3758 |
| 1 | 2442 | 3648 |
| 0 | 8283 | 3401 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(/ 1 x) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ (* x (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))) (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (* x (- (/ (* x (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(/ 1 (* x (+ 1 (* -1/2 (pow y 2))))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (sin y) x) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(/ (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x) |
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) (pow (- (* 1/6 (* (pow y 2) z)) z) 3)) (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))))) x) |
(/ (* x (cos y)) z) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(/ -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (- (* 1/2 (pow y 2)) 1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* x (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (- (* 1/6 (* (pow y 2) z)) z) 3)) (* x (pow (- (* 1/2 (pow y 2)) 1) 4))) (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (pow (- (* 1/2 (pow y 2)) 1) 3)))) x)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x)) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(+ 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 (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 1/4 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) x)) (* 1/4 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(/ 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 (* 1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/2 (* 1/4 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/4 (* 1/8 (pow y 2))))))) |
(* y (+ (* -1 z) (/ x y))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(/ 6 (* (pow y 3) z)) |
(/ (+ (* 18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 3)) |
(/ (- (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z)))) (+ (* -54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -18 (/ x (* y (pow z 2)))))) (pow y 3)) |
(/ (- (+ (* -1 (/ (+ (* -108 (/ x (pow z 2))) (+ (* -3 (/ (* x (- (* 36 (/ 1 z)) (* -54 (/ (pow x 2) (pow z 3))))) z)) (* 36 (/ x (pow z 2))))) (pow y 3))) (+ (* 6 (/ 1 z)) (* 36 (/ 1 (* (pow y 2) z))))) (+ (* -54 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -18 (/ x (* y (pow z 2)))))) (pow y 3)) |
(/ -2 (* x (pow y 2))) |
(* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* x (pow y 2))))) (pow y 2))) |
(/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 2 (/ 1 x))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 8 (/ 1 x)) (* 16 (/ 1 (* x (pow y 2))))) (pow y 4))) (+ (* 2 (/ 1 x)) (/ 4 (* x (pow y 2))))) (pow y 2)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(/ (cos y) z) |
(/ -2 (pow y 2)) |
(* -1 (/ (+ 2 (* 4 (/ 1 (pow y 2)))) (pow y 2))) |
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow y 2)))) (pow y 2))) 2) (pow y 2)) |
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow y 2)))) (pow y 4))) (+ 2 (* 4 (/ 1 (pow y 2))))) (pow y 2)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (/ (- (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (/ (- (* -1 (/ (- (+ (* 54 (/ (pow x 2) (* y (pow z 3)))) (/ 36 (* y z))) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ x (* y (pow z 2)))) (+ (* -3 (/ (* x (+ (* 54 (/ (pow x 2) (pow z 3))) (* 36 (/ 1 z)))) (* y z))) (* 36 (/ x (* y (pow z 2)))))) (+ (* 36 (/ 1 z)) (* 54 (/ (pow x 2) (pow z 3))))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) (pow y 3))) |
(* -1 z) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(/ 1 (+ x (* -1/2 (* x (pow y 2))))) |
(+ (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) (pow (+ x (* -1/2 (* x (pow y 2)))) 2))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(+ (* z (- (/ (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))) (pow (+ x (* -1/2 (* x (pow y 2)))) 3)) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(+ (* z (- (* z (- (* -1 (/ (* (pow y 3) (* z (pow (- (* 1/6 (pow y 2)) 1) 3))) (pow (+ x (* -1/2 (* x (pow y 2)))) 4))) (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)) (pow (+ x (* -1/2 (* x (pow y 2)))) 3))))) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* z (+ (* -1 y) (/ x z))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(/ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) z) |
(/ (- (+ (/ 1 (* y (- (* 1/6 (pow y 2)) 1))) (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* (pow y 2) (* (pow z 3) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) (+ (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))))))) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(/ -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (/ (+ (* -1/2 (/ x (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (+ (/ 1 (* y (+ 1 (* -1/6 (pow y 2))))) (/ x (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (+ 1 (* -1/6 (pow y 2))))))) z)) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(- (* x (cos y)) (* 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 y z)) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) x (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) z) |
(+ (* x (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64)))) x (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) z)) |
(+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))) (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64)))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64))))) x (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) z)) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (* x (- (/ (* x (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)))))) (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow (- (* 1/6 (* (pow y 2) z)) z) 2))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (* y (- (* 1/6 (* (pow y 2) z)) z)))))) (/ 1 (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2))))) (/ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) x) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64)))) (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64)))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64))))) x (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) z)) |
(/ 1 (* x (+ 1 (* -1/2 (pow y 2))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x))))) x) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z) x)) x x) |
(/ (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z) x) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) |
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (*.f64 y y) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z) x) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) (pow (- (* 1/6 (* (pow y 2) z)) z) 3)) (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))))) x) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) x)) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z) x) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x) |
(/ (* x (cos y)) z) |
(*.f64 (/.f64 (cos.f64 y) z) x) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) #s(literal -1 binary64))) x) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) x) #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/ -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x)) |
(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (* x (pow (- (* 1/2 (pow y 2)) 1) 2)))) x)) |
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (* (pow y 2) z)) z) 2)) (* x (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x)) |
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z) (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(+ (* z (- (/ (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))) (pow (+ x (* -1/2 (* x (pow y 2)))) 3)) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)) z) y) y) (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) z (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
(+ (* z (- (* z (- (* -1 (/ (* (pow y 3) (* z (pow (- (* 1/6 (pow y 2)) 1) 3))) (pow (+ x (* -1/2 (* x (pow y 2)))) 4))) (* -1 (/ (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)) (pow (+ x (* -1/2 (* x (pow y 2)))) 3))))) (/ (* y (- (* 1/6 (pow y 2)) 1)) (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 3 binary64)) z) (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)) y) y) (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)))) z (/.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) z (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y (/.f64 x z))) z) |
(/ 1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) z) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2)))) z)) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) z) |
(/ (- (+ (/ 1 (* y (- (* 1/6 (pow y 2)) 1))) (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))))) z) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) (*.f64 z z))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 x z) (/.f64 (/.f64 (/.f64 (/.f64 x y) y) z) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* (pow y 2) (* (pow z 3) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (/ 1 (* y (- (* 1/6 (pow y 2)) 1)))) (+ (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (- (* 1/6 (pow y 2)) 1) 2))) (/ x (* (pow y 2) (pow (- (* 1/6 (pow y 2)) 1) 2))))) (* y (* (pow z 2) (- (* 1/6 (pow y 2)) 1))))) (+ (* -1/2 (/ x (* z (pow (- (* 1/6 (pow y 2)) 1) 2)))) (/ x (* (pow y 2) (* z (pow (- (* 1/6 (pow y 2)) 1) 2))))))) z) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) y) y)) (/.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)))) (fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) (*.f64 z z))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 x z) (/.f64 (/.f64 (/.f64 (/.f64 x y) y) z) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 2 binary64)))))) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z)) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(*.f64 (-.f64 y (/.f64 x z)) (neg.f64 z)) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z)) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y) z)) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)) (neg.f64 z)) |
(/ -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y) z)) |
(* -1 (/ (+ (* -1/2 (/ x (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (+ (/ 1 (* y (+ 1 (* -1/6 (pow y 2))))) (/ x (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))))) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 x z) (+.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) y) z) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)) (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y) z)) (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* (pow y 2) (* z (pow (+ 1 (* -1/6 (pow y 2))) 2)))) (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) (* y (+ 1 (* -1/6 (pow y 2))))))) z)) (+ (* -1/2 (/ x (pow (+ 1 (* -1/6 (pow y 2))) 2))) (/ x (* (pow y 2) (pow (+ 1 (* -1/6 (pow y 2))) 2))))) z)) (/ 1 (* y (+ 1 (* -1/6 (pow y 2)))))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 y y) z)) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (neg.f64 z)) (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64))))) z)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 295 |
| 0 | 78 | 285 |
| 1 | 318 | 285 |
| 2 | 2135 | 285 |
| 0 | 8696 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.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 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))) |
#s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) |
(*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z) |
(fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) |
#s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (sin.f64 y) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(*.f64 x (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))))) |
(/.f64 (neg.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)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.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)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(/.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) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 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) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x)) |
(fma.f64 (cos.f64 y) x (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) |
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (*.f64 (cos.f64 y) x)) |
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x)) |
(fma.f64 x (cos.f64 y) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x) (cos.f64 y)) |
(fma.f64 (/.f64 z x) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (cos.f64 y)) |
(fma.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 z) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 z) x) (/.f64 (sin.f64 y) #s(literal 1 binary64)) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (cos.f64 y)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) (/.f64 (neg.f64 z) #s(literal 1 binary64)) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 z)) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 z (/.f64 (neg.f64 (sin.f64 y)) x) (cos.f64 y)) |
(fma.f64 z (neg.f64 (/.f64 (sin.f64 y) x)) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))))) |
(-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (neg.f64 z) x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 y (neg.f64 z) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
Compiled 21 631 to 2 424 computations (88.8% saved)
40 alts after pruning (32 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 15 | 506 |
| Fresh | 9 | 17 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 503 | 40 | 543 |
| Status | Accuracy | Program |
|---|---|---|
| 74.4% | (fma.f64 (sin.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (*.f64 (cos.f64 y) x)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 50.7% | (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 40.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
| 45.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 83.4% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 57.8% | (-.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))) | |
| 91.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (cos.f64 y)) x)) | |
| 85.3% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)) | |
| 91.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) | |
| 45.9% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 57.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x))) x)) | |
| 37.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) | |
| 56.3% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) | |
| 40.5% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) | |
| 57.7% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))) | |
| 57.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) | |
| 58.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) | |
| ✓ | 58.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| ✓ | 58.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
| 58.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) z)) y x)) | |
| 38.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) | |
| 38.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| 38.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)))) | |
| 3.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x)))) | |
| 38.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))))) | |
| 38.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))) | |
| 3.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) #s(approx (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 2 binary64) x))) y) y))))) | |
| 87.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (neg.f64 (sin.f64 y))) z)) | |
| ✓ | 75.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) |
| 70.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) z)) z)) | |
| 32.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z)) | |
| 43.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (*.f64 (/.f64 (cos.f64 y) z) x)) z)) | |
| 38.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) | |
| 12.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) | |
| 12.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) y))) | |
| 46.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| ✓ | 22.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
Compiled 2 988 to 1 172 computations (60.8% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y 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(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) #s(approx (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 2 binary64) x))) y) y))))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (*.f64 (/.f64 (cos.f64 y) z) x)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) (neg z)) (* (cos y) x)) (*.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 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (neg.f64 x) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (neg.f64 (sin.f64 y))) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (cos.f64 y)) x)) |
(fma.f64 (sin.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (*.f64 (cos.f64 y) x)) |
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(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))) (neg.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(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (sin.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))) (*.f64 (cos.f64 y) x))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (sin.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))) z)) z)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
4 calls:
| 19.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 19.0ms | z |
| 19.0ms | y |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y 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(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) #s(approx (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 2 binary64) x))) y) y))))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (*.f64 (/.f64 (cos.f64 y) z) x)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
(-.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:
| 14.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | x |
| 14.0ms | y |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y 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(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) #s(approx (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 2 binary64) x))) y) y))))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (*.f64 (/.f64 (cos.f64 y) z) x)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (neg.f64 (sin.f64 y))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* x (cos y)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
| Outputs |
|---|
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 13.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 13.0ms | z |
| 13.0ms | x |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 3 | x |
| 83.4% | 1 | y |
| 92.9% | 3 | z |
| 83.4% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y 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(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) #s(approx (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 2 binary64) x))) y) y))))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
4 calls:
| 11.0ms | x |
| 11.0ms | y |
| 11.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.3% | 4 | y |
| 63.7% | 3 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 75.5% | 3 | x |
| 80.6% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y 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(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) #s(approx (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 2 binary64) x))) y) y))))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (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 (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) |
2 calls:
| 11.0ms | y |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.4% | 3 | z |
| 75.6% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 #s(approx (/ 1 (+ (* (* y y) -1/2) 1)) (/.f64 #s(literal -2 binary64) (*.f64 y 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(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x)) #s(approx (/ (/ 1 (+ (* (* y y) -1/2) 1)) x) (/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 2 binary64) x))) y) y))))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
4 calls:
| 10.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | x |
| 10.0ms | y |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 58.8% | 1 | z |
| 58.8% | 1 | x |
| 58.8% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
4 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 58.8% | 1 | y |
| 58.8% | 1 | x |
| 58.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
4 calls:
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.7% | 3 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 43.9% | 3 | y |
| 46.7% | 3 | x |
| 49.1% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
4 calls:
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.5% | 1 | y |
| 40.5% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 40.5% | 1 | x |
| 40.5% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 6.889123833955114e-23 | 2.010022457863616e-18 |
| 13.0ms | -1.2107386230107502e-61 | -2.8756070031092417e-62 |
| 20.0ms | 224× | 0 | valid |
Compiled 586 to 448 computations (23.5% saved)
ival-cos: 5.0ms (37.1% of total)ival-sin: 4.0ms (29.7% of total)ival-mult: 3.0ms (22.3% of total)ival-sub: 1.0ms (7.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.0009370032138680851 | 354225.9759940963 |
| 26.0ms | -27122169912632310.0 | -51530.86004648061 |
| 18.0ms | -1.9408882917852085e+260 | -3.460530509381184e+258 |
| 43.0ms | 416× | 0 | valid |
Compiled 1 087 to 834 computations (23.3% saved)
ival-cos: 12.0ms (38.4% of total)ival-sin: 11.0ms (35.2% of total)ival-mult: 6.0ms (19.2% of total)ival-sub: 2.0ms (6.4% of total)ival-true: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3668794281561971e-10 | 7.437507445531373e-9 |
| 17.0ms | -51530.86004648061 | -0.0010204134044549623 |
| 18.0ms | 256× | 0 | valid |
Compiled 924 to 638 computations (31% saved)
ival-mult: 4.0ms (35.4% of total)ival-cos: 3.0ms (26.5% of total)ival-sin: 3.0ms (26.5% of total)ival-sub: 1.0ms (8.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.3096766848011267e+148 | 1.9645093261202375e+164 |
| 6.0ms | -2201295532056465200.0 | -1896272492072107300.0 |
| 19.0ms | 208× | 0 | valid |
Compiled 649 to 469 computations (27.7% saved)
ival-cos: 5.0ms (37.9% of total)ival-sin: 4.0ms (30.3% of total)ival-mult: 3.0ms (22.7% of total)ival-sub: 1.0ms (7.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 406 |
| 1 | 119 | 406 |
| 2 | 141 | 406 |
| 3 | 152 | 406 |
| 4 | 159 | 406 |
| 5 | 161 | 406 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4486144485774091/332306998946228968225951765070086144 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 y #s(literal -10500000000000000276332342354196570635870997923306752069868583855088929438087738574037456313920238088337967146450988475131073344874607519443896434846237315503412461475846444213702471432306322987456957011312101748828758323207676164022106394862526449466468204544 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -52000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 3170534137668829/72057594037927936 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -1/8 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 279564095785883/37778931862957161709568 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 (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal -2200000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 52000000000000002637644622444777931456421280169599249008947373564603507242042282217963950535033116533015760702658980086722093712553726672981143565893632 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4486144485774091/332306998946228968225951765070086144 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (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 -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4486144485774091/332306998946228968225951765070086144 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 y #s(literal -10500000000000000276332342354196570635870997923306752069868583855088929438087738574037456313920238088337967146450988475131073344874607519443896434846237315503412461475846444213702471432306322987456957011312101748828758323207676164022106394862526449466468204544 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -52000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 3170534137668829/72057594037927936 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -1/8 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 279564095785883/37778931862957161709568 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 (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)))) |
(if (<=.f64 y #s(literal -1/8 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 279564095785883/37778931862957161709568 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal -2200000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 52000000000000002637644622444777931456421280169599249008947373564603507242042282217963950535033116533015760702658980086722093712553726672981143565893632 binary64)) #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 170 |
| 0 | 56 | 166 |
| 1 | 203 | 166 |
| 2 | 1282 | 166 |
| 0 | 8251 | 166 |
| 0 | 97 | 255 |
| 1 | 292 | 250 |
| 2 | 840 | 244 |
| 3 | 2074 | 238 |
| 4 | 3607 | 238 |
| 5 | 6263 | 238 |
| 0 | 8477 | 217 |
| 0 | 457 | 1906 |
| 1 | 1531 | 1830 |
| 2 | 5265 | 1795 |
| 0 | 8411 | 1685 |
| 0 | 708 | 3744 |
| 1 | 2332 | 3629 |
| 0 | 8470 | 3374 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1964 | 19 |
| 0 | 8379 | 19 |
| 0 | 747 | 3758 |
| 1 | 2442 | 3648 |
| 0 | 8283 | 3401 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 895 to 401 computations (55.2% saved)
Compiled 830 to 196 computations (76.4% saved)
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